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ENHANCED BROADBAND ANTI-REFLECTION IN LASER PROCESSED SILICON NANO-STRUCTURE ARRAYS FOR SOLAR CELLS FU XIAOTIAN (B. Eng. (2nd Upper.) NUS) A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE 2014 DECLARATION I hereby declare that the thesis is my original work and it has been written by me in its entirety. I have duly acknowledged all the sources of information which have been used in this thesis. This thesis has also not been submitted for any degree in any university previously. Name: FU XIAOTIAN Signature: _________________ Date: _________________ Acknowledgements ACKNOWLEDGEMENTS I would like to express my heartfelt appreciation and gratitude to my supervisors, Prof. Hong Minghui, Dr. Bram Hoex and Dr. Ian Marius Peter for their invaluable guidance and great support throughout my Master project. Without their valuable advice and encouragements, the progress of this project will not be as smooth as it is. I am deeply grateful to Prof. Hong Minghui for the high standard he held on me. Without his dedicate care, my research work would be slow down. His acute sense and strict attitude in research field inspire and give me great help. It is my pleasure to recognize all the members in Laser Microprocessing Lab for sharing their experience in research and giving me kind help and useful discussion. Special thanks would be expressed to Dr. Luo Fangfang, Dr. Du Zheren, Mr. Yang Jing and Mr. Wang Dacheng for your help in both my study and life, and I deeply appreciate the time shared with you. I wish you best luck in your career. I am grateful to all the members from Monocrystalline Silicon Wafer Group and Simulation Group in Solar Energy Research Institute of Singapore (SERIS) for giving me their kind advice and experience in research. The scholarship provided by SERIS for my Master degree is gratefully acknowledged. Last but the most importantly, I would like to give my great thanks to my parents for their great encouragement and constant support during my years of pursuing degree in National University of Singapore. i Table of contents TABLE OF CONTENTS ACKNOWLEDGEMENTS ..................................................................................... i TABLE OF CONTENTS ........................................................................................ ii SUMMARY .......................................................................................................... vii LIST OF FIGURES ............................................................................................... ix LIST OF SYMBOLS ........................................................................................... xiii CHAPTER 1 INTRODUCTION ............................................................................ 1 1.1 Background .................................................................................................. 1 1.2 Motivation .................................................................................................... 2 1.3 Research objectives...................................................................................... 4 1.4 Organization of thesis .................................................................................. 5 CHAPTER 2 BACKGROUND AND LITERATURE REVIEW .......................... 7 2.1 Silicon solar cells ......................................................................................... 7 2.1.1 Introduction .......................................................................................... 7 2.1.2 Optical properties of silicon ................................................................. 8 2.1.3 Optical loss ......................................................................................... 11 ii Table of contents 2.1.4 Surface texturing................................................................................. 13 2.1.5 Light trapping ..................................................................................... 15 2.2 Light scattering by nanoparticles (NPs) ..................................................... 18 2.2.1 Properties of surface plasmons ........................................................... 19 2.2.2 Surface plasmon excitation................................................................. 21 2.3 Numerical simulation ................................................................................. 23 CHAPTER 3 EXPERIMENTAL SETUP AND FABRICATION DETAILS ..... 27 3.1 Introduction ................................................................................................ 27 3.1.1 Laser micro-lens array (MLA) lithography ........................................ 27 3.1.2 Laser interference lithography (LIL) .................................................. 29 3.1.2.1 Principle of LIL............................................................................... 30 3.1.2.2 Lloyd’s mirror setup........................................................................ 31 3.1.3 3.2 Top-down fabrication of silicon nanowires ........................................ 33 Fabrication details ...................................................................................... 36 3.2.1 Substrate selection and wafer cleaning............................................... 36 3.2.1.1 RCA I cleaning................................................................................ 36 3.2.1.2 RCA II cleaning .............................................................................. 37 3.2.1.3 5% Hydrofluoric Acid Dip.............................................................. 37 3.2.2 Photoresist coating.............................................................................. 38 iii Table of contents 3.2.3 Exposure and develop......................................................................... 40 3.2.3.1 Concentric rings nano-structure arrays ........................................... 40 3.2.3.2 Silicon nanowire arrays................................................................... 40 3.2.4 Metallic thin film deposition .............................................................. 41 3.2.5 Lift-off ................................................................................................ 43 3.2.6 Chemical etching and 3D nano-structures fabrication ....................... 46 CHAPTER 4 HYBRID 3D SILICON SURFACE NANO-STRUCTURE ARRAYS FOR SOLAR CELLS BY LASER MICRO/NANO-PROCESSING.. 49 4.1 Introduction ................................................................................................ 49 4.2 Characterization methods........................................................................... 50 4.2.1 Optical microscope (OM) imaging ..................................................... 50 4.2.2 Scanning electron microscope (SEM) imaging .................................. 51 4.2.2.1 Silicon concentric nano-rings array ................................................ 51 4.2.2.2 Silicon nanowires array................................................................... 53 4.2.3 UV-Vis spectroscopy.......................................................................... 56 4.2.3.1 Silicon concentric nano-rings array ................................................ 57 4.2.3.2 Silicon nanowires array with different pillar heights ...................... 59 4.2.3.3 Silicon nanowires array with different pillar diameters .................. 62 4.3 “Mushroom”-shape silicon nanowires array.............................................. 64 iv Table of contents 4.3.1 Scanning electron microscope (SEM) image ..................................... 66 4.3.2 UV-Vis spectroscopy.......................................................................... 67 4.4 Theoretical analyses of enhanced light trapping in hybrid 3D silicon nano- structures array ...................................................................................................... 69 4.4.1 Optical performance ........................................................................... 69 4.4.1.1 Reflectance of silicon nano-structures array ................................... 69 4.4.1.2 Absorption of silicon nano-structures array.................................... 71 4.4.2 4.5 E-field distribution in single standing nano-structure ........................ 72 Summary .................................................................................................... 76 CHAPTER 5 BROADBAND ENHANCEMENT OF ANTI-REFLECTION IN SILICON MICRO/NANO-STRUCTURES ......................................................... 78 5.1 Introduction ................................................................................................ 78 5.2 Experimental details................................................................................... 79 5.2.1 Metallic nanoparticles deposition ....................................................... 79 5.2.2 Pyramid micro-structures ................................................................... 79 5.2.3 Laser surface texturing ....................................................................... 81 5.2.4 Thermal annealing of metallic nanoparticles...................................... 82 5.3 Characterization ......................................................................................... 84 5.3.1 Scanning electron microscope imaging .............................................. 84 v Table of contents 5.3.1.1 Flat silicon with metallic nanoparticles deposition ......................... 84 5.3.1.2 Pyramid micro-structure with metallic nanoparticles deposition ... 85 5.3.1.3 Laser surface texturing with metallic nanoparticles’ deposition .... 86 5.3.2 UV-Vis spectroscopy.......................................................................... 89 5.3.2.1 Silicon micro/nano-structures with metallic nanoparticles’ deposition....................................................................................................... 89 5.3.2.2 Silicon back surface texturing ......................................................... 97 5.4 Summary .................................................................................................... 99 CHAPTER 6 CONCLUSIONS AND FUTURE WORK ................................... 101 6.1 Research achievements ............................................................................ 101 6.2 Suggestion for the future work................................................................. 103 References: .......................................................................................................... 105 vi Summary SUMMARY Light collection efficiency act as a key factor affecting the performance of many optical and optical-electronic devices. For silicon wafer solar cells, the high reflection at the front surface, due to its high refractive index, is a hindrance to the devices’ light collection efficiency. To minimize unwanted reflection and increase light trapping, anti-reflection surfaces by micro/nano-texturing are one of the most promising candidates, which is featuring an improved anti-reflection as well as enabling the probability of manufacturing high-efficiency solar cells on a large scale. This thesis focuses on broadband enhancement of light absorption for solar cells by silicon surface texturing using laser micro/nano-processing. Laser technology has become one of the commonly applied techniques for highefficiency silicon wafer solar cell fabrication. In this thesis, laser interference lithography (LIL) and micro-lens array (MLA) lithography are adopted as maskfree and efficient techniques, associated with metal catalyst assisted chemical etching, to fabricate silicon nano-structures arrays. The surface anti-reflection performance and light trapping are significantly improved by sub-wavelength structures at ultra-high aspect ratios, which create gradient refractive index from air ambient to wafer substrate. Furthermore by varying the surface geometry and feature design of the nano-structures arrays, the light absorption in the nanostructures are boosted by extending the light travelling path and changing the silicon volume ratio at the nano-structures layers. Meanwhile, with the decoration vii Summary of metallic nanoparticles on silicon nano-structures, the surface plasmon resonance can be excited to further enhance broadband anti-reflection, achieving an ultra-low reflection across the broad spectrum from 300 to 1200 nm. viii List of figures LIST OF FIGURES Chapter Two Figure 2.1 Evolution of silicon solar cell efficiency [36] ....................................... 7 Figure 2.2 In the wavelength regime 300 nm < λ < 1200 nm, which is relevant to silicon solar cell operation, the absorption coefficient 𝛼0 and correspondingly the absorption length 𝐿𝛼 of c-Si strongly depend on wavelength. [39]...................... 10 Figure 2.3 Schematic illustration of optical loss processes in a solar cell [43]. ... 12 Figure 2.4 Comparison of light travelling path on flat and textured silicon surfaces. ............................................................................................................................... 14 Figure 2.5 Silicon surface structures fabricated by (a) KOH etching, (b) catalystassisted chemical etching, (c) plasma etching and (d) femtosecond laser induced texturing [25] [48]. ................................................................................................ 15 Figure 2.6 Schematic diagram illustrating reflection and transmission of light for a pyramidal textured silicon solar cell [43]. ............................................................ 17 Figure 2.7 Schematic illustration of plasmon collective oscillation of a spherical gold colloid, showing the displacement of the conduction electron charge cloud relative to the nuclei [54]. ..................................................................................... 20 Figure 2.8 SPP excitation configurations: (a) Otto geometry (b) Kretschmann geometry, (c) diffraction on a grating, and (d) diffraction on surface features [60]. ............................................................................................................................... 21 Figure 2.9 Rayleigh expansion for the diffracted fields [70]. .............................. 25 Chapter Three Figure 3.1 Schematic of the experimental setup used for laser micro-lens array lithography. ........................................................................................................... 28 ix List of figures Figure 3.2 Schematic illlustration of a standing wave generated by the interference of two coherent laser beams.............................................................. 31 Figure 3.3 Schematic illlustration of a Lloyd's mirror setup for laser interference lithography of periodic structures on photoresist.................................................. 32 Figure 3.4 Scanning electron micrographs showing (a) the arrays of silicon nanowires prepared by using inductively coupled plasma etching [81]; and (b) the arrays of silicon nanopillars fabricated by optical lithography and reactive ion etching [82]. .......................................................................................................... 33 Figure 3.5 Scanning electron micrographs of Ag–Si after treatment in an aqueous solution containing (a) 5.3 M HF and 0.18 M H2O2 for 1 min; (b) 5.3M HF and 1.8M H2O2 for 1 min. Inset shows an enlarged image at the top surface region [89]. ....................................................................................................................... 35 Figure 3.6 Measurement of the film thickness using a step profiler. .................... 39 Figure 3.7 Schematic drawing of an electron beam evaporator. ........................... 42 Figure 3.8 Process flow for the single-layer lift-off process................................. 45 Figure 3.9 Schematic illustration of catalyst assisted wet etching process........... 47 Figure 3.10 Schematic diagram depicting the experimental setup for catalyst assisted wet etching............................................................................................... 48 Chapter Four Figure 4.1 Optical microscope top view images of fabricated (a) silicon concentric nano-rings array and (b) silicon nanowires array.................................................. 51 Figure 4.2 SEM micrographs of silicon concentric nano-rings arrays fabricated at heights of (a) 750 nm, (b) 3 µm and (c) 12µm. .................................................... 53 Figure 4.3 SEM micrographs of silicon nanowires array fabricated with (a) 300 nm diameter and pillars’ height of (b) 300 nm, (c) 1 µm, (d) 6 µm, (e) 12 µm and (f) 40 µm. .............................................................................................................. 54 Figure 4.4 SEM image of silicon nanowires array fabricated with (a) less than half period, (b) half period and (c) larger than half period diameters of the pillars at the same height.................................................................................................. 56 x List of figures Figure 4.5 Reflectance spectra of silicon concentric nano-rings arrays with (a) 750 nm, (b) 3 µm and (c) 12 µm ring heights. ...................................................... 58 Figure 4.6 Measured reflectance spectra of silicon nanowires arrays with (a) 1 µm, (b) 6 µm, (c) 12 µm and (d) 40 µm pillar heights. ........................................ 61 Figure 4.7 Measured reflectance spectra of silicon nanowires array with pillar diameters of (a) less than, (b) equal to and (c) larger than half period. ................ 63 Figure 4.8 Schematically cross section view of LIL-based lift -up process. ........ 64 Figure 4.9 Schematic process flow for the fabrication of 3D silicon nanostructures array fabrication without using a lift off process.................................. 65 Figure 4.10 SEM micrograph of a "mushroom"-shape silicon nanowires array. . 67 Figure 4.11 Measured reflection spectra of silicon nanowires array with and without the "mushroom"-shape crowns. ............................................................... 68 Figure 4.12 Measured spectrally resolved reflectance of planar silicon, normal and “mushroom”-shape silicon nanowires. ......................................................... 70 Figure 4.13 Measured spectrally resolved absorption spectra of planar, normal and “mushroom”-shape silicon nanowires. ......................................................... 72 Figure 4.14 Plot of the simulated absolute value of square of electric field in ydirection (abs(Ey)2) for (a) planar and (b) “mushroom”-shape nanowires structures at wavelengths of 300 nm and (c) 1000 nm. ......................................................... 75 Chapter Five Figure 5.1 (a) Top view and (b) cross section SEM images of the KOH etched silicon surface. ...................................................................................................... 80 Figure 5.2 (a) Schematic diagram of the laser ablation for silicon surface texturing and (b) a SEM image of the resulting c-Si surface. .............................................. 82 Figure 5.3 Schematic of silicon nanowires array with metallic nanoparticles' decoration. ............................................................................................................. 83 Figure 5.4 SEM images of (a) Ag, (b) Au, (c)Ag/Au and (d) Cu/Ag/Au metallic nanoparticles' decoration of flat silicon surfaces. ................................................. 84 xi List of figures Figure 5.5 SEM images of metallic nanoparticles' decoration of the KOH etched silicon surface. ...................................................................................................... 85 Figure 5.6 SEM images of the laser-textured silicon surfaces being decorated with (a) Ag/Au, and (b) Cu/Ag/Au alloy nanoparticles ................................................ 86 Figure 5.7 SEM images of metallic nanoparticles' decoration of the silicon nanowires array at heights of (a) 500 nm, (b) 3 µm, (c) 12 µm and (d) 40 µm. ... 88 Figure 5.8 Measured reflection spectra of flat silicon surfaces with and without the metallic nanoparticles' decoration. .................................................................. 89 Figure 5.9 Measured reflection spectra of the KOH etched silicon surface with and without metallic nanoparticles' decoration. .................................................... 92 Figure 5.10 Measured reflection spectra of laser textured silicon surfaces with and without metallic nanoparticles' decoration............................................................ 93 Figure 5.11 (a) SEM image and (b) Measured reflection spectra of silicon nanowires arrays with and without metallic nanoparticles' decoration................. 95 Figure 5.12 Measured reflection spectra of 320 µm-thick laser-textured Si front surfaces without and with the backside surface texturing. .................................... 98 Figure 5.13 Measured reflection spectra of 320, 530, 890 µm-thick front side laser-textured Si sample with the backside surface texturing. .............................. 99 xii List of symbols LIST OF SYMBOLS c-Si Crystalline silicon PV Photovoltaic ARC Anti-reflection Coating RI Refractive Index NPs Nanoparticles EM Electromagnetic FCA Free Carrier Absorption SPR Surface Plasmon Resonance SPPs Surface Plasmon polaritons TIR Total Internal Reflection UV Ultraviolet IR Infrared NIR Near Infrared °C Degree Celcius VLS Vapor-Liquid-Solid CE Catalytic Etching xiii List of symbols MLA Micro-lens Array ROC Radius of Curvature LIL Laser Interference Lithography D Grating dimension P Periodicity NA Avogadro’s constant n Refractive index λ Wavelength k Boltzmann constant θ Two light waves intersect angle h Arrays thickness OM Optical Microscopy SEM Scanning Electron Microscopy RCWA Rigorous coupled-wave analysis xiv Chapter 1 Introduction CHAPTER 1 INTRODUCTION 1.1 Background Silicon surfaces covered by a layer of micro- or nano-structures, which effectively suppresses reflection, while simultaneously enhance the scattering and absorption of light, have attracted great interest for their fundamental properties and potentially practical applications [1-4]. Ever-increasing demand for high efficiency of various optical and opto-electronic devices has driven the design and fabrication to achieve excellent anti-reflection performance [1-4]. Among the various opto-electronic devices, solar cell has attracted much attention. Solar electricity, as a source of clean and renewable energy free from contaminations and carbon emissions, is regarded as one of the best solutions to replace fossil based electricity for future electricity supply [5, 6]. The direct conversion from solar energy to electricity can be realized by solar cells based on the photovoltaic (PV) effect [7]. When light, intrinsically electromagnetic (EM) wave, impinges on a different media, it is partially reflected due to the refractive index (RI) mismatching. In this case, high reflection at the interfaces affects the performance of the devices [8-11]. Therefore, the surface anti-reflection becomes an important factor to enhance its cell efficiency [12-14]. In order to minimize unwanted reflection and improve the light absorption efficiency, different types of anti1 Chapter 1 Introduction reflection surfaces have been widely studied for solar cells, like anti-reflection thin film deposition and surface texturing. Among all of these, nano-structures have received steadily growing research interest due to their unique optical properties and potential applications superior to their bulk counterparts [15-17]. Recent advances in surface micro/nano-fabrication and thin film deposition technologies provide versatile approaches to decorate silicon surfaces with engineered structures to reduce optical reflection, especially for silicon solar cells with an absorber layer of a few micrometers. Following Feynman’s challenge that “there is plenty of room at the bottom” [18], the capability in sculpting silicon with extraordinary precision and efficiency is very much needed for the development of nanotechnology. Extensive effort has been devoted by various research groups in the quest for greater structural control at the nanometer level [19] to precisely generate such miniscule structures. The resulting nano-structures show complex and interesting optical properties, which lead to a large number of opportunities, including but not limited to the potential applications in the areas of optical and opto-electrical devices. 1.2 Motivation For monocrystalline silicon solar cells, the most commonly adopted light trapping structures are pyramidal textures [20, 21], which have feature sizes of a few micrometers (2~10 µm). However, with reducing the thickness of silicon solar cells to no thicker than a few micrometers, they are no longer favored as absorber 2 Chapter 1 Introduction layers. Meanwhile, the crystalline silicon (c-Si) solar cells exhibit a comparably weaker absorption at near-bandgap spectrum due to the indirect bandgap of silicon, which results in a narrow absorption spectrum. To bypass these limitations, nano-scale textured silicon surface provides the better solution for omnidirectional and broadband anti-reflection [2, 22-28]. As photon management schemes for c-Si solar cells with thin absorber layers, such silicon nano-structures usually possess unique photon management properties to compensate for light absorption loss when arranged into random or regular arrays. With the fabrication of surface nano-structure arrays on silicon substrates, high optical absorption is indicated because of the strong light trapping by multiple scattering of the incident light among silicon nano-structures and the optical antenna effect [29-32]. Therefore, the surface anti-reflection properties can be further improved by the effective graded refractive index (RI) from subwavelength structures. The effective RI depends on the volume fraction of silicon and air to compensate the RI mismatching at the interface [33, 34]. This causes low reflectance and eliminates antireflective coating step required in the manufacturing process. With further adopting the metallic nanoparticles together with the nano-structures, a broadband reflection spectrum can be promised. Hence, the fabrication of c-Si solar cells decorated with three-dimensional (3D) nanostructures, which vary in features, has attracted a great deal of interest among researchers as it renders the design of high-efficiency solar cells with possibly reduced material cost. 3 Chapter 1 Introduction 1.3 Research objectives The aim of this study was to explore the techniques for the fabrication of precisely located and well-arranged 3D nano-structures arrays on silicon using micro-lens array (MLA) and laser interference lithography (LIL). To further improve the antireflection performance and light trapping efficiency of silicon based solar cells. The focus of this research can be divided into several parts. Firstly, this study focuses on the large-area synthesis of silicon nanowire arrays with tunable size, length and period. This approach makes use of interference lithography, anisotropic etching of silicon, electron-beam (E-beam) evaporation of Ag and Au layer, lift-off, and catalyst assisted etching. Secondly, a study is carried out to investigate the optical performance of the silicon nano-structured surfaces when various surface geometries were applied. The methods of MLA, LIL and multiple etching are adopted to fabricate the nanorings array and “mushroom”-shape silicon nanowires with varying feature sizes and periods. Finally, in order to reduce the reflection in a broadband region, metallic nanoparticles are deposited to the aforementioned nano-structures. The tunability in the size and distribution of the synthesized metallic nanoparticles are examined by varying the deposited film thickness and annealing temperature. Meanwhile, a back surface texturing is applied to further enhance the reflection reduction at a broadband range. 4 Chapter 1 Introduction 1.4 Organization of thesis This thesis is divided into six chapters and their contents are listed as follows: Chapter One gives an introduction on the anti-reflection performance of optical and opto-electrical devices, especially solar cells. An introduction of the c-Si surface micro/nano-structures fabrication is indicated. The motivation, objective and contribution of this study are also addressed. Chapter Two describes the fundamental physics of antireflection for silicon based solar cell. The optical properties of silicon solar cell are introduced. The current antireflection and light trapping techniques are discussed with their advantages and limitations. A theoretical introduction of light scattering and absorption affected by metallic nanoparticles deposited on the substrate are also included. Chapter Three describes the methods and techniques of the fabrication process. A detailed procedure of the fabrication of silicon micro/nano-structures arrays by laser processing is presented. Chapter Four investigated the fabricated silicon surface structures for their antireflection performance. The reflection in the silicon surface nano-structures arrays are shown according to different designs of their features in both experimental measurement and numerical simulation. Chapter Five investigates the anti-reflection enhancement of the silicon micro/nano-structures by two means, which are metallic nanoparticles deposition and back surface texturing. Their anti-reflection performance is discussed. 5 Chapter 1 Introduction Chapter Six provides the conclusions of this study as well as recommendation for future work. 6 Chapter 2 Background and literature review CHAPTER 2 BACKGROUND AND LITERATURE REVIEW 2.1 Silicon solar cells 2.1.1 Introduction Silicon wafer solar cells currently dominate the photovoltaic market with a market share of ~ 90%. The first silicon wafer solar cell with a pn junction was fabricated in the 1950s at Bell Labs by Chapin et al [35]. This solar cell only had an energy conversion efficiency of 6% but as can be seen in Figure 2.1 the efficiency of the c-Si wafer solar cell has been improved significantly in recent years up to 25.6% [36]. Figure 2.1 Evolution of silicon solar cell efficiency [36] 7 Chapter 2 Background and literature review Optimizing the solar cell efficiency is all about minimization of losses. Therefore, the boost of silicon solar cells efficiency comes with its priority in our study. The dominant losses of a silicon wafer solar cell are optical, resistive, and recombination losses. In this thesis we will only focus on a reduction of optical losses particularly for ultrathin c-Si solar cells. 2.1.2 Optical properties of silicon When light impinges on the silicon surface, it is partially reflected due to the optical contrast between c-Si and air. The reflection coefficient 𝑅𝑆𝑖 can be calculated by the well know Fresnel equations. The transmitted light penetrates into the material, where it is attenuated due to absorption. The rate of absorption is determined by the law of Lambert-Beer, 𝐼(𝑥 ) = (1 − 𝑅𝑆𝑖 )𝑒 (−𝛼𝑒𝑓𝑓 𝑥) 𝐼0 (2.1) which characterizes the intensity of a light beam that has traveled a distance 𝑥 inside a material with effective absorption coefficient 𝛼𝑒𝑓𝑓 , relative to an incident intensity 𝐼0 . The absorbed photons either lose their energy by generating electron/hole pairs at a rate 𝐺 = 1⁄𝑡 (optical generation), where 𝑡𝑒 is the 𝑒 excitation time constant, or by exciting free carriers (free carrier absorption, FCA). The excited carriers eventually thermalize and transfer their energy as heat in the lattice by carrier/lattice collisions. The optically generated electron/hole pairs eventually recombine radiatively, or likewise produce heat by non-radiative 8 Chapter 2 Background and literature review recombination, unless they are extracted out of the material as e.g. happens in a solar cell. The time constant for recombination is denoted by the carrier lifetime 𝜏. The most important quantities and dependencies of the energy transfer of light to silicon will be described as following.  Absorption by optical generation of charge carriers In opto-electric semiconductors, the generation of electron/hole pairs occurs for incident photons with energies ℎ𝜈 > 𝐸𝑔 . The generation rate is 𝐺 = 𝐼𝜎𝑜𝑝𝑡 ⁄ , ℎ𝜈 with 𝐼 being the absorbed intensity, 𝜎𝑜𝑝𝑡 the optical absorption cross section and ℎ𝜈 the photon energy. For silicon, the photon energies required for optical generation are ℎ𝜈 > 𝐸𝑔 = 1.12 eV (corresponding to 𝜆 = 1107 nm). However, silicon is an indirect band gap semiconductor, as the energy maximum of the valence band and the energy minimum of the conduction band are located at different values of crystal momentum [37]. Therefore, the absorption of a photon with an energy below the direct bandgap of c-Si requires an interaction with the crystal lattice (phonon absorption or emission), which leads to a strong dependence of the band-to-band absorption coefficient 𝛼0 on 𝜆. Only for photon energies ℎ𝜈 > 3.4 eV ( 𝜆 = 365 nm), corresponding to the direct band gap of silicon, the absorption coefficient saturates around 𝛼0 ≈ 106 cm−1. Figure 2.2 depicts 𝛼0 as well as the corresponding penetration depth 𝐿𝛼 in the range 250 nm < 𝜆 < 1300 nm [38]. 9 Chapter 2 Background and literature review Figure 2.2 In the wavelength regime 300 nm < λ < 1200 nm, which is relevant to silicon solar cell operation, the absorption coefficient 𝛼0 and correspondingly the absorption length 𝐿 𝛼 of c-Si strongly depend on wavelength. [39]  Absorption by free charge carriers The absorption coefficient 𝛼0 can be significantly increased by the presence of a large number of free charge carriers 𝑁𝑓𝑐𝑐 due to FCA. In such a case, an effective absorption coefficient 𝛼𝑒𝑓𝑓 = 𝛼0 + 𝑁𝑓𝑐𝑐 𝜎𝐹𝐶 holds, with 𝜎𝐹𝐶 as the FCA cross section. As 𝜎𝐹𝐶 increases approximately with 𝜆2 , FCA predominantly plays a role for infrared light [40] and is therefore relatively less important in normal solar cell operation. Relevant data is also found e.g. in Refs. [41] or [42]. 10 Chapter 2 Background and literature review As mentioned above, free carriers are either created optically or, alternatively, by doping, due to the dependence of the intrinsic carrier density 𝑛𝑖 on the temperature according to 𝑛𝑖 (𝑇) = √𝑁𝐶 𝑁𝑉 𝑒 (−𝐸𝑔 ⁄2𝑘𝑇 ) (2.2) with 𝑁𝐶 and 𝑁𝑉 as the effective densities of states for conduction and valence bands, respectively. 2.1.3 Optical loss When producing high efficiency solar cells, optical loss, which lowers the shortcircuit current, becomes one of the most significant restriction of improving the power from a solar cell. Figure 2.3 schematically illustrates the main sources of optical losses. It consists of light which could have generated an electron-hole pair, but on the contrary, is reflected from the front surface or not absorbed inside the solar cell, such as parasitic absorption losses. All these optical loss processes should be minimized in order to optimize the performance of the solar cell. 11 Chapter 2 Background and literature review Figure 2.3 Schematic illustration of optical loss processes in a solar cell [43]. However, in realistic manufacturing of solar cell, optical loss is yet to be eliminated. Therefore, in order to achieve more promising performance of the cells, a number of ways can be applied to reduce the optical loss:  Top contact coverage of the cell surface can be minimized for reducing light reflection at the surface contacts. However, this potentially increases the resistive losses of the solar cell by an increase in series resistance.  Anti-reflection coatings (ARC) can be used on the top surface of the cell. However, the ARC film is limited at one specific wavelength due to its fixed RI.  By surface texturing, the reflection of the incoming light can be significantly reduced. 12 Chapter 2 Background and literature review  The solar cell can be made thicker to increase absorption. The optical path length in the solar cell may be increased by a combination of surface texturing at the front and rear surface. The reflection of a polished silicon surface in air is over 30% due to its high refractive index. The reflectivity R between two materials of different refractive indices for normal incidence is determined by: 𝑅=( 𝑛0 − 𝑛𝑆𝑖 2 ) 𝑛0 + 𝑛𝑆𝑖 (2.3) where 𝑛0 is the refractive index of the surroundings and 𝑛𝑆𝑖 the complex refractive index of silicon [43]. For an unencapsulated cell, 𝑛0 = 1. For an encapsulated cell, 𝑛0 = 1.5 (RI of glass). 2.1.4 Surface texturing For optical and photovoltaic applications, surface texturing, either in combination with an ARC layer or by itself, is commonly applied to reduce surface reflection and enhance the light travelling path as well. The textured surface of a solar cell, by means of “roughening”, reduces reflection by i ncreasing the chance that reflected light has another interaction with the sample, instead of being lost to the surrounding [44]. Figure 2.4 shows this principle schematically for a standard pyramid textured surface where most of the light undergoes. 13 Chapter 2 Background and literature review Figure 2.4 Comparison of light travelling path on flat and textured silicon surfaces. Researchers have demonstrated several processing methods to modify the surface morphology of silicon surfaces [1, 8, 10, 25, 45, 46]. The etching methods, including chemical, electrochemical and dry etching, have been widely employed [47, 48] as shown in Figure 2.5. Dynamic etching of porous silicon surfaces at the thickness of 100 nm was demonstrated by Striemer et al. to achieve an average reflection of 3.7% across the terrestrial solar spectrum [48]. Laser ablation also provides another dry processing to fabricate Si surfaces for anti-reflection [23-25, 27, 28]. Black Si surfaces fabricated by short pulse lasers were studied by Mazur et al. [25] Conical shape surface structures can be created by the laser processing, resulting in a reflection below 5% in the visible range of the spectrum. 14 Chapter 2 Background and literature review Figure 2.5 Silicon surface structures fabricated by (a) KOH etching, (b) catalyst-assisted chemical etching, (c) plasma etching and (d) femtosecond laser induced texturing [25] [48]. 2.1.5 Light trapping The need to absorb all the light is not the only parameter that needs to be considered when deciding your solar cell device thickness. Also the bulk minority carrier diffusion length should be taken into account. When the bulk minority carrier diffusion length is much shorter than the thickness of the solar cell increasing the thickness of the solar cell will not increase the short circuit current density. In addition, a thinner solar cell may have a higher voltage by reducing the voltage losses due to the recombination. Consequently, an optimized solar cell structure will typically have effective "light trapping" in which the optical path 15 Chapter 2 Background and literature review length is several times of the actual device thickness. The optical path length of a device, which is usually defined in terms of device thickness, refers to the total distance a photon could travel within the structure before it exits the device at the front or rear surface. A solar cell with no light trapping features may have an optical path length that is only slight higher than the device thickness, while on the other hand, one with good light trapping may have an optical thickness of more than 50 times of device thickness. Effective light trapping is usually achieved by varying the angle at which light travels in the solar cell. Applying an angled surface is one way. A textured surface will not only reduce reflection as previously described but also couple light obliquely into the silicon, thus giving a longer optical path length than the physical device thickness. The angle at which light is refracted into the semiconductor material is as follows, according to Snell's Law, 𝑛1 sin 𝜃1 = 𝑛2 sin𝜃2 (2.4) where 𝜃1 and 𝜃2 are the angles for the light incident on the interface relative to the normal plane of the interface within the mediums with refractive indices 𝑛1 and 𝑛2 , respectively. In a textured single crystalline solar cell with upward pyramids, the presence of crystallographic planes make the angle 𝜃1 equal to 36 degree as shown in Figure 2.6. The light travelling path inside the device is thus increased by the texture. 16 Chapter 2 Background and literature review Figure 2.6 Schematic diagram illustrating reflection and transmission of light for a pyramidal textured silicon solar cell [43]. The amount of light reflected at an interface is calculated from the Fresnel reflection formula. For light polarized in parallel with the surface, the amount of reflected light is: tan2 (𝜃1 − 𝜃2 ) 𝑅∥ = tan2 (𝜃1 + 𝜃2 ) (2.5) For light polarised perpendicular to the surface, the amount reflected is: 𝑅⊥ = sin2 (𝜃1 − 𝜃2 ) sin2 (𝜃1 + 𝜃2 ) (2.6) For unpolarised light, the reflected amount is the average of the two: 𝑅𝑇 = 𝑅∥ + 𝑅⊥ 2 17 (2.7) Chapter 2 Background and literature review If light passes from a high refractive index medium to a low refractive index medium, there is the possibility of total internal reflection (TIR). The angle at which occurs is the critical angle and is found by setting 𝜃2 to 0. Using the TIR, light can be trapped inside the cell with multiple passes through the cell, thus allowing a high optical path length at the reduced thickness of the device. 2.2 Light scattering by nanoparticles (NPs) By the fabrication of the sub-wavelength structures, higher light absorption is achieved in visible and NIR range, which is significant for solar cells [47, 49, 50]. Sub-wavelength structures, e.g. hybrid moth-eye structures [34] and ZnO coated Si nano-cone [51], have been shown to exhibit ultra-low reflection by numerical simulations. Another point worth mentioning for anti-reflection performance of Si solar cell is metallic nanoparticles (NPs) induced surface plasmon resonance (SPR). With EM wave excitation, metallic NPs can be used in the anti-reflection surfaces to excite localized SPR to increase optical absorption by light trapping [2-4, 8, 22, 52]. The localized EM field around metallic NPs can be significantly enhanced at the resonance [53]. The light scattering properties become dominant for NPs at a large size. Both effects contribute to the anti-reflection performance. Generally, Au and Ag NPs are mostly used for their SPR excitations at visible range. To reduce the material cost for anti-reflection surface fabrication, other metallic NPs, such as Al and Cu, were also investigated. They are more suitable for the applications in UV and IR ranges at their SPR resonances [4, 52]. To 18 Chapter 2 Background and literature review reduce optical reflection in a wide wavelength range, alloyed NPs, like Ag-Au NPs, were also applied [8, 22]. Nano-structured metallic particles show complex and interesting properties, which contribute to anti-reflection performance for photovoltaic applications by adopting surface plasmon resonance (SPR).With electromagnetic (EM) wave excitation, the deposited metallic NPs excite localized SPR, thereby enhance optical absorption by light trapping. 2.2.1 Properties of surface plasmons Surface plasmon polaritons (SPPs), often referred to as surface plasmons (SPs), are resonant electromagnetic field which are strongly confined to metallic surfaces that enable them to sustain coherent electron oscillations. These electromagnetic surface waves arise via the coupling of the electromagnetic fields to the electron plasma oscillations of the conductor [54, 55]. Localized surface plasmons (LSPs), a type of SPs, are charged density oscillations confined to metallic nanoparticles (sometimes referred to as metal clusters) and metallic nano-structures [54]. LSPs are non-propagating excitations of the conduction electrons of the metallic nano-structures coupled to the electromagnetic field. We will see that these modes arise naturally from the scattering problem of a small and sub-wavelength conductive nanoparticle in an oscillating electromagnetic field. The curved surface of the particle exerts an effective restoring force on the driven electrons, so that a resonance can arise, leading to a field amplification both inside and in the near-field zone outside the 19 Chapter 2 Background and literature review particle. This resonance is called the localized surface plasmon or short localized plasmon resonance [56]. Another consequence of the curved surface is that plasmon resonances can be excited by direct light illumination of appropriate frequency irrespective of the wave vector of the exciting light. In contrast, an SPP mode can only be excited when both the frequency and wave vector of the exciting light match the frequency and wave vector of the SPP [57, 58]. Figure 2.7 Schematic illustration of plasmon collective oscillation of a spherical gold colloid, showing the displacement of the conduction electron charge cloud relative to the nuclei [54]. A typical example is shown in Figure 2.7, where the conduction electrons of a spherical gold colloid oscillate coherently in response to the electric field of the incident light [54]. Excitation of LSPs by an electric field (light) at an incident wavelength, where resonance occurs, results in strong light scattering, in the appearance of intense SP absorption bands, and an enhancement of the local electromagnetic field. The frequency and intensity of the SP absorption bands are characteristic of the type of materials (typically, gold, silver, or platinum), and are highly sensitive to the size, its distribution, and shape of the nano-structures, as well as to its surrounding environment [59]. 20 Chapter 2 Background and literature review 2.2.2 Surface plasmon excitation Figure 2.8 SPP excitation configurations: (a) Otto geometry (b) Kretschmann geometry, (c) diffraction on a grating, and (d) diffraction on surface features [60]. As seen from the SPP dispersion relations, the SPP wavevector is larger than the photon wavevector in the adjacent dielectric medium. Thus, light illumination a smooth surface cannot be directly coupled to surface polaritons. Special experimental arrangements have been designed to provide the conservation of the wave vector. The photon and SPP wavevector can be matched using either photon tunneling in the total internal reflection geometry (e.g. by a prism) or diffraction effects (e.g. via a grating or on surface defects) as shown in Figure 2.8. 21 Chapter 2 Background and literature review There are three main techniques by which the missing momentum can be provided. The first makes use of prism coupling to enhance the momentum of the incident light [61, 62]. The second makes use of a periodic corrugation in the surface of the metal [63]. The third involves scattering from a topological defect on the surface, such as a sub-wavelength protrusion or hole, which provides a convenient way to generate SPs locally [59, 64]. In the prism coupling technique, incident light passes thro ugh an optically dense medium. In this case, a prism, to increase its wave vector momentum. Under suitable wavelength and angles, total internal reflection (TIR) can be achieved where the incident beam reflects off at an interface between the optically dense glass and less dense dielectric [Otto configuration as shown Figure 2.8 (a)] or metallic layer [Kretchmann configuration as shown in Figure 2.8 (b)]. Although no light comes out of the prism in TIR, the electrical field of the photons extends about a quarter of a wavelength beyond the reflecting surface. The coupling gap provides the evanescent tunnel barrier across which the radiation couples, allowing the surface plasmons to be excited at the dielectric metal interface [60]. The second method to overcome momentum mismatch is periodic corrugation, such as grating coupling, as shown in Figure 2.8 (c). This involves incident light being directed towards a grating with spatial periodicity similar to the incident irradiation. The incident beam is either diffracted away from the grating or produces an evanescent mode that travels along the interface. This evanescent mode has wave vectors parallel to the interface with reciprocal lattice vectors 22 Chapter 2 Background and literature review added or subtracted from it. Numerically, these vectors are represented by 2𝑛𝜋 𝐷 , where n is an integer and D gratings dimensions [65]. On a rough surface, the SPP excitation conditions can be achieved without any special arrangements. Diffraction of light on surface features can provide coupling to the SPP modes on both the air-metal and glass-metal interfaces [Figure 2.8 (d)]. This is possible since in the near field region, all wave vectors of diffractive components of light are present [65-67]. Thus, SPPs can be excited in conventionally illuminated rough surfaces. The problem with random roughness is the irregular SPP excitation conditions, resulting in the low efficiency of lightto-SPP coupling. This is a non-resonant excitation and there is a strong presence of the reflected excitation light close to the surface. Depending on the metal film thickness and depth of the defect, SPPs can be excited on both interfaces of the film. Such non-resonant SPP excitation processes result in a complex field distribution over the surface due to interference of SPPs excited on different interfaces of the film and the illumination light [67]. 2.3 Numerical simulation In this study, the Rigorous Coupled Wave Analysis (RCWA) [68, 69] method was applied to investigate the optical properties of the silicon nano-structures. This numerical simulation provides an insight of reflection and absorption conditions in the nano-structure as well as its electric-field distribution. 23 Chapter 2 Background and literature review RCWA is a rigorous method to solve Maxwell’s equations by performing a Fourier transform of both the electromagnetic field and the structure. In general terms, RCWA solves the diffraction problem by a grating defined by a stack of layers which have all identical periods in the x- and y-directions. When defining the structures, a single period is approximated as a stack of uniform layers in the z-direction and repeated infinitely in x- and y-directions to form the whole structure, which describes a 3D spatial variation of the complex refractive index. Reflectance R, transmittance T and absorptance A of the structures can then be retrieved. The calculation returns the diffraction efficiencies of the transmitted and reflected orders for an incident plane wave from the top and for an incident plane wave from the bottom, both for TM and TE polarizations, by the grating of the following incident plane wave: i. If incident from the top layer, 𝑖𝑛𝑐 exp [𝑖 (𝑘 𝑖𝑛𝑐 𝑥 + 𝑘 𝑖𝑛𝑐 𝑦 + 𝑘 𝑖𝑛𝑐 (𝑧 − ℎ) )] 𝐸𝑡𝑜𝑝 𝑥 𝑦 𝑧 𝑡𝑜𝑝 (2.8) 𝑖𝑛𝑐 𝐻𝑡𝑜𝑝 exp [𝑖 (𝑘𝑥𝑖𝑛𝑐 𝑥 + 𝑘𝑦𝑖𝑛𝑐 𝑦 + 𝑘𝑧𝑖𝑛𝑐 𝑡𝑜𝑝 (𝑧 − ℎ) )] (2.9) 2 2 2 𝑖𝑛𝑐 − 𝑘 𝑖𝑛𝑐 ; where 𝑘𝑧𝑖𝑛𝑐 𝑦 𝑡𝑜𝑝 = −√(2𝜋 ∗ 𝑛 𝑡𝑜𝑝 ⁄𝜆 ) − 𝑘𝑥 ii. If incident from the bottom layer, 𝑖𝑛𝑐 𝐸𝑏𝑜𝑡𝑡𝑜𝑚 exp[𝑖(𝑘𝑥𝑖𝑛𝑐 𝑥 + 𝑘𝑦𝑖𝑛𝑐 𝑦 + 𝑘𝑧𝑖𝑛𝑐 𝑏𝑜𝑡𝑡𝑜𝑚 𝑧)] (2.10) 𝑖𝑛𝑐 𝐻𝑏𝑜𝑡𝑡𝑜𝑚 exp[𝑖(𝑘𝑥𝑖𝑛𝑐 𝑥 + 𝑘𝑦𝑖𝑛𝑐 𝑦 + 𝑘𝑧𝑖𝑛𝑐 𝑏𝑜𝑡𝑡𝑜𝑚 𝑧)] (2.11) 2 2 𝑖𝑛𝑐 − 𝑘 𝑖𝑛𝑐 . 2 where 𝑘𝑧𝑖𝑛𝑐 𝑦 𝑏𝑜𝑡𝑡𝑜𝑚 = −√(2𝜋 ∗ 𝑛 𝑏𝑜𝑡𝑡𝑜𝑚 ⁄𝜆 ) − 𝑘𝑥 24 Chapter 2 Background and literature review The z-component of the Poynting vector of the incident plane wave is applied with ±0.5 in both condition for simulation. The Rayleigh-expansion of the diffracted electric fields is shown in the following figure. Figure 2.9 Rayleigh expansion for the diffracted fields [70]. 𝑑𝑖𝑓 𝑚,𝑛 𝐸𝑡𝑜𝑝 = ∑ 𝐸𝑡𝑜𝑝 exp [𝑖 ((𝑘𝑥𝑖𝑛𝑐 + 𝑚𝐾𝑥 )𝑥 + (𝑘𝑦𝑖𝑛𝑐 + 𝑛𝐾𝑦 )𝑦 + 𝑘𝑧𝑖𝑛𝑐 𝑡𝑜𝑝 (𝑧 − ℎ))] (2.12) 𝑑𝑖𝑓 𝑚,𝑛 𝐻𝑡𝑜𝑝 = ∑ 𝐻𝑡𝑜𝑝 exp [𝑖 ((𝑘𝑥𝑖𝑛𝑐 + 𝑚𝐾𝑥 )𝑥 + (𝑘𝑦𝑖𝑛𝑐 + 𝑛𝐾𝑦 )𝑦 + 𝑘𝑧𝑖𝑛𝑐 𝑡𝑜𝑝 (𝑧 − ℎ) )] (2.13) 25 Chapter 2 Background and literature review 2 𝑖𝑛𝑐 𝑖𝑛𝑐 2 2 , √ ⁄ where 𝑘𝑧𝑚,𝑛 𝑡𝑜𝑝 = − (2𝜋 ∗ 𝑛 𝑡𝑜𝑝 𝜆 ) − (𝑘𝑥 + 𝑚𝐾𝑥 ) − (𝑘𝑦 + 𝑛𝐾𝑦 ) 𝐾𝑥 = (2𝜋) /𝑝𝑒𝑟𝑖𝑜𝑑_𝑥 and 𝐾𝑦 = (2𝜋) /𝑝𝑒𝑟𝑖𝑜𝑑_𝑦, and they are the unit vectors along x and y axis. The (m,n)th order has a parallel momentum equal to (𝑘𝑥𝑖𝑛𝑐 + 𝑚𝐾𝑥 ) → +(𝑘𝑦𝑖𝑛𝑐 + 𝑛𝐾𝑦 ) →. We define two points Otop= (0,0,h) at the top of the grating, 𝑥 𝑦 and Obottom= (0,0,0) at the bottom of the grating [70]. 26 Chapter 3 Experimental setup and fabrication details CHAPTER 3 EXPERIMENTAL SETUP AND FABRICATION DETAILS 3.1 Introduction In this chapter, the fabrication methods of laser processed silicon nano-structures, including laser micro-lens array (MLA) and laser interference lithography, are discussed. Meanwhile, detail experimental setup and procedures employed for the fabrication and characterization are presented. The fabrication processes include spin-coating of photoresist, lithography, electron beam evaporation, lift-off and catalytic etching. The characterization processes were carried out by microscope, scanning electron microscope (SEM) and UV-Vis spectroscopy. 3.1.1 Laser micro-lens array (MLA) lithography Laser micro-lens array (MLA) lithography is used to define the patterns on the photoresist layer [71, 72]. MLA is a parallel exposure technique which can realize more than 10,000 patterns simultaneously in a large area with a very short exposure time. It is carried out by combining a micro-lens array and a UV femtosecond laser. No mask is required as the patterns were realized by 27 Chapter 3 Experimental setup and fabrication details controlling the stage movement and shutter switching, which could be used to fabricate arbitrary patterns flexibly. Figure 3.1 shows the experimental setup of the laser micro-lens array lithography. The laser system used for the exposure was a Ti:Sapphire second harmonic generation femtosecond laser (Spectra Physics Tsunami, Mode 3960, λ = 400 nm, τ = 100 fs, repetition rate=82 MHz). Figure 3.1 Schematic of the experimental setup used for laser micro-lens array lithography. The laser beam emitted from the laser head and passed through an attenuator before it was directed to the reflective mirrors and irradiated on the sample through the MLA. The beam splitter/attenuator was used to reduce the laser 28 Chapter 3 Experimental setup and fabrication details energy going into the system. A mechanical shutter was used to control the exposure time. The beam expander was used to enlarge the laser beam size, making it cover the whole MLA with a uniform laser beam. The MLA is the key part of this lithography system. It is used to split the single incident laser beam into more than 10,000 tiny light beam arrays, which irradiate on the sample surface simultaneously. In the exposure process, the sample surface and the MLA must be kept exactly parallel, which was controlled by the tip and tilt anises of the stage. This is a parallel fabrication technique which can shorten the fabrication time significantly. The sample with photoresist coating was mounted on a 7-axis translation nanopositioning stage with the numerical computer control. Controlling the stage movement and the shutter switching by computer programming, more than 10,000 designed micro-patterns can be fabricated on photoresist simultaneously by laser exposure and photoresist develop. Three pieces of MLA were used in the laser MLA lithography, which have the periods of 30 µm, 75 µm and 100 µm. The MLA with a smaller radius of curvature (ROC) has a smaller focusing point, which can produce the smaller feature size of the structures. In this study, the MLA can fabricate the surface structures with the feature size of less than 800nm. The difference of these three pieces of MLA was the line width of the fabricated structures, which comes from the ROC and numerical aperture [73]. 3.1.2 Laser interference lithography (LIL) 29 Chapter 3 Experimental setup and fabrication details 3.1.2.1 Principle of LIL When two monochromatic waves are superposed, the resulting intensity is the sum of two individual intensities of these two waves. It is well known as the wave interference [74]. Practically, the interference of two coherent light waves generates sinusoidal varying standing wave patterns. LIL is a lithographic technique using a laser as the light source to record the periodic patterns onto a layer of light sensitive polymer materials, such as photoresist [75, 76]. It is a maskless and simple patterning method to fabricate periodic, quasi-periodic and spatially coherent structures over a large area [77-80]. Figure 3.2 shows a schematic illustration of the resulting fringes generated by the interference of two light beams that forms a standing wave. The resulting patterns are a series of gratings with a certain periodic length. The factors that affect the period of the structures are the light wavelength 𝜆 and the angle 𝜃 at which the two light waves intersect, as given by Eq. (3.1). 𝜆 Standing wave period 𝑃 = 2sin(𝜃) 30 (3.1) Chapter 3 Experimental setup and fabrication details Figure 3.2 Schematic illlustration of a standing wave generated by the interference of two coherent laser beams. 3.1.2.2 Lloyd’s mirror setup There are several different setups for laser interference lithography and each setup has its own advantages. Figure 3.3 shows the schematic drawing of the setup for laser interference lithography by Lloyd’s mirror configuration. A laser beam from a laser source is directed to a spatial filter by a set of mirrors. The spatial filter consists of an objective lens and a pinhole with its diameter approximately equal to or smaller than the focused laser beam size. The function of the spatial filter is to filter out the high frequency noise so that a uniform Gaussian beam profile can be obtained. Meanwhile, it also acts as a beam expander where the beam diameter after the pinhole increases thus giving uniform beam intensity. The expansion of 31 Chapter 3 Experimental setup and fabrication details the laser beam diameter by the spatial filter gives a closely approximated plane wave over the exposure area [76]. Figure 3.3 Schematic illlustration of a Lloyd's mirror setup for laser interference lithography of periodic structures on photoresist. In front of the spatial filter, there is a rotating stage with a mirror mounted perpendicularly to the samples holder. A part of the expended beam is reflected by the mirror onto the sample held at 90° to the mirror surface and interferes with the other portion of the beam that falls directly on the samples to create a gratinglike standing wave, which is recorded on the photoresist layer of the sample. Due to the fact that the mirror is at a right angle with respect to the sample surface, light beams always reflect at the same angles as the original incident beam. Therefore, altering the angle of the incident beam by rotating the rotation stage varies the period of the pattern as mentioned and thus periodic structures with different dimensions can be created. The period of the fringes can be as low as a half of the light wavelength of the incident laser beam. Therefore, depending on the types of laser used, the structures of submicron dimensions can be produced. The use of LIL technique enables the size of the periodic structures created on the photoresist to be as small 32 Chapter 3 Experimental setup and fabrication details as half of the incident beam wavelength. The applications of LIL include the patterning of magnetic media materials and magnetic random access memory (MRAM) devices, the structuring of polymers and creating distributed structures for quantum dots. However, the utilization of the LIL technique for efficient surface antireflection performance for solar devices still requires intensive study. 3.1.3 Top-down fabrication of silicon nanowires Silicon nanowire arrays can be fabricated by a combination of top-down lithography and dry/wet etching. While conventional lithographic technique and reactive ion etching have been successfully employed to fabricate the ordered arrays of silicon nanowires [81-83] (see Figure 3.4), the extensive effort has also been devoted by various research groups on the wet etching of silicon nanowires. a b Figure 3.4 Scanning electron micrographs showing (a) the arrays of silicon nanowires prepared by using inductively coupled plasma etching [81]; and (b) the arrays of silicon nanopillars fabricated by optical lithography and reactive ion etching [82]. 33 Chapter 3 Experimental setup and fabrication details In recent years, a simple catalytic etching technique that makes use of metal (Au, Ag or Pt) particles to prepare large-area aligned silicon nanowire arrays on singlecrystal silicon wafers has been reported [84-88]. In this technique, metal particles were deposited on the silicon wafer, and then the silicon substrates covered with metal clusters were immersed into the etching solution, where the silicon nanowire arrays were formed via a wet chemical etching. This method utilizes the catalytic actions of metals for the dissolution of silicon in HF-based solutions. Since this method does not require electrochemical equipment with an external electrical supply, it is well-suited for the mass production of silicon nanostructures. It was found that cylindrical holes with diameters of tens of nanometers were formed in silicon by wet chemical etching in an aqueous solution containing HF and hydrogen peroxide (H2O2) when silver nanoparticles were loaded on the silicon surface before the etching process [89]. The pore formation was found to be initiated by the reduction of H2O2, as represented by the equation below: 𝐻2 𝑂2 + 2𝐻 + + 2𝑒 − → 2𝐻2 𝑂 (3.2) Due to the low catalytic ability of the silicon surface for the reaction, the etching of silicon is slow in a HF–H2O 2 solution. However, the etch rate of silicon becomes much higher when the reaction is catalyzed by Au, Pt or Ag particles. Holes are generated as the oxidants (H2O2) are reduced at the metal particles. As a result of the removal of electrons from Ag particles, the potential of the silver particles shifts toward a positive value to a level enabling injection of positive 34 Chapter 3 Experimental setup and fabrication details holes into silicon and oxidative dissolution of silicon in fluoride-containing solutions by 𝑆𝑖 + 6𝐹 − + 4ℎ+ → 𝑆𝑖𝐹62− (3.3) In this process, the holes are injected into silicon through the metal/silicon interface and the holes are attracted near the silver particles due to the image force induced by them. Hence, the reaction above takes place near the metal/silicon interface. However, when holes are injected, some of them escape from the image force. This leads to the generation of the nanoporous silicon layer at the silicon surface when samples are treated in solutions containing H2O2 at high concentrations, as shown in Figure 3.5 (b). This porous layer at the top surface layer consists of a microporous region and an underlying region containing pores of about 10 nm in size. Figure 3.5 Scanning electron micrographs of Ag–Si after treatment in an aqueous solution containing (a) 5.3 M HF and 0.18 M H2O2 for 1 min; (b) 5.3M HF and 1.8M H2O2 for 1 min. Inset shows an enlarged image at the top surface region [89]. 35 Chapter 3 Experimental setup and fabrication details It has been reported that the oxidative dissolution of silicon in HF solution, either caused by chemical oxidation or electrochemical oxidation, is accompanied by the formation of a nanoporous silicon layer on the surface [90]. The formation of this nanoporous silicon layer is enhanced under the condition in which a large number of positive holes are injected into silicon. This also leads to the strong luminescence signal detected from the porous silicon layer produced adjacent to the metal-coated silicon surfaces. 3.2 Fabrication details 3.2.1 Substrate selection and wafer cleaning In this experiment, p-type silicon wafers were used as substrates since it is the most widely used material for solar cells manufacturing. In addition, the silicon substrate is able to present a preferred crystal orientation, which provide clean and smooth cross section profile from edge cutting. The wafers were of orientation and had a resistivity of 5 - 9 Ω·cm. In order to eliminate the samples from possible contaminations, the wafers were cleaned by immersing cassettes of 4 - 6 wafers into RCA (Radio Corporation of America) solutions, and heating them at 80 - 90 °C for 15 min. The exact procedure will be outlined below. 3.2.1.1 RCA I cleaning 36 Chapter 3 Experimental setup and fabrication details The wafers were firstly cleaned using RCA I solution. This oxidizes organic films and complexes Group I and II metals as well as other metals, such as Au, Ag, Cu, Ni, Zn, Cd, Co and Cr.[91] The RCA I solution is a high pH solution consisting of hydrogen peroxide (H2O2), ammonium hydroxide (NH4OH) and de-ionized (DI) water in the proportion of 1:1:5 by volume. It was then heated to 80 - 90 °C before the wafers were immersed in the solution for 15 min. The wafers were then rinsed in DI water with nitrogen (N 2) bubbler for another 10 - 15 min. The RCA I solution slowly dissolves the thin native oxide layer on silicon and continuously grows a new oxide layer by re-oxidation. This combination of etching and reoxidation helps to dislodge particles from the wafer surface.[91] 3.2.1.2 RCA II cleaning RCA II is a low pH solution consisting of hydrochloric acid (HCl), H 2O2 and DI water in the proportion of 1:1:6 by volume. This solution removes alkali ions and cations (ionic and heavy metal atomic contaminants) like Fe 3+, Al3+, and Mg2+ which form insoluble hydroxides in basic solutions of RCA I.[91] It serves to remove the ionic and heavy metal contaminants on the wafer. The RCA II solution was then heated to 80 - 90°C before the wafers were immersed in the solution for 15 min. The wafers were then rinsed with DI water with nitrogen (N 2) bubbler for another 10 - 15 min. 3.2.1.3 5% Hydrofluoric Acid Dip 37 Chapter 3 Experimental setup and fabrication details The hydrogen peroxide in the RCA I and RCA II cleaning procedures caused the surfaces of the wafers to be coated with a layer of oxide of 1 ~ 2 nm due to its high oxidizing nature. Furthermore, it was well established that silicon exposed to oxygen or air ambient forms a thin native oxide layer on its surface even at room temperature. Such native oxides can grow up to a thickness of around 0.5 ~ 1 nm. To remove this layer of oxide prior to subsequent process, the wafers were immersed in a 5% hydrofluoric acid (HF) for around 60 sec. Then, the wafers were immersed in DI water with a nitrogen bubbler for 20 min to remove the remaining HF acid. The wafers were then blown dry using nitrogen gas from a nitrogen gun and ready for the next processing step. Wafers that are scratched or with defects after the entire wafer cleaning process were not used for the good of reproducibility and comparability. 3.2.2 Photoresist coating The resist used in this study is S1805 (positive resist) and ma-N1407 (negative resist). It was coated onto the substrate via a spin coater. Prior to the spinning process, a few droplets of photoresist were applied to the surface of the silicon until it was thick enough to cover the entire surface area of a 2 cm by 2 cm silicon substrate. 38 Chapter 3 Experimental setup and fabrication details Figure 3.6 Measurement of the film thickness using a step profiler. The spin coating was basically a two-step process. The first step consisted of a 5 sec spinning interval at 1000 rpm to ensure the deposited photoresist spreaded out uniformly over the entire surface of the sample. The second step consisted of a 45 sec spin coating at 4000 rpm, and this step determined the final thickness of the spin-coated photoresist. In this study, the resist thickness was calibrated by a step profiler (see Figure 3.6) to ensure the consistency in the thickness of the resist layer and a thickness of 300 nm was obtained. 39 Chapter 3 Experimental setup and fabrication details This was then followed by a soft-bake process. The hot plate’s temperature was set at 100°C and the duration of the soft bake is 1 min and 30 sec. The purpose of soft bake was to evaporate away excess solvents within the photoresist, as well as improve the adhesion of photoresist to the sample. 3.2.3 Exposure and develop 3.2.3.1 Concentric rings nano-structure arrays In this study, the MLA with the period of 30 μm was used to fabricate the concentric rings nano-structures arrays with line width smaller than 300 nm. The spin-coated silicon wafers are fixed onto the precisely controlled nano-stage. By moving the stage in nano scale, the photoresist is exposed focused laser beam in pre-design route (concentric rings are adopted in this research). Develop of photoresist ma-N1407 was done by immersing the sample into the ma-D533 developer, followed by rinsing with DI water and drying by nitrogen (N 2) gas. The developer dissolved the negative photoresist that was not exposed by the laser. 3.2.3.2 Silicon nanowire arrays The sample was exposed by the interference of two laser beams, which resulted in the generation of periodic grating structures on the photoresist. The exposure was carried out with the Llyod’s mirror setup with a helium cadmium (He-Cd) continuous wave (CW) laser (Kimmon, Japan) as the laser source. The laser 40 Chapter 3 Experimental setup and fabrication details wavelength λ was 325 nm with a long coherence length of 10 cm, which made it suitable for interference lithography purpose. After a single exposure, an array of periodic line structure was formed. The subsequent cross exposure of the photoresist by rotating the sample by 90 degrees enabled the forming of holes arrays on the silicon surface. The period of the structure is set by changing the angle of the rotating stage. In this experiment, the angle was set from 12 to 21 degrees with an increment of 3 degrees. The periods obtained were approximately ranging from 800 to 450 nm according to Eq. 3.1 (𝑃 = 𝜆 2 sin 𝜃 ) and gave the pillars with diameters of approximately as a half of the periods. The exposure time required to fully expose the photoresist mainly depended on the laser fluence (mJ/cm2) and develop time. Develop of the exposed photoresist S1805 was performed using the MF319 developer. The exposed sample is immersed into the developer for ~25 seconds, after which the sample is removed and cleaned with DI water. The final step involved the dry blowing with N2 gas to drive off any remaining solutions and clean the sample surface. [91] 3.2.4 Metallic thin film deposition Prior to the thin film deposition, particularly for sputtering or evaporation process, a post-develop bake is recommended. This can drive off excess solvent so that there is less out gassing during the film deposition. However, the bake should not be too long time or at a very high temperature, otherwise the resist will reflow 41 Chapter 3 Experimental setup and fabrication details slightly. In this experiment, the samples were baked at 100 °C for 1 min to dry out the liquid solvent that remained before metal deposition takes place. Figure 3.7 Schematic drawing of an electron beam evaporator. Metallic thin film deposition was carried out by an electron-beam evaporator. As shown in Figure 3.2, the deposition chamber is evacuated to a pressure of 10 -6 Torr. The material to be evaporated is in the form of ingots. E-beams can be generated by thermionic emission, field electron emission or the anodic arc method. The generated electron beam is accelerated to a high kinetic energy and focused towards the ingots. When the accelerating voltage is between 20 ~ 25 kV and the beam current is a few Amperes, 85% of the kinetic energy of the electrons is converted into thermal energy as the beam bombards the surfaces of the ingots. The surface temperature of the ingots increases, resulting in the formation of a 42 Chapter 3 Experimental setup and fabrication details liquid melt. Although some of incident electron energy is lost to excite X-rays and secondary electron emission, the material vapor evaporates from the melted ingot material in a vacuum.[92] During the metal deposition process, 2 nm of Cr thin film was firstly deposited to increase the adhesion between different thin film layers, i.e., between the silicon substrate and Au (or Ag) thin films. 30 nm of Au (or Ag) film was subsequently deposited on top of the Cr layer. 3.2.5 Lift-off The common method to produce metal or oxide nano-structures for semiconductors, namely lift-off, which is known as an additive process as opposed to the subtractive etching process. In the lift-off process, a sacrificial photoresist layer is printed using an inverse mask pattern. The metallic pattern is created by blanket coating the photoresist pattern with metal and washing away the sacrificial layer. Any material which was deposited on the sacrificial layer is removed, any material which was in direct contact with the substrate remains on the surface. In the etching process, a metallic pattern is fabricated by the first blanket coating the substrate with a metal layer, then patterning photoresist with the desired mask pattern and etching away the metal which is not covered by the photoresist. Wet chemical etching, however, results in isotropic behavior and undercutting of the photoresist. Dry etching is another method but usually 43 Chapter 3 Experimental setup and fabrication details requires reactive ion plasma tools or direct laser processing. Moreover, toxic gases, like Cl2, are needed for plasma etching and many defects are induced. Figure 3.8 outlines the basic steps involved in single layer photoresist lift-off in this experiment. The obvious advantage of a standard photoresist lift-off is its process simplicity, because it involves only one masking step. The main disadvantage is the sidewall effect. Arising from the fact that the metallic film is also deposited on the sidewall of the photoresist. This part of the metal film remains adhered to the substrate even after the resist is removed. This sidewall makes the lift-off step to be difficult, since it is harder for acetone to come into contact with the photoresist “behind” the sidewall. Depending on how robust the film and substrate are, sidewalls from the deposited film can be removed using a gentle swipe of a clean-room swab or a directed stream of acetone from a squeeze bottle. The substrate should be immersed in acetone until the whole film has been lifted off and there are no traces of film particulates – once the particles dry on the substrate, they are very difficult to be removed. 44 Chapter 3 Experimental setup and fabrication details Figure 3.8 Process flow for the single-layer lift-off process. In this experiment, after the patterning was made on the photoresist using laser MLA lithography and LIL, a layer of thin metal film was evaporated on the top of the patterned photoresist. Lift-off was performed by using acetone at room 45 Chapter 3 Experimental setup and fabrication details temperature with the assistance of ultrasonic agitation to transfer the patterns. A direct transfer of patterns to the metal film was obtained for negative photoresist; meanwhile, a negative image was transferred to the metal film for positive photoresist. 3.2.6 Chemical etching and 3D nano-structures fabrication Catalytic assisted etching is applied to selectively etch the silicon substrate covered by a patterned metal (Au or Ag) layer resulted from lift-off process. The etch rate of silicon becomes much higher when the reaction is catalyzed by the patterned Au or Ag layer in a HF–H2O2 solution (refers to chapter 3.1.3). The catalyst assisted etching provide the top-down etching process to achieve the 3D nano-rings and nanowires structures. The silicon in direct contact with the metal layer will be etched at a much faster rate compared to the silicon surface that is exposed directly to the etching solution [93], allowing the fabrication of silicon nano-structures with high aspect ratios as shown in Figure 3.9. 46 Chapter 3 Experimental setup and fabrication details Figure 3.9 Schematic illustration of catalyst assisted wet etching process. During catalytic etching, holes are generated as the oxidants, such as H 2O 2, are reduced at the metal layer. As a result of the removal of electrons from the metal, the potential of the metal shifts towards a positive value to a level enabling injection of holes into silicon and oxidative dissolution of silicon in the fluoridecontaining solution.[94] 47 Chapter 3 Experimental setup and fabrication details Figure 3.10 Schematic diagram depicting the experimental setup for catalyst assisted wet etching. Etching was carried out at a wet bench, with the experimental setup as shown in Figure 3.10. Several parameters have to be controlled precisely: (i) etching duration, (ii) concentration of HF, and (iii) concentration of H 2O2. The etching process was carried out in a chemical solution containing 4.6 Molar (M) of HF and 0.44 M of H 2O2 for 5 to 30 min. The sample was then rinsed for 10 min in DI water to remove the remaining HF and H 2O2. After the etching process, the sample was blown dry by using a N2 gun. After the catalytic etching, the samples were process with the standard RCA I and RCA II cleaning to remove the residue metallic layer as well as the remaining photoresist. Therefore, it is expect that all the sacrificial metal was removed from the samples prior to characterisation. 48 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. CHAPTER 4 HYBRID 3D SILICON SURFACE NANO-STRUCTURE ARRAYS FOR SOLAR CELLS BY LASER MICRO/NANO-PROCESSING 4.1 Introduction Silicon substrates with a rough surface exhibit optical enhancement properties due to increased surface area and sub-wavelength surface structures. Various researchers have studied the development of novel silicon surface structures for their interesting optical properties, such as nanoparticles, nanodots and nanorods. To further push the boundary, the 3D silicon nano-structures, which demostrate improved optical performance, have gained interest. In this chapter, we focus on the optical performance of silicon concentric nanorings array and nanowires array, which attribute to 3D surface geometry. This study offers a novel way for the fast fabrication of surface textures in a large scale with feature sizes comparable to light wavelength. Therefore, the achieved surface micro/nano-structures provides a layer with gradient refractive index in between the air ambient and substrate, which is normally required as anti-reflection coating (ARC). Meanwhile, the silicon nano-structures allow an enhanced surface anti- 49 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. reflection performance even at a reduced substrate thickness. Furthermore, the nanowires are modified in features to achieve more complex surface textures. Both experimental measurements and numerical simulations shows an improvement of the optical properties resulting from the change in the design of the silicon nano-structures. 4.2 Characterization methods 4.2.1 Optical microscope (OM) imaging To investigate the uniformity of the fabricated nano-structures array over a large scale, OM images are taken. Figure 4.1 (a) and (b) are the optical microscope top view of the silicon concentric nano-rings structure and silicon nanowires array respectively. Both structures exhibit an excellent uniformity over a large area of about 1.8 cm ×1.8 cm. 50 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.1 Optical microscope top view images of fabricated (a) silicon concentric nanorings array and (b) silicon nanowires array. 4.2.2 Scanning electron microscope (SEM) imaging 4.2.2.1 Silicon concentric nano-rings array To further investigate the fabricated concentric silicon nano-rings structure, individual pattern of the arrays are presented as following. Figure 4.2 shows the SEM images of the fabricated concentric nano-rings arrays. By controlling the time of catalyst assisted wet etching at 5 min, 15 min and 35 min, the height of the nano-rings are 750 nm, 3 µm and 12µm as shown in Figure 4.2 (a), (b) and (c) respectively. Meanwhile, the line width of the concentric nano-rings are 800 nm, 600 nm and 450 nm as observed on the surface, which result on an aspect ratio up to around 27:1. In Figure 4.2 (a), additional small nano-rings with same height are fabricated in between the concentric nano-rings to complex the structure for 51 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. further reflection measurement since the exposed bulk silicon surface area add up to the reflection by a significant amount. The period of the fabricated nano-rings array could be flexibly tuned by changing the MLA period as well as moving the nano-stage for multiple exposure within one MLA period. In this study, the fabricated concentric nano-rings array has a period of 15 µm by 30 µm MLA and four-time exposure. 52 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.2 SEM micrographs of silicon concentric nano-rings arrays fabricated at heights of (a) 750 nm, (b) 3 µm and (c) 12µm. 4.2.2.2 Silicon nanowires array 53 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.3 SEM micrographs of silicon nanowires array fabricated with (a) 300 nm diameter and pillars’ height of (b) 300 nm, (c) 1 µm, (d) 6 µm, (e) 12 µm and (f) 40 µm. In this study, the period of the fabricated silicon nanowires array is resulted to be around 600 nm by setting the angle of the rotating stage of the LIL system at the angle of 16 degree. Using the 325 nm wavelength laser with a power of 10 mW and fixing the exposure time to 2 min before and after rotating the samples by 90 degrees, the silicon nanowires array obtains the diameter of pillars at a half of the period, which is around 300 nm as shown in Figure 4.3 (a). By controlling the time of catalyst assisted wet etching to be 1 min, 5 min 10 min, 15 min and 30 min, the heights of the nanowires are around 300 nm, 1 µm, 6 µm, 12 µm and 40 µm as shown in Figure 4.3 (b) - (f). From Figure 4.3, it can be seen that the obtained silicon nanowires is free from metallic impurities from the fabrication process. Therefore, their optical performance is not affected by the presence of a metallic layer or metal particles. With increasing the etching time, the silicon nanowires array could reach a height up to more than 40 µm. Therefore, an ultra-high aspect ratio up to 120:1 is 54 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. achieved. In addition, the silicon nanowires array maintain a good periodicity at heights from 1 to 12 µm. When the height of silicon nanowires array increases to ~ 40 µm, the mechanical strength of the nano-structure fails to support the nanowires. Several adjacent silicon nanowires array lean together to form silicon nanowires array clusters, which compromises the silicon nanowires arrays’ periodicity. 55 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.4 SEM image of silicon nanowires array fabricated with (a) less than half period, (b) half period and (c) larger than half period diameters of the pillars at the same height. Figure 4.4 shows the silicon nanowires array fabricated with different diameters of the pillars by varying the angle of rotation stage, exposure fluence and develop time. Meanwhile, the samples with different feature sizes are immersed into the catalytic etching solution at same time, which will provide the same height of nanowires. 4.2.3 UV-Vis spectroscopy All the reflection spectra of the silicon surface micro/nano-structures array are measured with an UV-Vis scanning spectrophotometer (Shimadzu Corporation). Normal incident light is used in the experiment. For periodic nanostructures, the 1st order Floquet reflection wave is comparable to the normal reflected wave. Therefore, the measurement of oblique reflection is necessary. Integrating sphere method is adopted for reflection measurement. 56 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. 4.2.3.1 Silicon concentric nano-rings array The reflection spectra of the silicon concentric nano-rings array at heights of 750 nm, 3 µm and 12 µm are shown in Figure 4.5, and the reflection spectra correspond to the concentric nano-rings array on their left accordingly. From the measured spectra, the average reflection of the silicon surface reduces from 12.4% to 3.7% at the wavelength range (300 ~ 1300 nm) by adopting the concentric nano-rings array. The maximum reflection reduces from 31.7% to 6.8% at 1300 nm. However, it can be observed from all three spectra that the reflection of the textured surfaces reach a peak at the wavelength smaller than 400 nm comparing to the overall reflection. 57 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.5 Reflectance spectra of silicon concentric nano-rings arrays with (a) 750 nm, (b) 3 µm and (c) 12 µm ring heights. Different from the flat silicon surface, the textured silicon surface has plenty of micro-rings at different feature sizes, which enlarge the surface area and re-routes the incident light inside silicon substrate. The incident light bounces from one structure to another. This multi-internal reflection process can largely increase the 58 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. optical length of the incident light. Therefore, the opportunity for light absorption by the silicon substrate is enhanced greatly. Though the silicon surfaces with the concentric nano-rings array can reduce reflection at the interface, the resulting surface structures leave the large area of flat silicon in between the features even at high aspect ratios, as it is shown in Figure 4.5, and therefore, limit the anti-reflection performance. 4.2.3.2 Silicon nanowires array with different pillar heights Figure 4.6 illustrates the measured spectra (300 -1300 nm) of silicon nanowires with different heights. It is obvious that the reflection of the silicon nanowires at the height of 1 µm is around 10% at the wavelength range (300 ~ 1000 nm). A sharp increase in reflection up to 24.3% in the 1000 -1300 nm wavelength range is clearly visible in Figure 4.6 (a). Compared with the concentric nano-rings at a similar height, the lower reflection is shown in nanowires at 1 µm high, which gives an average reflection of 11.8% and broadband reflection below 24.3%. However, the anti-reflection performance is not improved when the aspect ratio of the nano-ring is further increased. This can be attributed to several factors. Firstly, the low aspect ratio (~ 3:1) of structures limits the surface roughness and area, which subsequently limits the light trapping. Furthermore, the light absorption by the Si surface is weak, especially at the wavelength range (1000 ~ 1300 nm), which is close to the single crystalline Si band gap at 1100 nm. A certain fraction of the light enters the Si substrate and is reflected back from the backside surface. 59 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Moreover, the limited anti-reflection performance reasons from the total area of the flat surface at the sidewalls, top and bottom surfaces of silicon nanowires, which give rise to an increase to their surface reflection. Figure 4.6 (a) shows that the surface profile at the top side of silicon nanowires at 1 µm high is nearly identical to the original flat Si. It is much smoother than that of nanowires at increased heights due to the short etching time of 5 min. Though the top area of single pillar is small, the overall top area is significant considering the high array density. The total flat top area contributes to the high reflection of the surface. When the height of silicon nanowires increases to 6 and 12 µm, the surface reflection decreases throughout the 300 to 1300 nm wavelength range. The nanowires, which are sub-wavelength structures, approximately act as an intermediate layer with an effective RI. The effective RI can be calculated by the volume fraction of silicon and air inside this layer. Consequently, it compensates the RI mismatching at Si-air interface and reduces the reflection. Meanwhile, the ultra-high aspect ratio provides much higher opportunities for light trapping among silicon structures. The enlarged vertical dimension significantly increases the surface area available for light trapping. Meanwhile, compared to the pillars at 1 µm high, it can be observed that the top surface areas become rougher due to the longer etching time required to fabricate 6 and 12 µm pillars. Such rough top surfaces help to reduce reflection as well. Therefore, the broadband reflection of nanowires at the height of 6 µm can be reduced to below 16.6% and an average reflection at 5.0% can be achieved. Furthermore, at a height of 12 µm the average reflection of silicon nanowires is 1.2% and broadband reflection is below 2.8%. 60 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. The maximum reflection at 2.8% is observed at a wavelength of 1300 nm. The relatively high reflection in the infrared-range is due to the backside surface reflection of Si substrate. Figure 4.6 Measured reflectance spectra of silicon nanowires arrays with (a) 1 µm, (b) 6 µm, (c) 12 µm and (d) 40 µm pillar heights. 61 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. When the height of silicon nanowires is further increased to ~ 40 µm, the silicon nanowire clusters are generated. Thus the light trapping effect is weakened due to the less effective surface aspect ratio, leading to the reduced light absorption. The overall anti-reflection performance (average reflection at 4.3% and broadband reflection below 6.4%) is weakened compared to the silicon nanowires at the height of 12 µm. 4.2.3.3 Silicon nanowires array with different pillar diameters To investigate the effect of pillar densities on the surface reflection, the silicon nanowires are fabricated into different diameters. By varying laser fluence during the LIL exposer process, the photoresist patterns are resulted in different feature sizes after lift-off. Therefore, the silicon nanowires are fabricated to be at diameters of smaller than, larger than and equal to a half of the periods. Meanwhile, the silicon nanowires are fixed at a height of 6 µm and a period of 600 nm. Figure 4.7 illustrates the measured spectra of silicon nanowires array at different densities. 62 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.7 Measured reflectance spectra of silicon nanowires array with pillar diameters of (a) less than, (b) equal to and (c) larger than half period. It can be observed in Figure 4.7 (b) that when the pillar diameters equal to a half of the period, the average reflection over the whole spectrum reaches the lowest value which is 3.2%. And the highest refection is 6.2% at the wavelength of 1200 nm. However, when either reducing or increasing the diameter of the nanowires relative to a half of the period, the reflection increases over the whole band. In Figure 4.7 (a), the diameter of the nanowire is reduced to around 90 nm, and the 63 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. flat silicon substrate is mostly exposed as shown in the SEM image. The average reflection shows to be 8.7% and a maximum of 17.9% achieved at 1200 nm. This increased reflection is mainly caused by the reflection at the flat silicon substrate surface in-between the silicon nanowires, which directly reflect the incident light. On the other hand, the diameter of the nanowire is increased to 450 nm as shown in Figure 4.7 (c). The average reflection is 7.2% and a maximum of 9.3% is achieved at 1200 nm. In this case, the total area of the nanowires top surface appears to be similar as flat silicon surface, and therefore, light reflection is boosted. 4.3 “Mushroom”-shape silicon nanowires array During the fabrication process of the silicon nanowires array, a problem associated with the lift-off method identified. The sidewall of the photoresist patterns resulting from LIL were found to be not perfectly perpendicular to the substrate, as shown schematically in Figure 4.8. Figure 4.8 Schematically cross section view of LIL-based lift -up process. 64 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. This sidewall of the patterns turns out to be in a bump shape, which makes it easier for the deposited metal to form a continuous film layer. This metal film layer covers all the photoresist patterns and thus makes it difficult for acetone to permeate into the structure to remove the photoresist. In order to solve the problem, a new fabrication process was developed with the multiple step of etching and no sigle layer lift-off process (see Figure 4.9) is proposed in the fabrication of “mushroom”-shape silicon nanowire arrays. In this process, the sample directly proceeds with catalyst assisted etching after the deposition of metal film, with both metal film and remaining photoresist on the Si substrate. Subsequently, an additional isotropic KOH etching is applied to the sample before removal of the residue films. Figure 4.9 Schematic process flow for the fabrication of 3D silicon nano-structures array fabrication without using a lift off process. 65 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Since the photoresist mask and the metal film remain on the substrate d uring the process, the residue dots of photoresist keep on covering the heads of the silicon nanowires and keep them from reacting with the etching solution. The thicker the residue layer is, the slower the etching process is. Therefore, the etching speed of the heads of the silicon nanowires is much slower than it is at the sidewalls of the nanowires. Eventually, an enlarged head part is formed at each single standing silicon nanowire which strongly resembles a “mushroom”-shape. In this experiment, the same samples specification and equipment are applied for the fabrication of “mushroom”-shape silicon nanowires array. The enlarged diameter ratio of the nanowire’s head relative to the bottom of the structure can be varied by etching time and thickness of photoresist (~300 nm in this case). Then the samples undergo a 15 min catalyst assisted etching, and subsequently dipped into 17% KOH solution for 5 min. Eventually, the metal and photoresist residue layers are removed by cleaning steps as in Section 3.2.1. 4.3.1 Scanning electron microscope (SEM) image Figure 4.10 illustrates a SEM micrograph of the “mushroom”-shape silicon nanowires array. The fabricated nanowires have a height of 6 µm at an area of 1.8 cm2 × 1.8 cm2. The “mushroom”-shape silicon nanowires array maintain a good periodicity and uniformity, and the residue layer is able to be fully removed from the top of the nanowires, therefore giving a clear view of the “mushroom”-shape head parts. The diameters of the head and the nanowires’ sidewalls are 230 nm 66 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. and 200 nm, respectively, which shows an increase of the diameter from nanowires’ sidewall to the top by around 15%. Figure 4.10 SEM micrograph of a "mushroom"-shape silicon nanowires array. 4.3.2 UV-Vis spectroscopy Other than metallic nanoparticles decoration on silicon micro/nano-structures, the hybrid 3D silicon nano-structures are proposed to further enhance the antireflection performance for solar cells. Figure 4.17 shows the experimental reflection spectra of the silicon nanowires array and fabricated “mushroom”shape silicon nanowires array, as shown in Figure 4.10, at the same height, period and sidewall diameter. 67 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.11 Measured reflection spectra of silicon nanowires array with and without the "mushroom"-shape crowns. It can be observed that an overall reduction of the reflectance is achieved, thus the spectrum is flattened in broadband by fabricating the silicon nanowires into the proposed “mushroom” shape. Especially, the maximum reflection is greatly suppressed form 2.7% to 1.3% at a wavelength of 1200 nm. Meanwhile, the average reflection is reduced from 1.9% to 1.0%, and a reflection lower than 1.0% was achieved for the for a 300 – 1000 nm wavelength range. In this case, the enlarged head of the silicon nanowires with the sub-wavelength feature sizes is able to further enhance the scattering of incident light as well as the back reflected light, and trap them in the silicon substrate. Meanwhile, this 68 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. structure provides an enhanced electron field inside the “mushroom”-shape head part comparing to the normal silicon nanowires (detailed in chapter 4.4). 4.4 Theoretical analyses of enhanced light trapping in hybrid 3D silicon nano-structures array 4.4.1 Optical performance In order to investigate the enhancement of antireflective properties of “mushroom”-shape nanowires surface textures, the reflectance and absorption of a 5 µm-thick planar silicon absorber layer and one decorated with the surface textures of both normal and “mushroom”-shape silicon nanowires at 5 µm are calculated. During the simulation process, the surrounding environment and all the numerical factors of the silicon nano-structures array are set to the same condition. 4.4.1.1 Reflectance of silicon nano-structures array Figure 4.12 shows the spectrally resolved reflectance spectra for the two nanoscale surface textures and the planar surface as reference. 69 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. 50 "Mushroom" nanowires Silicon nanowires Planar Reflection (%) 40 30 20 10 0 400 600 800 1000 1200 Wavelength (nm) Figure 4.12 Measured spectrally resolved reflectance of planar silicon, normal and “mushroom”-shape silicon nanowires. Compared to the planar surface, nano-scale surface textures reduce the surface reflectance over the spectrum. This is because in the layer of the silicon nanostructures, the silicon volume ratio corresponds to a gradient effective refractive index profile bridging between the low-index air and high-index silicon. Furthermore, the “mushroom”-shape silicon nanowires surface texture has a more significant antireflection effect than the normal silicon nanowires surface text ure. The fabricated “mushroom”-shape silicon nanowires display a changing silicon volume ratio from top to bottom of the layer of nanowires. The anti-reflection effect results from an effective index profile gradually change from low to high 70 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. from air to bulk silicon interface. Since the “mushroom”-shape silicon nanowire without the top part shows to be a needle-like texture, the reflection is reduced over the whole spectrum. On the other hand, the “mushroom”-shape top of the nanowire provides an enlarged and roughen the surface area of the nano-structure, thereby, an enhance light trapping path is achieved, which results in a lower overall reflection. 4.4.1.2 Absorption of silicon nano-structures array Figure 4.13 shows the spectrally resolved absorption spectra of the nano-scale structures at normal incidence of normal and “mushroom”-shape silicon nanowires as well as the planar reference for absorber layers of 5 µm thickness, respectively. Both nano-scale structures show significant light absorption enhancement compared to the planar reference. To achieve similar absorption, planar structure of about 10-fold thickness is required. Multiple absorption peaks are observed for both surface nano-structures, where the peak positions vary. Specifically, in the short wavelength range, “mushroom”-shape nanowires surface absorbs light more efficiently, which could come from the path length enhancement when light is trapped in the cavities between adjacent periods as dimension of the cavities is comparable to the wavelength of blue light. In the long wavelength range, the “mushroom”-shape nanowires structure contributes to higher absorption as well. This could be attributed to the strong antireflective effect of the “mushroom”-shape nanowires surface structures due to the gradient effective refractive index, as discussed above. 71 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. 100 Reflection (%) 80 60 40 Planar Silicon nanowires "Mushroom" nanowires 20 0 400 600 800 1000 1200 Wavelength (nm) Figure 4.13 Measured spectrally resolved absorption spectra of planar, normal and “mushroom”-shape silicon nanowires. 4.4.2 E-field distribution in single standing nano-structure To investigate the local variation of absorption within the solar cells, Poynting’s theorem is used to calculate the local absorptance from the electric field distribution and plotted the spatially resolved absorption in one plane, 𝐴= 𝜋 2 ∫ Σ𝑚(𝜀 ) (|𝐸𝑥 | 2 + |𝐸𝑦 | + |𝐸𝑧 |2 ) 𝑑𝜐 𝜆 𝜐 72 (4.1) Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. In this equation, A is the absorptance, ε is the location dependent permittivity, λ is the wavelength, E x, Ey, E z are the electric fields in x, y and z directions. RETICOLO-2D returns the diffraction efficiencies of the transmitted and absorbed orders for an incident plane wave from the top and for an incident plane wave from the bottom, both for TM and TE polarizations (refers to chapter 2.3). The period of the “mushroom” shape silicon nanowire is set to be 600 nm and diameter is half period with height of 1 µm, which are the same as the experimental results. For simulation process, the boundary is set to infinitely repeat the designed structure. Figure 4.20 (a) shows the electric field of a planar silicon substrate. The region [-5, 0] is the silicon layer and the region [0, 5] is air layer, and the air-silicon interface is set at 0. Figure 4.20 (b) and (c) shows the plot for absolute value of square of electric field in the y-direction (abs (Ey2)) at 300 nm and 1000 nm as y-direction shows the feature of the single stand nanowire. The white dashed line shows the interface of air and silicon layer. 73 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. 74 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. Figure 4.14 Plot of the simulated absolute value of square of electric field in y-direction (abs(Ey)2) for (a) planar and (b) “mushroom”-shape nanowires structures at wavelengths of 300 nm and (c) 1000 nm. In the planar reference, the electric field varies in z-direction while distribution along x- and y-plane is uniform [Figure 4.20 (a)]. In structures with surface textures, multiple concentration spots with strong absorption occurs are observed [Figures 4.20 (b) and 4.20 (c)]. Particularly, the “mushroom”-shape nanowires surface texture demonstrates a micro-lensing effect by which an array of spots with a very high light intensity is found at the enlarged top parts of the “mushrooms”. At these spots, the concentration factor is much more significant than that of the silicon nanowires. This explains the higher absorption at larger wavelengths for the “mushroom”-shape silicon nanowires surface textures. This unique property could also potentially enable thinner absorber layers by applying “mushroom”-shape silicon nanowires surface textures. 75 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. 4.5 Summary In this chapter, silicon concentric nano-rings array and silicon nanowires array at different feature sizes are fabricated by the MLA and LIL laser processing. Their nano-structures as well as the anti-reflection performance are investigated accordingly. Due to the complex surface geometry, the efficient light trapping path is significantly improved by constructing multiple reflection inside the structures. With increasing heights, the concentric nano-rings are able to achieve an average reflection as low as 3% over wavelength range of 400 nm to 1000 nm. For the silicon nanowire, the anti-reflection performance could be further improved to around 1.0% when the height of the nanowire is around 12 µm. Meanwhile, by investigating the reflection of silicon nanowires array with different diameters relative to its period, we could optimize the structures with a diameter approximately equals to half period. On the other hand, by altering the configuration of the nano-structures, the hybrid “mushroom”-shape nanowires in this study, provide an increase of the overall absorption at broadband wavelength. Numerical simulation of the optical properties and the E-field distribution of the hybrid silicon nanowires are presented. An intensified absorption is observed for the “mushroom”-shape nanowires. Therefore, absorber layer of only a few micrometers could accomplish absorption comparable to a planar reference of about 10-fold thickness. 76 Chapter 4 Hybrid 3D silicon surface nano-structure arrays for solar cells by laser micro/nano-processing. However, the resulting novel 3D silicon nano-structures complex the surface of the substrate due to its ultra-high aspect ratio, which subsequently challenges the following solar cells fabrication procedures. Therefore, it is critical that an optimized feature is achieved to improve its anti-reflection as well as avoid a complex solar cell fabrication process flow. 77 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. CHAPTER 5 BROADBAND ENHANCEMENT OF ANTIREFLECTION IN SILICON MICRO/NANOSTRUCTURES 5.1 Introduction Rough metal surface exhibits optical enhancement properties due to the strong light scattering of the nano-structures and electric fields that result from light induced surface plasmons (SPs) [95]. Noble metallic particles of sub-wavelength sizes can sustain resonances of collective electron oscillations known as localized surface plasmons (LSP) [96]. With their enhanced optical properties, a wide range of applications have been investigated, such as imaging [97, 98] and photonic devices [99, 100]. It is therefore a highly interesting scope to decorate the metallic nanoparticles to the achieved silicon nano-structures in order to induce desired light scattering and further intensify their anti-reflection performance. In this chapter, the research focus on metallic nanoparticles which are deposited on hybrid 3D nano-structures to ensure a better anti-reflection performance over a broader wavelength range. Furthermore, facing the reflection raised from 78 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. backside of silicon substrate, back surface texturing will be adopted in this study, which improves the overall anti-reflection performance. 5.2 Experimental details 5.2.1 Metallic nanoparticles deposition Roughened silicon surfaces can reduce the optical reflection by light trapping. In this section, the conventional anti-reflection surfaces for solar cells application fabricated by KOH wet etching and surface texturing by laser-based ablation are firstly introduced as reference for comparison with the 3D nano-structures. The metallic nanoparticles are deposited to the KOH etched surfaces, laser processed surface as well as the fabricated silicon nanowires array to investigate their enhancement on anti-reflection performance. Furthermore, the backside surface texturing is studied for its enhancement in light trapping. 5.2.2 Pyramid micro-structures To fabricate micro-pyramid structures on silicon surfaces, an n-type silicon substrate is firstly cleaned to remove the oxide layer as indicated in Section 3.2.1. Then the wafer was immersed in a mixture of KOH and isopropyl alcohol in water, which has the composition of 6 wt% and 20%, respectively. The etching process is performed at 70 ◦C for a duration of 30 min. 79 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.1 (a) Top view and (b) cross section SEM images of the KOH etched silicon surface. Figure 5.1 shows the SEM images of the KOH etched silicon surface. Micropyramids at base width from 5 to 15 µm and height from 2 to 8 µm can be observed over the whole surface. The aspect ratio (height: width) of the microstructures is approximately 2:1. The KOH wet etching cannot provide surface structures with high enough aspect ratios, which limits the anti-reflection performance. 80 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. 5.2.3 Laser surface texturing Direct laser writing provides another method to texture silicon surfaces with micro-structures at a higher aspect ratio to enhance light trapping. A fiber laser ablation system was used to fabricate black silicons as shown in Figure 5.2 (a). The laser wavelength used is 1064 nm, the pulse duration (full width at half maximum, FWHM) is 1 ns and the laser spot size is ~ 20 µm. It can create microstructures on silicon substrates over a large area of 10 × 10 cm2 by scanning the laser beam scanning over the silicon surface, which is shown schematically in Figure 5.2 (b). 81 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.2 (a) Schematic diagram of the laser ablation for silicon surface texturing and (b) a SEM image of the resulting c-Si surface. Compared to the KOH wet etching, the laser ablation can create surface structures at a higher aspect ratio, which is a key factor for better light trapping. The height of the surface structures can reach more than 15 µm, at a width of about 10 µm and aspect ratio of 3:2. Hybrid laser patterning, including different scanning patterns along different directions, is adopted for the surface texturing. The patterns are generated by the laser scanning along horizontal, vertical, diagonal forward 45 degree and diagonal backward 45 degree directions, respectively. 5.2.4 Thermal annealing of metallic nanoparticles Localized surface plasmon resonance (LSPR) can improve the anti-reflection provided by nano-pillars (see Figure 5.3). With electromagnetic (EM) wave excitation, metallic NPs can be used to excite localized SPR to increase optical absorption by the light trapping. Meanwhile, light scattering properties become 82 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. dominant for nanoparticles at a large size. Both effects contribute to the antireflection performance. Au and Ag nanoparticles are mostly used for their SPR excitations at visible range. To reduce the material cost for anti-reflection surface fabrication, other metallic nanoparticles are also investigated, such as Cu, which allow the SPR resonances in IR range. Therefore, the emergence of the metallic nanoparticles in addition to conventional anti-reflection surfaces can further improve the overall antireflection performance. Figure 5.3 Schematic of silicon nanowires array with metallic nanoparticles' decoration. To investigate the anti-reflection effect by metallic nanoparticles, Ag, Ag/Au bimetallic and Cu/Ag/Au tri-metallic nanoparticles were decorated on silicon surfaces by thermal annealing. Metallic thin films were firstly deposited on silicon surfaces by an e-beam evaporator. Thermal annealing at 200 ◦C (for Ag thin film) for 30 min or 500◦C (for Ag/Au and Cu/Ag/Au films) for 30 min were then carried out to create metallic nanoparticles decorated on silicon surfaces. 83 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. 5.3 Characterization 5.3.1 Scanning electron microscope imaging 5.3.1.1 Flat silicon with metallic nanoparticles deposition Figure 5.4 SEM images of (a) Ag, (b) Au, (c)Ag/Au and (d) Cu/Ag/Au metallic nanoparticles' decoration of flat silicon surfaces. SEM images of Ag and Au nanoparticles deposited on the flat silicon surfaces are shown in Figures 5.4 (a) and (b). It is observed that larger particle sizes of around 100 ~ 250 nm are achieved for Ag nanoparticles and much smaller sizes of around 84 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. 10 ~ 30 nm are achieved for Au nanoparticles. However, the surface area coverage is larger for Au nanoparticles decorated surfaces. SEM images of Ag/Au and Cu/Ag/Au alloy nanoparticles formed on the flat silicon surfaces are shown in Figures 5.4 (c) and (d), respectively. The Ag and Au nanoparticles are clearly shown in Figure 5.4 (c) with different nanoparticles’ sizes. The surface area coverage is obviously increased in tri-metallic nanoparticles of Cu/Ag/Au in Figure 5.4 (d). 5.3.1.2 Pyramid micro-structure with metallic nanoparticles deposition Figure 5.5 SEM images of metallic nanoparticles' decoration of the KOH etched silicon surface. Figure 5.5 illustrates the SEM image of KOH etched silicon surfaces with the Ag nanoparticles’ decoration. It is observed that larger particle sizes of around 100 ~ 250 nm are achieved for Ag nanoparticles. And the surface coverage of the Ag 85 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. nanoparticles on the pyramid textures is about the same with Ag nanoparticles decorated on the planar silicon surface. 5.3.1.3 Laser surface texturing with metallic nanoparticles’ deposition Figure 5.6 SEM images of the laser-textured silicon surfaces being decorated with (a) Ag/Au, and (b) Cu/Ag/Au alloy nanoparticles Figure 5.6 shows the SEM images of the laser-textured silicon surfaces decorated with Ag/Au and Cu/Ag/Au nanoparticles. The metallic nanoparticles are 86 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. significantly increased in size and surface coverage when Cu/Ag/Au nanoparticles are decorated. 5.3.1.4 Silicon nanowires array with metallic nanoparticles’ deposition 87 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.7 SEM images of metallic nanoparticles' decoration of the silicon nanowires array at heights of (a) 500 nm, (b) 3 µm, (c) 12 µm and (d) 40 µm. Figure 5.7 shows the SEM images of the metallic nanoparticles' decoration of silicon nanowires array at 500 nm, 3 µm, 12 µm and 40 µm. Ag nanoparticles are deposited on the fabricated silicon nanowires array. The Ag nanoparticles maintain a lower surface coverage at the sidewalls of the silicon nanowires, however, the more Ag nanoparticles are grouped together and contribute to a 88 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. larger size at the top surface of the silicon nanowires. In Figure 5.7 (a), the Ag nanoparticles coat are decorated on both the nanowires as well as the substrate. When the nanowires get larger, the Ag nanoparticles are reduced in coverage at the bottom of the nanowires as it is shown in Figures 5.7 (b), (c) and (d). When the nanowires reach around 40 µm, the silicon nanowires clusters prevent Ag atoms from reaching the substrate. 5.3.2 UV-Vis spectroscopy 5.3.2.1 Silicon micro/nano-structures with metallic nanoparticles’ deposition Figure 5.8 Measured reflection spectra of flat silicon surfaces with and without the metallic nanoparticles' decoration. 89 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. The reflection spectra of the metallic nanoparticles deposited flat silicon substrate (in Figure 5.4) were measured using UV-Vis spectroscopy. The black, blue and red curves in Figure 5.8 show the measured reflection spectra of a flat silicon surface and the flat silicon surfaces decorated with Ag and Au nanoparticles. Comparing with the reflection of flat silicon, the reflection of the Si surface decorated with Ag or Au nanoparticles is dramatically decreased, especially at wavelengths shorter than 800 nm. The suppressed reflection over this wavelength regime is mainly attributed to two reasons. First of all, the interaction between metallic nanoparticles and the incident light contributes to the intrinsic absorption of Ag or Au nanoparticles at LSPR wavelengths. Secondly, Ag or Au nanoparticles at differently sizes are able to forward scatter light into the silicon substrates [101], and thereby trap the propagating light at the interfaces between silicon and air. The reflection of the Ag nanoparticles decorated flat silicon can be reduced to 17.7% at the wavelength of 550 nm, while the reflection of the Au nanoparticles decorated flat silicon decreases to 24.7% at the wavelength of 572 nm. In Figure 5.8, the resonance intensity and optical enhancement of the LSPR in the reflection spectra highly depend on materials, size, and surface coverage density [102]. Furthermore, the reflectance intensity of the Au nanoparticles decorated flat silicon increases to 30% at the wavelength of 503 nm, which may be due to more backward scattering from Ag nanoparticles with a larger diameter (10 - 300 nm) after the annealing. In Figure 5.4 (b), it is observed that Au nanoparticles are densely and randomly distributed so that interactions between nanoparticles occur, which leads to the coupling by the neighboring Au 90 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. nanoparticles [103]. Therefore, the metallic nanoparticles can act as an antireflection layer to effectively reduce the surface reflection of the flat silicon surface at the wavelength range from 300 to 800 nm. As illustrated in Figure 5.8, the pink and green curves show measured reflection spectra of a flat silicon surface and the flat silicon surfaces being decorated with Ag/Au and Cu/Ag/Au alloy nanoparticles. As compared to the flat silicon surface, they exhibit more promising anti-reflection performance with average reflection as low as 16.5% and 12% at the entire wavelength range, respectively. In addition, compared to the flat single metallic nanoparticles decorated silicon surfaces, alloyed nanoparticles achieve further reflectance reduction. This attributes to the increased surface coverage density and size of the nanoparticles under the optimized annealing conditions. The forward scattering from alloy nanoparticles dominates, and strongly scatters the propagating wave into the silicon surface [101]. Moreover, Cu/Ag/Au alloy nanoparticles help effectively reduce the reflection from around 30% to 10% at the wavelength range from 800 to 1000 nm as in Figure 5.8. This is mainly because of the LSPR induced by alloy nanoparticles, and their frequencies are tuned to the longer wavelength range for Cu nanoparticles. From the previous studies, the LSPRs of Ag and Au nanoparticles appear to be around 400 and 530 nm, while Cu nanoparticles have a LSPR wavelength around 570 nm [104], which provides more absorption for alloy nanoparticles at the longer wavelengths range. Therefore, by decorating Cu/Ag/Au alloy nanoparticles, the reflection of the silicon surfaces can be further reduced over the entire wavelength range. 91 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.9 Measured reflection spectra of the KOH etched silicon surface with and without metallic nanoparticles' decoration. Figure 5.9 illustrates the experimental reflection spectra of KOH etched silicon surfaces with and without Ag nanoparticles’ decoration. A significant suppression in reflection is achieved at the wavelength range from 300 nm to 400 nm. Ag nanoparticles created by thermal annealing with Ag thin films thickness of 10 nm (Ag10) and 20 nm (Ag20) have similar suppression behaviors on the reflection spectra. The average reflection of the KOH etched silicon surface with Ag nanoparticles’ (Ag20) decoration is reduced to as low as 9% at the wavelength range of 300 to 1200 nm, and the maximum reflection of 17% appears at 321 nm. In this case, the coupling of Ag nanoparticles and the incident light is strongly enhanced at their LSPR wavelength at around 400 nm. Meanwhile, the textured silicon surfaces of micro-pyramids, in Figure 5.5, are able to extend the light 92 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. propagation length and trapping path, which eventually leads to an improved chance for light absorption by Ag nanoparticles and silicon surfaces. Figure 5.10 Measured reflection spectra of laser textured silicon surfaces with and without metallic nanoparticles' decoration. Compared to the KOH etched silicon surface with Ag nanoparticles’ decoration, laser textured black Si with alloyed nanoparticles’ decoration can exhibit better broadband anti-reflection performance. The experimental reflection spectra of the fiber laser textured Si surfaces with different alloy nanoparticles’ decoration (Figure 5.6) are shown in Figure 5.10. The average reflection of the laser-textured Si surfaces is 8.3% for the 300 – 1200 nm wavelength range, while the silicon surfaces decorated with Ag/Au and Cu/Ag/Au nanoparticles are reduced to 6.9% and 5.5%, respectively. It is observed that there is a significant suppression of reflection in the 300 to 500 nm wavelength range for Ag/Au alloy nanoparticles 93 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. decoration, which is caused by the excitation of the LSPR. Meanwhile, the light scattered from the nanoparticles contributes to anti-reflection performance as well. In addition, the Cu/Ag/Au tri-metallic nanoparticles assist in bringing down the reflection even further in the infrared range. The maximum reflection at 9.2% locates at 1200 nm. Similar to the flat silicon with Cu/Ag/Au nanoparticles, this is due to the fact that the LSPR wavelength of Cu NPs being located at the near infrared wavelength. Thus, the tri-metallic NPs’ decoration results in a better broadband anti-reflection performance. 94 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.11 (a) SEM image and (b) Measured reflection spectra of silicon nanowires arrays with and without metallic nanoparticles' decoration. To further improve the anti-reflection performance as presented in Chapter 4, a hybrid structure by integrating silicon nanowires array and metallic nanoparticles were designed and fabricated (see Figure 5.7) similar as was done in Chapter 4. Since the silicon nanowires array at a height of 12 µm exhibits better antireflection performance, experimental reflection spectra of the silicon surface with and without the Ag nanoparticles’ decoration are illustrated in Figure 5.11. The silicon nanowires with the Ag nanoparticles decoration flatten the reflection spectrum compared to the surface without nanoparticles’ decoration, and a reflection lower than 1.0% was achieved in the whole broadband spectrum from 300 to 1200 nm with an average reflection at 0.8%. The maximum reflection at 1.0% appeares at 572 nm. 95 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. The silicon nanowires exhibit a high aspect ratio of 40:1, which therefore provides a large enough surface area to deposit Ag nanoparticles with the desired surface coverage. When increasing the Ag nanoparticles density, their coupling and the incident light is intensified, which contributes to minimize the surface reflection. A reflection reduction is observed at the wavelength range from 300 nm to 500 nm. This reduced reflection is mainly caused by the enhanced light absorption from Ag nanoparticles at the resonance since the LSPR of Ag nanoparticles is around 400 nm. Furthermore, in the near infrared range, specifically from 1000 nm to 1200 nm, silicon nanowires array with Ag nanoparticles decoration exhibit better anti-reflection performance. It is due to the reduction of reflection from the backside Si surface. Meanwhile, more Ag nanoparticles are decorated at the sidewalls, top and bottom of silicon nanowires. Therefore, with more light scattering by Ag nanoparticles with varying sizes, the effective light trapping path is enhanced for the silicon nanostructures. Therefore, the opportunities for light scattering within the nano-structures are largely increased. By the combination of complex silicon surface structures with Ag nanoparticles, the incident as well as the back reflected light are more effectively trapped inside the nano-structures and reduce the overall reflection. Furthermore, the metallic NPs of varying sizes contribute to absorption over certain wave range, which result in reducing the overall reflectance. In this experiment, the Ag NPs exhibit significant improved absorption of light at 900 nm to 1200 nm and contribute to overall reduction of reflection. Moreover, the Ag NPs attached on 96 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. the tops and sidewalls of nanowires lead to a rougher surface of silicon nanowires, and further reduce the surface reflection. 5.3.2.2 Silicon back surface texturing In our previous analyses, it is found that the surface reflectance of the silicon micro/nano-structures is quite high in the 1000 to 1300 nm wavelength range. It is because the bandgap energy of crystal silicon corresponds to the wavelength, which is close to 1100 nm, it may be also because the light at this long wavelength penetrates deeper into the Si and reflects back from the backside of the Si surfaces. To solve this problem, the rear of the sample is laser-textured to reduce the reflection from the back surface of the substrate and boost the light trapping performance. Laser direct writing with the fiber laser ablation is used to fabricate black Si on both surfaces of silicon substrate. 97 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.12 Measured reflection spectra of 320 µm-thick laser-textured Si front surfaces without and with the backside surface texturing. Figure 5.12 shows that laser texturing on 320 µm-thick Si backside surface can reduce the front surface reflectance in the 1000-2500 nm wavelength. This is because when the sample is thinner, the reflected light from the backside surface is stronger. Laser texturing on the backside surface can decrease the reflected light from the backside surface, resulting in the reduction of the measured reflection. 98 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Figure 5.13 Measured reflection spectra of 320, 530, 890 µm-thick front side lasertextured Si sample with the backside surface texturing. Figure 5.13 shows that the increase of Si thickness can reduce the measured front surface reflection over the wavelength from 1000 to 2500 nm. It is because with the increase of sample thickness, the reflected light from the backside surface decreases gently due to the light absorption inside Si. 5.4 Summary In this chapter, the enhancement of anti-reflection performance for a broad wavelength range is investigated. The silicon nano-structures fabricated are decorated with metallic nanoparticles for the excitement of their LSPR and light scattering, which contribute to the reduction of reflectance over a wide spectrum from 300 nm to 1200 nm. 99 Chapter 5 Broadband enhancement of absorption in silicon micro/nano-structures. Furthermore, by adopting back surface texturing, the anti-reflective property of the substrate is significantly improved at the wavelength from 1000 nm to 2500 nm. Nevertheless, the metallic nanoparticles absorb and scatter the incident light simultaneously. Therefore, when applying the metallic nanoparticles deposited 3D nano-structures to silicon solar cells, the optimum conditions of metal material, features size and surface coverage are required. 100 Chapter 6 Conclusions and future work. CHAPTER 6 CONCLUSIONS AND FUTURE WORK 6.1 Research achievements In this thesis, two major experimental works have been presented. Firstly, the fabrication of the large-area 3D silicon micro/nano-structures and the investigation of their optical properties. Both micro-lens array (MLA) and laser interference lithography (LIL) are applied to fabricate the 3D micro/nano-structures array. Secondly, the broadband enhancement of the anti-reflection performance for the silicon nano-structures is studied. Various approaches are demonstrated to achieve broadband absorption, such as metallic nanoparticles decoration, hybrid design of 3D nano-structures and back surface texturing. The main contributions and results are summarized as follow: 1. Period silicon nano-rings and nanowires array have been fabricated by the MLA and LIL on silicon substrates over a large areas (1.8 cm × 1.8 cm) in a short time (a few minutes). This patterning technique increases the throughput of the nano-structures fabrication, while minimizes the defect during the process. 2. With increasing its height, the fabricated micro/nano-structures array is able to effectively reduce the reflectance of the silicon substrate compared to conventional texturing over the spectrum from 400 nm to 1000 nm. Well-ordered silicon nanowires array at ultra-high aspect ratios are successfully fabricated and they demonstrate 101 Chapter 6 Conclusions and future work. improved anti-reflection in UV-Visible-NIR range. By varying parameters such as the nanowires height and the density of the array, this study provides methods to optimize the silicon nanowires array for optimising their antireflection performance. 3. A novel approach is adopted to achieve the hybrid “mushroom”-shape silicon nanowires. This method consisted of a two-step chemical etching without a lift-off process for the fabrication of silicon nanowires. The diameter of the fabricated nanowires is found to be larger at the top compared to the bottom of the nanowires. The ratio between the top and bottom diameter can be controlled by the thickness of photoresist patterns and the etching time used in the experiment. The reflection of the “mushroom”shape silicon nanowires has been demonstrated in comparison to the original silicon nanowires array with similar dimensions. The hybrid 3D “mushroom”-shape silicon nanowires effectively reduce the reflection over a broad range from 250 nm to 1200 nm. 4. Optical simulation of the “mushroom”-shape silicon nanowires array has been conducted for its enhancement in broadband anti-reflection. The E-field distribution in the single standing “mushroom”-shape silicon nanowires has been calculated and an enhanced field at the enlarged top part is observed at either small or large wavelengths, which contributes to their absorption. 5. Decoration of various silicon surfaces by metallic NPs is investigated to reduce surface reflection. Surfaces such as planar, pyramid and direct laser-ablated silicon surfaces as well as silicon nanowires are studied. Textured silicon and metallic NPs have different mechanisms for reducing the optical reflection. By combining these two methods together to fabricate hybrid surfaces, broadband anti-reflection is achieved compared to the textured silicon surfaces. The Ag NPs decorated silicon nanowires array 102 Chapter 6 Conclusions and future work. exhibits ultra-low reflection at the broadband wavelength. Experimentally, this study demonstrated that silicon surface with a reflection lower than 1.0% over the 300-1200 nm wavelength range can be fabricated. 6. Finally the rear of the silicon sample was textured to further improve the light trapping in the sample. The experimental results show that the back surface texturing obviously reduces the reflection at the wavelength larger than 1000 nm. 6.2 Suggestion for the future work There are some suggestions for the future studies and applications of the research presented in this thesis. 1. To increase the power of the laser employed in LIL system to enlarge the fabrication area, the adjustment of the Lloyd’s interferometer are necessary to reduce the intensity non-equality between the original beam and the reflected beam. By enhancing the beam interference contrast, the resolution of the lithography can be improved down to sub-150 nm dimensions. 2. The shape of the nano-structures fabricated can be altered by changing the angle of the two exposures used in in the LIL system. Angles of 30 and 45 degree, instead of a 90 degree tuning angle, lead to the oblique array nano-structures, such as nano-rod arrays. 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Chem., vol. 13, pp. 1789–1792, 2003. 116 [...]... sub-wavelength structures, higher light absorption is achieved in visible and NIR range, which is significant for solar cells [47, 49, 50] Sub-wavelength structures, e.g hybrid moth-eye structures [34] and ZnO coated Si nano-cone [51], have been shown to exhibit ultra-low reflection by numerical simulations Another point worth mentioning for anti-reflection performance of Si solar cell is metallic nanoparticles... fabrication of precisely located and well-arranged 3D nano -structures arrays on silicon using micro- lens array (MLA) and laser interference lithography (LIL) To further improve the antireflection performance and light trapping efficiency of silicon based solar cells The focus of this research can be divided into several parts Firstly, this study focuses on the large-area synthesis of silicon nanowire... methods and techniques of the fabrication process A detailed procedure of the fabrication of silicon micro/ nano -structures arrays by laser processing is presented Chapter Four investigated the fabricated silicon surface structures for their antireflection performance The reflection in the silicon surface nano -structures arrays are shown according to different designs of their features in both experimental... Figure 2.1 Evolution of silicon solar cell efficiency [36] 7 Chapter 2 Background and literature review Optimizing the solar cell efficiency is all about minimization of losses Therefore, the boost of silicon solar cells efficiency comes with its priority in our study The dominant losses of a silicon wafer solar cell are optical, resistive, and recombination losses In this thesis we will only focus on... decorate silicon surfaces with engineered structures to reduce optical reflection, especially for silicon solar cells with an absorber layer of a few micrometers Following Feynman’s challenge that “there is plenty of room at the bottom” [18], the capability in sculpting silicon with extraordinary precision and efficiency is very much needed for the development of nanotechnology Extensive effort has... comparably weaker absorption at near-bandgap spectrum due to the indirect bandgap of silicon, which results in a narrow absorption spectrum To bypass these limitations, nano-scale textured silicon surface provides the better solution for omnidirectional and broadband anti-reflection [2, 22-28] As photon management schemes for c-Si solar cells with thin absorber layers, such silicon nano -structures usually... of the silicon micro/ nano -structures by two means, which are metallic nanoparticles deposition and back surface texturing Their anti-reflection performance is discussed 5 Chapter 1 Introduction Chapter Six provides the conclusions of this study as well as recommendation for future work 6 Chapter 2 Background and literature review CHAPTER 2 BACKGROUND AND LITERATURE REVIEW 2.1 Silicon solar cells 2.1.1... monocrystalline silicon solar cells, the most commonly adopted light trapping structures are pyramidal textures [20, 21], which have feature sizes of a few micrometers (2~10 µm) However, with reducing the thickness of silicon solar cells to no thicker than a few micrometers, they are no longer favored as absorber 2 Chapter 1 Introduction layers Meanwhile, the crystalline silicon (c-Si) solar cells exhibit... for ultrathin c-Si solar cells 2.1.2 Optical properties of silicon When light impinges on the silicon surface, it is partially reflected due to the optical contrast between c-Si and air The reflection coefficient 𝑅𝑆𝑖 can be calculated by the well know Fresnel equations The transmitted light penetrates into the material, where it is attenuated due to absorption The rate of absorption is determined by. .. reflection reduction at a broadband range 4 Chapter 1 Introduction 1.4 Organization of thesis This thesis is divided into six chapters and their contents are listed as follows: Chapter One gives an introduction on the anti-reflection performance of optical and opto-electrical devices, especially solar cells An introduction of the c-Si surface micro/ nano -structures fabrication is indicated The motivation, ... cells on a large scale This thesis focuses on broadband enhancement of light absorption for solar cells by silicon surface texturing using laser micro/nano -processing Laser technology has become... scattering by nanoparticles (NPs) By the fabrication of the sub-wavelength structures, higher light absorption is achieved in visible and NIR range, which is significant for solar cells [47,... fabrication of silicon micro/nano-structures arrays by laser processing is presented Chapter Four investigated the fabricated silicon surface structures for their antireflection performance The

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