Nonlinear Optics - Appendices doc

... 474 Stokes–anti-Stokes coupling 324, 488, 495, 508 Strain-optic tensor 416 Sum-frequency generation 7–9, 19, 20, 40, 41, 69, 70, 74, 78–80, 91–93, 128, 186 Supercontinuum generation 571 Surface nonlinear optics ... and Magnetism. McGraw-Hill, New York. Appendix C. Systems of Units in Nonlinear Optics There are several different systems of units that are commonly used in nonlin- ear o...

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... involves virtual transitions. 4.6.1. Nonlinearities Resulting from Band-to-Band Transitions For ¯ hω > E g , the nonlinear response occurs as the result of band-to-band transitions. For all but ... (4.6.10) that n 2 scales as E −4 g . Thus narrow-band-gap semiconductors are expected to produce a much larger nonlinear response than large-band-gap semiconductors. These predictions are in...

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... ) . (5.2.5) 5.6. Nonlinear Optics of Liquid Crystals 271 second-order nonlinear optical properties of this system has been presented by Belkin et al. (2001). 5.6. Nonlinear Optics of Liquid Crystals Liquid ... second-order nonlinear optical response. As we shall see, such a medium can produce sum- or difference-frequency generation, but not second-harmonic generation, and moreover...

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... by the Nonlinear Polarization Here we develop a classical (that is, non-quantum-mechanical) model that de- scribes stimulated Raman scattering (see also Garmire et al., 1963). For con- ceptual ... Stokes and anti-Stokes amplitudes is driven by a Raman gain or loss term (the first term on the right- hand side) and by a phase-matched f our-wave mixing term (the second). The four-wave mixing .....

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... strong ampli - cation available from photorefractive two-beam coupling allows this process to be used for various practical applications. For the application of photore- fractive two-beam coupling ... features, including amplified reflection, self-oscillation, and bistability. 11.7.1. Externally Self-Pumped Phase-Conjugate Mirror One interesting feature of four-wave mixing in photorefractive...

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... integral equations,” Nonlinear Analysis: Theory, Methods & Applications, vol. 71, no. 3-4 , pp. 1301–1310, 2009. 23 G. Infante and J. R. L. Webb, Nonlinear non-local boundary-value problems ... J. R. L. Webb, G. Infante, and D. Franco, “Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions,” Proceedings of the Royal Soci...

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... S-shaped bifurcation curves,” Nonlinear Analysis: Theory, Methods & Applications, vol. 22, no. 12, pp. 1475–1485, 1994. 15 S H. Wang and T S. Yeh, “Exact multiplicity of solutions and S-shaped ... “S-shaped bifurcation curves,” Nonlinear Analysis: Theory, Methods & Applications, vol. 5, no. 5, pp. 475–486, 1981. 17 R. Shivaji, “A remark on the existence of three solutions via...

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... soon. Rothe-Galerkin's method for nonlinear integrodifferential equations Boundary Value Problems 2012, 2012:10 doi:10.1186/168 7-2 77 0-2 01 2-1 0 Abderrazek Chaoui (razwel2004@yahoo.fr) Assia Guezane-Lakoud ... Rothe method, the author in [2] studied a nonlinear degenerate parabolic equation with a second-order differential Volterra operator. In [3] the solutions of nonlinear...

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... Figure 1: Infinite beam on nonlinear and non-uniform elastic foundation. 36 Existence and uniqueness of nonlinear deflec- tions of an infinite beam resting on a non- uniform nonlinear elastic foundation Sung ... and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation Boundary Value Problems 2012, 2012:5 doi:10.1186/168 7-2 77...

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