Nonimaging Optics Winston Episode 7 docx

... achieve a prescribed 7. 7 Freeform Optical Designs for Point Sources in 3D 173 which can also be written as (7. 34) 7. 7.3 Mathematical Statement of the Problem Eqs. (7. 29), (7. 32), and (7. 34) form a system ... means of (7. 37) Assume that we have two functions sˆ(u, v) yrˆ(u, v) satisfying the system of Eq. (7. 36), then we have two functions r(u, v) ys(u, v) fulfilling Eq. (7. 28)...

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... Applied Optics 34, 78 77 78 87. Ong, P. T., Gordon, J. M., and Rabl, A. (1996). Tailored edge-ray designs for illu- mination with tubular sources. Applied Optics 35, 4361–4 371 . Ong, P. T., Gordon, ... 1259–1264. Winston, R. (1 974 ). Principles of solar concentrators of a novel design. Sol. Energy 16, 89–95. Winston, R. (1 978 a). Cone collectors for finite sources. Appl. Opt. 17, 68...

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... 160 7. 3 Some Point Source Examples with Cylindrical and Rotational Optics 161 7. 4 The Finite Strip Source with Cylindrical Optics 162 7. 5 The Finite Disk Source with Rotational Optics 166 7. 6 ... Optics 172 7. 7 Freeform Optical Designs for Point Sources in 3D 173 References 178 8. Simultaneous Multiple Surface Design Method 181 8.1 Introduction 181 8.2 Definitions 182 8.3...

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... where a is the radius of the cylindrical absorber (Winston, Hinterberger, 1 975 ). 48 Chapter 4 Nonimaging Optical Systems Imaging Optics Nonimaging Optics: D dl = constant [Fermat 1601-1665], where a) b) P¢ P ... surfaces. REFERENCES Born, M., and Wolf, E. (1 975 ). “Principles of Optics, ” 5 th Ed. Pergamon, Oxford, England. Cornbleet, S. (1 976 ). “Microwave Optics. ” Academic Pr...

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... channel condenser optics. J. Opt. Soc. Am. 42, 71 2 71 5. Winston, R. (1 970 ). Light collection within the framework of geometrical optics. J. Opt. Soc. Am. 60, 245–2 47. Winston, R. (1 974 ). Principles ... concentration. The CPC in 2D geometry was described by Winston (1 974 ). Further elabora- tions may be found in Winston and Hinterberger (1 975 ) and Rabl and Winston (1 976...

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... principle of Maupertuis. The Hamiltonian formulation, when applied to nonimaging optics, makes little use of the results for imaging optics, and because of this, its results may appear more mechanic ... ideal 3D nonimaging concentrators were already known when the Poisson brackets method was developed. Among these, the most important is the hyperboloid of rev- olution (Winston and We...

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... according to Eq. (7. 5) we want q to be a linear function of f—say, q = a·f (with the boundary condition that q = 0 at f = 0). Then the solution of Eq. (7. 4) is (7. 6) where, (7. 7) and R o is the ... of Optics. University of California Press, Berkeley. Miñano, J. C. (1985a). New family of 2-D non-imaging concentrators: The Com- pound Triangular Concentrators. Applied Optics 24, 3 872...

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... C G 29,546 7, 3 87 821.5 296.2 Total transmission, T t (q i ) (%) 96.9 97. 3 94.5 86.9 Total transmission without shadow T t (q i ) (%) 97. 4 97. 7 96.6 96 .7 Thickness/entry aperture diameter 0. 278 0. 279 ... Benítez, P. (1995). RXI: A high-gain, compact, nonimaging concentrator. Applied Optics, Vol. 34, 34, 78 50 78 56. Ning, X., Winston, R., and O’Gallagher, J. (19 87) . Dielectri...

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... half width of the rectangle in the x-direction (10 .78 ) Using these limits, Eq. (10.68) gives the formula (10 .79 ) Combining Eqs. (10 .77 ) and (10 .79 ), along with the fact that the skewness distri- bution ... using the above range of f-values, we immediately obtain (10 .73 ) The total étendue in this case is (10 .74 ) Comparing Eqs. (10 .70 ) and (10 .73 ), we find that the skewness distr...

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... Inverse-Engineering Formalism 275 + + 100 97 95 5 101520253035404550 Acceptance angle (deg) Total transmission (%) 10° OSC (96.36%) 20° OSC ( 97. 21%) 20° CPC (96 .74 %) 10° CPC (95.68%) Figure 11.4 ... the 3D OSC and the 3D CPC with a 10° acceptance angle. 200 175 150 125 100 75 50 25 0 –10 –9 –8 7 –6 –5 –4 –3 –2 –1012345 678 910 Skewness s (mm) de/ds (1/mm) Skewness distributio...

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