Geometrical optics: Some applications of the law of intensity

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6289, Issue , 2006, Pages

  Shealy, David L ^a  

^a UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

Author keywords

Beam shaping; Geometrical optics; Law of intensity; Nonimaging optics

Indexed keywords

BEAM SHAPING; LIGHT INTENSITY; NONIMAGING OPTICS; OPTICAL WAVEFRONTS;

LIGHTING; OPTICAL DESIGN; OPTICAL PROPERTIES; OPTICAL SYSTEMS; RAY TRACING; REFLECTION; WAVEFRONTS;

GEOMETRICAL OPTICS;

EID: 33750490433     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.682852     Document Type: Conference Paper

References (41)

1. M. Born and E. Wolf, Principles of Optics, Cambridge University Press, Cambridge, UK, seventh ed., 1999.
2. G. A. Deschamps, "Ray techniques in electromagnetics," Proceedings of the IEEE 60.9, pp. 1022-1035, 1972.
3. S. Solimeno, B. Crosignani, and P, DiPorto, Guiding, Diffraction, and Confinement of Opical Radiation, Academic Press, Inc., New York, 1986.
4. O. N. Stavroudis, The Mathematics of Geometrical and Physical Optics, Wiley-VCH Verlag, Weinheim, Germany, 2006.
5. D. J. Griffiths, Introduction to Electrodynamics, Prentice Hall, Upper Saddle River, NJ 07458, third ed., 1999.
6. E. Kreyszig, Introduction to Differential Geometry and Riemannian Geometry, Mathematical Exposition No. 16, University of Toronto Press, 1968.
7. D. J. Struik, Lectures on Classical Differential Geometry, Addison-Wesley Publishing Company, Inc., Reading, MA, second ed., 1961.
8. S. C. Parker, "Properties and applications of generalized ray tracing," technical report 71, Optical Sciences Center, University of Arizona, Tucson, AZ 85721, November 1971.
9. O. N. Stavroudis, The Optics of Rays, Wavefronts, and Caustics, Academic Press, Inc., New York, 1972.
10. O. N. Stavroudis and R. C. Fronczek, "Caustic surfaces and the structure of the geometrical image," J. Opt. Soc. Am. 66.8, pp. 795-800, 1976.
11. O. N. Stavroudis, R. C. Fronczek, and R.-S. Chang, "Geometry of the half-symmetric image," J. Opt. Soc. Am. 68.6, pp. 739-742, 1978.
12. O. N. Stavroudis, "The k function in geometrical optics and its relationship to the archetypal wave front and the caustic surface," J. Opt. Soc. Am. A 12.5, pp. 1010-1016, 1995.
13. O. N. Stavroudis and J. B. Hurtado-Ramos, "Maxwell equations and the k function," J. Opt. Soc. Am. A 17.8, pp. 1469-1474, 2000.
14. J. B. Keller and H. B. Keller, "Determination of reflected and transmitted fields by geometrical optics," J. Opt. Soc. Am. 40.1, pp. 48-52, 1950.
15. J. A. Kneisly, "Local curvature of wavefronts in an optical system," J. Opt. Soc. Am. 54.2, pp. 229-235, 1964.
16. E. Bochove, "Geometrical optics field of general optical systems," J. Opt. Soc. Am. 69.6, pp. 891-897, 1979.
17. D. L. Shealy and D. G. Burkhard, "Flux density for ray propagation in discrete index media expressed in terms of the intrinsic geometry of the deflecting surface," Optica Acta 20.4, pp. 287-301, 1973.
18. D. L. Shealy and D, G. Burkhard, "Analytical illuminance calculation in a multi-interface optical system," Optica Acta 22.6, pp. 485-501, 1975.
19. D. G. Burkhard and D. L. Shealy, "Simplified formula for the illuminance in an optical system," Appl. Opt. 20.5, pp. 897-909, 1981.
20. D. G. Burkhard and D. L. Shealy, "A different approach to lighting and imaging: formuas for flux density, exact lens and mirror equations and caustic surfaces in terms of the differential geometry of surfaces," in Materials and Optics for Solar Energy Conversion and Advanced Lighting Technology, C. M. Lampert and S. Holly, eds., Proc. SPIE 092, pp. 248-272, 1986.
21. D. L. Shealy, "Analytical illuminance and caustic surface calculations in geometrical optics," Appl. Opt. 15.10, pp. 2588-2596, 1976.
22. D. G. Burkhard and D. L. Shealy, "Formula for the density of tangent rays over a caustic surface," Appl. Opt. 21.18, pp. 3299-3306, 1982.
23. I. H. Al-Ahdali and D. L. Shealy, "Optimization of three- and four-element lens systems by minimizing the caustic surfaces," Appl. Opt. 29.31, pp. 4551-4559, 1990.
24. R. S. Change and O. N. Stavroudis, "Generalized ray tracing, caustic surfaces, generalized bending, and the construction of a novel merit function for optical design," 1980.
25. A. M. Kassim, D. L. Shealy, and D. G. Burkhard, "Caustic merit function for optical design," Appl. Opt 28.3, pp. 601-606, 1989.
26. C. Wang and D. L. Shealy, "Multi-mirror anastigmat design," in Current Developments in Optical Design and Optical Engineering III, R. E. Fisher and W. J. Smith, eds., Proc. SPIE 2000, pp. 28-33, 1993.
27. R. Winston and R. J. Koshel, eds., Nonimaging Optics and Efficient Illumination Systems. Proceedings of SPIE Vol. 5529 (SPIE, Bellingham, WA, 2004).
28. F. M. Dickey and D. L. Shealy, eds., Laser Beam Shaping VI. Proceedings of SPIE Vol. 5876 (SPIE, Bellingham, WA, 2005).
29. W. T. Welford and R. Winston, High Collection Nonimaging Optics, Academic Press, New York, 1989.
30. D. L. Shealy, "Classical (non-laser) methods," in Laser Beam Shaping - Theory and Techniques, F. M. Dickey and S. C. Holswade, eds., pp. 313-348, Marcel Dekker, New York, 2000.
31. N. C. Evans and D. L. Shealy, "Design and optimization of an irradiance profile-shaping system with a genetic algorithm method," Appl. Opt. 37, pp. 5216-5221, 1998.
32. N. C. Evans and D. L. Shealy, "Design of a gradient-index beam shaping system via a genetic algorithm optimization method," in Laser Beam Shaping, F. M. Dickey and S. A. Holswade, eds., Proc. SPIE 4095, pp. 26-39, 2000.
33. N. C. Evans and D. L. Shealy, "Optimization-based techniques for laser shaping optics," in Laser Beam Shaping - Theory and Techniques, F. M. Dickey and S. C. Holswade, eds., pp. 215-248, Marcel Dekker, New York, 2000.
34. D. L. Shealy, "History of beam shaping," in Laser Beam Shaping Applications, F. M. Dickey, S. C. Holswade, and D. L. Shealy, eds., pp. 307-347, CRC Press, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487, 2006.
35. J. Kreuzer, "Laser light redistribution in illuminating optical signal processing systems," in Optical and Electro-Optical Information Processing, J. T. Tippett, D, A. Berkowitz, L. C. Clapp, C. J. Koester, and J. Alexander Vanderburgh, eds., p. 365, (Cambridge, MA), 1965.
36. J. L. Kreuzer, "Coherent light optical system yielding an output beam of desired intensity distribution at a desired equiphase surface," US Patent 3,476,463, 4 November 1969.
37. J. A. Hoffnagle and C. M. Jefferson, "Design and performance of a refractive optical system that converts a gaussian to a flattop beam," Appl. Opt. 39.30, pp. 5488-5499, 2000.
38. J. Hoffnagle and C. Jefferson, "Refractive optical system that converts a laser beam to a collimated flat-top beam," US Patent 6,295,168, 25 September 2001.
39. L. Luneburg, Mathematical Theory of Optics, University of California Press, Berkeley, CA, 1964.
40. M. Kline and I. Kay, Electromagnetic Theory and Geometrical Optics, Pure and Applied Mathematics, Interscience Publishers, John Wiley, New York, 1965.
41. L. Felsen and M. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, Englewood Cliffs, NJ, 1973.