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Applied Optics

Applied Optics


  • Vol. 15, Iss. 10 — Oct. 1, 1976
  • pp: 2588–2596

Analytical illuminance and caustic surface calculations in geometrical optics

David L. Shealy  »View Author Affiliations

Applied Optics, Vol. 15, Issue 10, pp. 2588-2596 (1976)

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The analytical illuminance monitoring technique provides an exact expression within the geometrical optics limit for the illuminance over an image surface for light that has passed through a multiinterface optical system. The light source may be collimated rays, a point source, or an extended source. The geometrical energy distributions can be graphically displayed as a line or point spread function over selected image planes. The analytical illuminance technique gives a more accurate and efficient computer technique for evaluating the energy distribution over an image surface than the traditional scanning of the spot diagram mathematically with a narrow slit. The analytical illuminance monitoring technique also provides a closed form expression for the caustic surface of the optical system. It is shown by examining the caustic surface for a number of lens systems from the literature that the caustic is a valuable merit function for evaluating the aberrations and the size of the focal region.

© 1976 Optical Society of America

Original Manuscript: August 27, 1975
Published: October 1, 1976

David L. Shealy, "Analytical illuminance and caustic surface calculations in geometrical optics," Appl. Opt. 15, 2588-2596 (1976)

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  1. D. L. Shealy, D. G. Burkhard, Opt. Acta 22, 485 (1975).
  2. D. L. Shealy, W. M. Rosenblum, Opt. Eng. 14, 237 (1975).
  3. O. N. Stavroudis, D. P. Feder, J. Opt. Soc. Am. 44, 163 (1954).
  4. E. R. G. Eckert, E. M. Sparrow, Int. J. Heat Mass Transfer 3, 42 (1961).
  5. S. H. Lin, E. M. Sparrow, J. Heat Transfer 87C, 299 (1965).
  6. J. A. Plamondon, T. E. Horton, Int. J. Heat Mass Transfer 10, 655 (1967).
  7. J. B. Keller, H. B. Keller, J. Opt. Soc. Am. 40, 48 (1950).
  8. J. B. Keller, W. Streifer, J. Opt. Soc. Am. 61, 40 (1971).
  9. V. A. Fock, Electromagnetic Diffraction and Propagation Problems (Pergamon, New York, 1965), Chap. 8.
  10. M. Kline, I. W. Kay, Electromagnetic Theory and Geometrical Optics (Interscience, New York, 1965), pp. 184–190.
  11. G. A. Deschamps, Proc. IEEE 60, 1022 (1972).
  12. M. Herzberger, Modern Geometrical Optics (Wiley-Interscience, New York, 1958).
  13. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1965), p. 127.
  14. O. N. Stavroudis, The Optics of Rays, Wavefronts, and Caustics (Academic, New York, 1972).
  15. S. C. Parker, “Properties and Applications of Generalized Ray Tracing,” Technical Report 71, Optical Sciences Center, University of Arizona, Tucson, Arizona (1971).
  16. H. Schench, J. Opt. Soc. Am. 47, 653 (1957).
  17. V. Z. Barkowski, Optik 18, 22 (1961).
  18. V. Z. Barkowski, Optik 19, 226 (1962).
  19. J. B. Scarborough, Appl. Opt. 3, 1445 (1964).
  20. D. L. Shealy, D. G. Burkhard, Appl. Opt. 12, 2955 (1973).
  21. H. M. A. El-Sum, J. Opt. Soc. Am. 62, 1375A (1972).
  22. D. L. Shealy, D. G. Burkhard, Opt. Acta 20, 287 (1973).
  23. W. Brouwer, Matrix Methods in Optical Instrument Design (Benjamin, New York, 1964).
  24. O. N. Stavroudis, L. E. Sutton, “Spot Diagrams for the Prediction of Lens Performance from Design Data,” National Bureau of Standards Monograph 93 (1965).
  25. D. L. Shealy, J. Opt. Soc. Am. 66, 76 (1976).
  26. Private communication, D. G. Burkhard, Physics Department, University of Georgia, Athens, Georgia 30602.
  27. F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, New York, 1957).

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