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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 1 — Jan. 1, 1976
  • pp: 60–62

Geometrical optics and dynamic programming

Arturo Noyola-Isgleas  »View Author Affiliations


JOSA, Vol. 66, Issue 1, pp. 60-62 (1976)
http://dx.doi.org/10.1364/JOSA.66.000060


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Abstract

Dynamic programming applied to geometrical optics leads to a nonlinear partial differential equation for the path taken by a light ray in any optical system.

© 1976 Optical Society of America

Citation
Arturo Noyola-Isgleas, "Geometrical optics and dynamic programming," J. Opt. Soc. Am. 66, 60-62 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-1-60


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References

  1. R. E. Bellman, Dynamic Programming (Princeton U. P., Princeton, N. J., 1957).
  2. R. E. Bellman and S. E. Dreyfus, Applied Dynamic Programming (Princeton U. P., Princeton, N. J., 1962).
  3. R. E. Belman and R. Kalaba, Dynamic Programming and Modern Control Theory (Academic, New York, 1965).
  4. Alejandro Medina, private communication.
  5. A. Noyola-Isgleas, Aplicación de la teoría Control a la Optica Geométrica, Thesis, Fac. Ciencias, U. N. A. M. México, D. F. (1968).
  6. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).
  7. H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations (Van Nostrand, London, 1966).

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