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

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References

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  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).

Bellman, R. E.

R. E. Bellman, Dynamic Programming (Princeton U. P., Princeton, N. J., 1957).

R. E. Bellman and S. E. Dreyfus, Applied Dynamic Programming (Princeton U. P., Princeton, N. J., 1962).

Belman, R. E.

R. E. Belman and R. Kalaba, Dynamic Programming and Modern Control Theory (Academic, New York, 1965).

Dreyfus, S. E.

R. E. Bellman and S. E. Dreyfus, Applied Dynamic Programming (Princeton U. P., Princeton, N. J., 1962).

Kalaba, R.

R. E. Belman and R. Kalaba, Dynamic Programming and Modern Control Theory (Academic, New York, 1965).

Luneburg, R. K.

R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).

Noyola-Isgleas, A.

A. Noyola-Isgleas, Aplicación de la teoría Control a la Optica Geométrica, Thesis, Fac. Ciencias, U. N. A. M. México, D. F. (1968).

Rund, H.

H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations (Van Nostrand, London, 1966).

Other (7)

R. E. Bellman, Dynamic Programming (Princeton U. P., Princeton, N. J., 1957).

R. E. Bellman and S. E. Dreyfus, Applied Dynamic Programming (Princeton U. P., Princeton, N. J., 1962).

R. E. Belman and R. Kalaba, Dynamic Programming and Modern Control Theory (Academic, New York, 1965).

Alejandro Medina, private communication.

A. Noyola-Isgleas, Aplicación de la teoría Control a la Optica Geométrica, Thesis, Fac. Ciencias, U. N. A. M. México, D. F. (1968).

R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).

H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations (Van Nostrand, London, 1966).

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