Abstract

A confocal feedback system (CFS) has been modified in three ways to include space variance, time sampling, and a second feedback loop. The space-variant system performs analog solution of partial differential equations (PDE’s) with variable coefficients. The time-sampling system solves PDE’s in three dimensions. The CFS with a second feedback loop has a more flexible feedback transfer function and can solve an extended range of PDE’s. Finally, a combination of time sampling and a second feedback loop can solve four-dimensional problems. Experimental results verifying the abilities of each of these new confocal feedback systems have been obtained.

© 1981 Optical Society of America

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  1. J. Cederquist and S. H. Lee, "Coherent optical feedback for the analog solution of partial differential equations," J. Opt. Soc. Am. 70, 944–953 (1980).
  2. J. F. Walkup, "Space-variant coherent optical processing," Opt. Eng. 19, 339–346 (1980).
  3. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), pp. 681–682.
  4. Ref. 3, pp. 688–689.
  5. H. Soodak, ed., Reactor Handbook (Interscience, New York, 1962), Vol. III, Part A, p. 138.
  6. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1966), p. 607.
  7. E. Merzbacher, Quantum Mechanics (Wiley, New York, 1961), p. 222.
  8. J. Götz et al., "Solving differential equations with TV-optical feedback," in Proceedings of the International Optical Computing Conference (Institute of Electrical and Electronics Engineers, New York, 1978), pp. 179–180.
  9. Ref. 3, pp. 842–846, 893.
  10. R. J. Marks II, "Coherent optical extrapolation of 2-D bandlimited signals: processor theory," Appl. Opt. 19, 1670–1672 (1980).
  11. Ref. 6, p. 382.

1980 (3)

Arfken, G.

G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1966), p. 607.

Cederquist, J.

Feshbach, H.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), pp. 681–682.

Götz, J.

J. Götz et al., "Solving differential equations with TV-optical feedback," in Proceedings of the International Optical Computing Conference (Institute of Electrical and Electronics Engineers, New York, 1978), pp. 179–180.

Lee, S. H.

Marks II, R. J.

Merzbacher, E.

E. Merzbacher, Quantum Mechanics (Wiley, New York, 1961), p. 222.

Morse, P. M.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), pp. 681–682.

Walkup, J. F.

J. F. Walkup, "Space-variant coherent optical processing," Opt. Eng. 19, 339–346 (1980).

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Opt. Eng. (1)

J. F. Walkup, "Space-variant coherent optical processing," Opt. Eng. 19, 339–346 (1980).

Other (8)

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), pp. 681–682.

Ref. 3, pp. 688–689.

H. Soodak, ed., Reactor Handbook (Interscience, New York, 1962), Vol. III, Part A, p. 138.

G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1966), p. 607.

E. Merzbacher, Quantum Mechanics (Wiley, New York, 1961), p. 222.

J. Götz et al., "Solving differential equations with TV-optical feedback," in Proceedings of the International Optical Computing Conference (Institute of Electrical and Electronics Engineers, New York, 1978), pp. 179–180.

Ref. 3, pp. 842–846, 893.

Ref. 6, p. 382.

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