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

Coherent optical feedback for the analog solution of partial differential equations

Jack Cederquist and Sing H. Lee
J. Opt. Soc. Am. 70(8) 944-953 (1980)

Integral-equation solution using coherent optical feedback

Jack Cederquist
J. Opt. Soc. Am. 71(6) 651-655 (1981)

Dead-time-modified photocount mean and variance for chaotic radiation

Giovanni Vannucci and Malvin Carl Teich
J. Opt. Soc. Am. 71(2) 164-170 (1981)

Analysis of sampling-pattern dependence in time-sequential sampling of spatiotemporal signals

J. P. Allebach
J. Opt. Soc. Am. 71(1) 99-105 (1981)

Transfer function of spectroscopic systems using a sinusoidally modulated spectrum

H. Fujiwara
J. Opt. Soc. Am. 71(3) 238-242 (1981)