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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 8 — Aug. 1, 1980
  • pp: 944–953

Coherent optical feedback for the analog solution of partial differential equations

Jack Cederquist and Sing H. Lee  »View Author Affiliations


JOSA, Vol. 70, Issue 8, pp. 944-953 (1980)
http://dx.doi.org/10.1364/JOSA.70.000944


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Abstract

A confocal Fabry-Perot interferometer is used to produce feedback within an optical processor. The resulting confocal feedback system (CFS) has a complex-valued feedback transfer function and performs analog solution of partial differential equations (PDE’s). The CFS is interfaced to a microcomputer via a laser scanner and video electronics to create a hybrid processor, thus taking a major step toward the practical use of the CFS for the high-speed solution of PDE’s. Solutions to the three types of second-order linear PDE’s in two dimensions—elliptic, hyperbolic, and parabolic—were obtained experimentally and analyzed.

© 1980 Optical Society of America

Citation
Jack Cederquist and Sing H. Lee, "Coherent optical feedback for the analog solution of partial differential equations," J. Opt. Soc. Am. 70, 944-953 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-8-944

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