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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 5 — May. 1, 1981
  • pp: 529–541

Holography described by operator algebra

Moshe Nazarathy and Joseph Shamir  »View Author Affiliations


JOSA, Vol. 71, Issue 5, pp. 529-541 (1981)
http://dx.doi.org/10.1364/JOSA.71.000529


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Abstract

The operator description of Fourier optics is extended and applied to holography. The existing lens models for ideal holographic processes appear as a self-evident intermediate result; generalization to include apertures, recording- material modulation transfer function, and extended source effects is straightforward. The extended source effect is generally shown to be equivalent to a modification of the actual holographic apertures. The final result is a compact expression for the description of the holographically reconstructed field distribution at an arbitrary plane. A useful, comprehensive list of operator relations is given in two appendixes.

© 1981 Optical Society of America

Citation
Moshe Nazarathy and Joseph Shamir, "Holography described by operator algebra," J. Opt. Soc. Am. 71, 529-541 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-5-529

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