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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)

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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

Moshe Nazarathy and Joseph Shamir, "Holography described by operator algebra," J. Opt. Soc. Am. 71, 529-541 (1981)

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  1. M. Nazarathy and J. Shamir, "Fourier optics described by operator algebra," J. Opt. Soc. Am. 70, 150–159 (1980).
  2. A. Vander Lugt, "Operational notation for the analysis and synthesis of optical data processing systems," Proc. IEEE 54, 1055–1063 (1966).
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