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

Fourier optics described by operator algebra

M. Nazarathy and J. Shamir
J. Opt. Soc. Am. 70(2) 150-159 (1980)

Static and dynamic behavior of speckle patterns described by operator algebra

Y. Fainman, J. Shamir, and E. Lenz
Appl. Opt. 20(20) 3526-3538 (1981)

Cylindrical lens systems described by operator algebra

Joseph Shamir
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Transmission electron microscopy of weakly scattering objects described by operator algebra

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Operator methods in physical optics

David Stoler
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