Abstract

Sufficient conditions for the application of the Fresnel approximation of the two-dimensional Kirchhoff diffraction formula are derived for spatially band-limited input signals diffracted by a slit. The method used is an extension of the one given by Papoulis, who derives conditions only for input signals that are sufficiently smooth. For band-limited input signals, the Fresnel region can have an upper limit for the axial extent, depending on the maximum frequency in the input signal.

© 1975 Optical Society of America

Fresnel’s and Snell’s laws for the multimode optical waveguide of circular cross section

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Diffraction theory of optical scintillations due to turbulent layers

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Point-ahead limitation on reciprocity tracking*

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