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Two-Dimensional Spatial Frequency Analysis of the Fraunhofer Hologram of a Small Opaque Sphere

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Abstract

The fact that a Fourier transform relationship exists between the front and back focal planes of a thin spherical lens can be used to obtain the power spectral distribution of two-dimensional holographic data. In particular, this form of optical data processing is considered for obtaining the spectral variation as a function of the recording distance of the holographic intensity distribution caused by illuminating an opaque sphere with plane waves. An approximate, closed form solution for the two-dimensional Fourier transform of this problem is derived.

© 1969 Optical Society of America

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