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Optical Filter Synthesis by Holographic Methods

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Abstract

By use of a recently developed formulation of scalar diffraction theory, any complex amplitude filter can be considered as a generalized zone plate. By placing sources having suitable amplitude and phase characteristics at the foci, we can reconstruct the filter function in the pupil plane. The amplitudes of the sources are related in a simple way to the Fourier-series expansion of the pupil function. The techniques of holography can be used to record complex-amplitude filters on photographic film. If three-beam holography is used and if the filter function is real, only real sources are needed.

© 1968 Optical Society of America

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