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Triplator—signal processor based on a rotational shearing interferometer

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Abstract

A Fourier transform (FT) hologram of an object illuminated by spatially incoherent light can be recorded by a rotational shearing interferometer. Reconstruction in a coherent 2-f system leads to an integral operation, involving three complex functions, which we shall call triplation and define by the relation The triplation has some interesting characteristics. For example, its FT is also a triplation involving the FTs of the original functions. Other theoretical aspects of this novel process will be discussed, and experimental implementation will be presented for the case in which two of the functions involved are complex spatial functions, while the third is the coherence function of the illuminating source.

© 1992 Optical Society of America

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