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Branch cut effects in optimally estimating a coherent diffracted field

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Abstract

In optical imaging systems that image coherently illuminated diffuse scattering objects, the complex field in both the object plane and the measurement plane of the object are described by a circularly complex random process1 with a spatial correlation function for the phase of the field given by2, where ko is the complex coherence factor3 in the measurement plane, and x and x are arbitrary positions in the measurement plane. The parameters γ and Ω depend solely on the complex coherence factor and so equation (1) depends only on the object’s ensemble statistics and does not model branch cut effects.

© 1998 Optical Society of America

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