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Existence conditions for two-pupil synthesis of bipolar incoherent point-spread functions

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Abstract

Although methods for realizing a bipolar point-spread function using a spatially incoherent system are known, the conditions ensuring the feasibility of such a bipolar synthesis have not been completely addressed. A set of necessary and sufficient conditions on the bipolar point-spread function and its associated bias is presented. The zeros of the bipolar point-spread function are also investigated and used to establish sufficient conditions for the existence of a bipolar synthesis. A method of constructing bias functions using these sufficient conditions is presented. Several examples of bias construction are considered.

© 1986 Optical Society of America

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