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Expansion of image interaction by the eigenfunction of the transmission cross coefficient to show the interaction between features

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Abstract

This paper presents a method for evaluating the image interaction of two object patterns of arbitrary shape in partially coherent imaging. The interaction is shown to be the interference of the eigenfunctions of the transmission cross coefficient at the image plane convolved with each of the object patterns. For two arbitrary patterns, the ith eigenfunction convolved with one object pattern interferes only with the ith eigenfunction convolved with the second object pattern. This method is useful for understanding how object feature shapes influence image interactions, and examples are simulated to evaluate the method. A method to determine constructive and destructive interference areas is also introduced.

© 2010 Optical Society of America

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