Abstract

The partially coherent imaging of a three-dimensional object is described by introducing Volterra-series representations of the mutual intensity and the image intensity. According to the Wiener theory of nonlinear systems, an optimal analysis is then achieved by defining generalized Wiener G functional (GWGF’s) that characterize the partially coherent transfer of the mutual spectral density and the image spectral density. These functionals are thus expanded into series of orthogonal functions in order to facilitate the computation, and permit the identification, of the GWGF kernels. The bilinear properties of partially coherent imaging are shown to be solved within the framework of linear and tensor algebra by involving the image spectral density vector, the mutual spectral density matrix, and characteristic matrices and tensors of the imaging system.

© 1990 Optical Society of America

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