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Field correlations within fluctuating nonradiating primary sources

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Abstract

In a paper published not long ago, field correlations within 3-D homogeneous primary sources were studied.1 It was found that if the source is also isotropic, the degree of spectral coherence of the field has, in general, a universal form that is independent of the actual form of the source-correlation function. We present results relating to some of the special cases for which the universal form does not hold. These represent limiting cases for large dimensions of nonradiating stochastic sources.2 We consider in detail a class of large nonradiating primary sources which are Bessel-correlated, and we derive explicit expressions for their field-correlation functions. We examine some consequences of these results. We find, in particular, that with increasing separation of the source points, the field correlations decrease more slowly than the source correlations.

© 1987 Optical Society of America

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