Abstract

A generalization is given of the Green–Wolf complex scalar potential of electromagnetic theory to the stochastic domain using the spectral-representation theorem of Cramér–Kolmogorov. The power spectra of the energy density and of the energy-flow vector are obtained in terms of the power spectrum of the complex scalar potential and of the power spectrum of the gradient of the complex scalar potential. The principal results of the paper are given in Eqs. (4.9) and (4.13).

© 1963 Optical Society of America

Theory of the Coherency Matrix for Light of Arbitrary Spectral Bandwidth*

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