Abstract

The mutual intensity function at a distance from a spatially partially coherent beam wave source is calculated including the effects of intervening atmospheric turbulence using the extended Rayleigh–Sommerfeld integral technique. The source spatial coherence function consists of a coherent contribution and a Schell-model partially coherent contribution simulating the random phase distortion of a coherent curved beam wave resulting from rough-surface reflection or diffuser transmission. The calculated mutual intensity function consists of two Schell-model coherence functions having differing amplitude radii, intensities, coherence length, and phase front curvatures. Calculated results for the special case of a perfectly coherent beam wave agree with previous numerical calculations using the Markov approximation of the parabolic wave equation in both weak and strong turbulence. Graphical results illustrate the effects of the source coherence parameters and turbulence on the beam properties at a distance.

© 1980 Optical Society of America

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