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Universal self-similar asymptotic behavior of optical bump spreading in random medium atop incoherent background

Xiaofei Li, Sergey A. Ponomarenko, Zhiheng Xu, Fei Wang, Yangjian Cai, and Chunhao Liang

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Abstract

We demonstrate theoretically that the average spatial intensity profile of any partially coherent optical beam, composed of a finite-power bright intensity bump atop a fluctuating background, evolves into a universal self-similar Gaussian shape upon long-term propagation in a statistically homogeneous, isotropic linear random medium. The result depends neither on the degree of the background spatial coherence nor on the strength of the medium turbulence. To our knowledge, this is the first demonstration of universal self-similar asymptotics in linear random media.

© 2020 Optical Society of America

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