For incoherent (speckled) initial waves, the scintillation index in branched flow is given by closed formulas in terms of a single dimensionless parameter X_o, and its maximum depends only on the initial correlation radius, not on the medium correlation length.
Long distance propagation of light in random media with partially coherent sources
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Optical beam propagation in random media is characterized by familiar speckle patterns generated by intricate interference effects. Such patterns may be modified and possibly attenuated for partially coherent incident beam profiles. In the weak-coupling regime of the It\^o-Schr\"odinger paraxial model of wave propagation, we show how the spatio-temporal statistics of the partially coherent beams interact with the statistics of the random medium to enhance or suppress scintillation effects.
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Stochastic Dynamics of Incoherent Branched Flow
For incoherent (speckled) initial waves, the scintillation index in branched flow is given by closed formulas in terms of a single dimensionless parameter X_o, and its maximum depends only on the initial correlation radius, not on the medium correlation length.