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Statistics of the hot spots of smoothed beams produced by random phase plates revisited
1999
Physics of Plasmas
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This paper revisits and corrects the statistical theory of hot spots of speckle patterns such as those produced by a random phase plate. Analytical expressions are derived which are sensitively different from the previous results of Rose and DuBois ͓Phys. Fluids B 5, 590 ͑1993͔͒. The departure essentially originates from a careful approach which takes into account the fact that the fields are complex-valued, while the standard mathematical theory deals with the maxima of real-valued Gaussian
doi:10.1063/1.873413
fatcat:kg7kgjp7ljfgpa2ojszvyundzq