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Statistics of the hot spots of smoothed beams produced by random phase plates revisited
Physics of Plasmas
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 Gaussiandoi:10.1063/1.873413 fatcat:kg7kgjp7ljfgpa2ojszvyundzq