Abstract
It has recently been conjectured that the observed statistical properties of light scattered by turbulent media arise from bunching of scattering centres. This simple picture is shown to be inconsistent with the smoothly varying gaussian model commonly adopted for the wavefront distortions introduced by a rough surface or phase screen. An alternative random function which does exhibit bunching is investigated with a view to modelling aspects of multiscale systems. The associated autocorrelation function exhibits a power-law regime extending between characteristic inner and outer scales, and this feature is reflected in the behaviour of the power spectrum for a certain range of parameter values.

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