Model of the phase screen for nonlinear acoustic waves [atmosphere]

Abstract

Theoretical approach for the description of nonlinear acoustic waves transmitted through randomly inhomogeneous thin layer (phase screen) is presented. An exact analytical solutions of governing equations are obtained both for the spatial structure of the field behind the screen and for the temporal waveform. Using this model statistical characteristic of a single N-pulse having passed through the screen is studied. The influence of the random focusing and defocusing effect on the statistical properties of N-wave behind the screen is analyzed. Distribution functions for the shock amplitude, overpressure probability density, and ray convergency are presented. It is shown that the spatial modulation of the phase front affects the average characteristics of the field and causes the strong variations of the wave field parameters.