An approach to describing wide-frequency-spectrum waves propagating in a randomly inhomogeneous medium is developed. A model inhomogeneous layer in the form of an infinitely thin phase-changing screen is considered. As an extension to a finite-thickness layer, a Burgers-type equation for the average field, which allows one to simultaneously take account of nonlinear effects is obtained. In the phase-changing screen approximation, the averaged profiles and statistical characteristics of the peak pressure of an $N\!$-shaped shock pulse at the shock wave front are determined.
Department of Acoustics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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