Time reversal effects in random scattering media on superresolution, shower curtain effects, and backscattering enhancement

Abstract

In this paper, we present analytical theories of the first and second moments of the time-reversed pulse which are obtained by the second- and the fourth-order moments of stochastic Green's functions in random media. The theories are based on the use of parabolic approximations, two-frequency mutual coherence function, and the circular complex Gaussian assumptions. Several effects are discussed including the superresolution, the coherence length, backscattering enhancement, the dependence on the optical depth, the shower curtain effect, and the bandwidth. Copyright 2008 by the American Geophysical Union.