Abstract
We apply the two-scale expansion developed previously to solve the equation governing the propagation of the coherence function in a random medium with a mean speed-of-sound profile. We obtain a formula for the vertical intensity distribution, resulting from an acoustic beam propagating in a statistically homogeneous, isotropic random medium with channel velocity profile. We use this formula to calculate the intensity distribution in the vicinity of a caustic in two limiting cases: weak scattering and strong scattering. We present a numerical example.
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