Signal propagation in two-layer medium with random large-scale inhomogeneities

A formula is derived for the average intensity of a signal propagated in a medium with a semitransparent layer and random large-scale inhomogeneities. A solution is obtained by the interference-integral method and the resulting formula is represented as an integral with respect to the sines of the partial-wave exit angles. The case in which the emitted pulse has a Gaussian form is examined as an example. Results of numerical modeling of the average signal intensity and the width of the semitransparency frequency band are given.