On the time-dependent parabolic wave equation
Summary: One approach to the study of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave equation. Here, the author considers the wave propagation in a restricted domain modelled by a parabolic wave equation whose properties vary both in space and in time. He develops a Wentzel-Kramers-Brillouin (WKB) formalism to obtain an asymptotic solution in noncaustic regions and modifies the Lagrange manifold formalism to obtain an asymptotic solution near caustics. Associated wave phenomena are also considered.
scientific article; zbMATH DE number 1780424