On the time-dependent parabolic wave equation

Arthur D. Gorman

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-9

Abstract:

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 we consider wave propagation in a restricted domain modelled by a parabolic wave equation whose properties vary both in space and in time. We develop a Wentzel-Kramers-Brillouin (WKB) formalism to obtain the asymptotic solution in noncaustic regions and modify the Lagrange manifold formalism to obtain the asymptotic solution near caustics. Associated wave phenomena are also considered.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:290527

DOI: 10.1155/S016117120210915X

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