An asymptotic theory of guided waves (II)

P. Rosenau*, B. Rulf

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A method of obtaining high frequency asymptotic expansions for time harmonic waves propagating in non uniform waveguides is presented. Both ordinary asymptotic expansions, which are not valid near turning points, and uniform expansions which are valid across turning points are presented for various types of boundary conditions. The correspondance between these expansions and the asymptotic expansion of the exact solution of a "canonical problem" is shown. A numerical example demonstrating the usefulness of this method is presented. This paper is a sequel to reference [1].

Original languageEnglish
Pages (from-to)89-108
Number of pages20
JournalJournal of Engineering Mathematics
Volume6
Issue number2
DOIs
StatePublished - Apr 1972

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