Summary
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].
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References
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This paper is based on a thesis submitted by the first author in partial fulfillment of the requirements for the degree of M.Sc. in Engineering Science at Tel Aviv University.
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Rosenau, P., Rulf, B. An asymptotic theory of guided waves (II). J Eng Math 6, 89–108 (1972). https://doi.org/10.1007/BF01535093
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DOI: https://doi.org/10.1007/BF01535093