High-frequency scattering in a certain stratified medium: the three-part problem-Reference-Cited by-同舟云学术

High-frequency scattering in a certain stratified medium: the three-part problem

Published:1977-09-15 Issue:1686 Volume:356 Page:315-343
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

The high-frequency scattering of scalar waves by a plane boundary in a certain two-dimensional stratified medium is considered. On the boundary, it is assumed that the impedance takes three different values. A high-frequency approximation to the solution is found for certain positions of source and point of observation; it is proved rigorously that the approximation is asymptotic to the exact field in the limit of high frequency. Physically, the results imply that energy propagates by means of Keller’s creeping modes, mode conversion occurring at the points of impedance discontinuity.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1977.0136

Reference15 articles.

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