The Helmholtz equation in a locally perturbed half-plane with passive boundary
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Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
OXFORD UNIV PRESS
Abstract
In this article, we study the existence and uniqueness of outgoing solutions for the Helmholtz equation in locally perturbed half-planes with passive boundary. We establish an explicit outgoing radiation condition which is somewhat different from the usual Sommerfeld's one due to the appearance of surface waves. We work with the help of Fourier analysis and a half-plane Green's function framework. This is an extended and detailed version of the previous article Duran et al.
Description
Keywords
Helmholtz equation on half-plane, Green's function, radition condition, HOMOGENEOUS IMPEDANCE PLANE, GREEN-FUNCTION, PROPAGATION, SPACE