artículo
The Helmholtz equation in a locally perturbed half-plane with passive boundary
Date
2006Registration in:
10.1093/imamat/hxl023
0272-4960
WOS:000242474200004
Author
Duran, Mario
Muga, Ignacio
Nedelec, Jean Claude
Institutions
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.