The Helmholtz equation in a locally perturbed half-plane with passive boundary

Resumen

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 Durán et al. (2005, The Helmholtz equation with impedance in a half-plane.

Autores: Durán, M., Muga, I., Nédélec, J.

Journal: IMA Journal of Applied Mathematics

Journal Volume: 71

Journal Issue: 6

Journal Page: 853-876

Tipo de publicación: ISI

Fecha de publicación: 2006

Topics: Helmholtz equation on half-plane, Green's function, radition condition

DOI: https://doi.org/10.1093/imamat/hxl023

URL de la publicación: https://academic.oup.com/imamat/article-abstract/71/6/853/693770/The-Helmholtz-equation-in-a-locally-perturbed-half