# Exact boundary conditions for periodic waveguides containing a local perturbation

2006
Publication type:
Paper in peer-reviewed journals
Journal:
Communications in Computational Physics, vol. 1(6), pp. 945-973
HAL:
Abstract:
We consider the solution of the Helmholtz equation $-\Delta u({\bf x}) - n({\bf x})^2\omega^2 u({\bf x}) = f({\bf x})$, ${\bf x}=(x,y)$, in a domain $\Omega$ which is infinite in $x$ and bounded in $y$. We assume that $f({\bf x})$ is supported in \$\Omega^0:={{\bf x}\in {\Omega} \; | a^-
BibTeX:
@article{Jol-Li-Fli-2006,
author={Patrick Joly and Jing-Rebecca Li and Sonia Fliss },
title={Exact boundary conditions for periodic waveguides containing a
local perturbation },
journal={Communications in Computational Physics },
year={2006 },
volume={1(6) },
pages={945--973},
}