# 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}, }