# Exact boundary conditions for periodic waveguides containing a local perturbation

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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^-
Document type :
Journal articles

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Submitted on : Friday, April 11, 2014 - 4:14:08 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

### Identifiers

• HAL Id : hal-00977852, version 1

### Citation

Patrick Joly, Jing-Rebecca Li, Sonia Fliss. Exact boundary conditions for periodic waveguides containing a local perturbation. Communications in Computational Physics, Global Science Press, 2006, 1 (6), pp.945-973. ⟨hal-00977852⟩

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