Skip to Main content Skip to Navigation
Journal articles

A volume integral method for solving scattering problems from locally perturbed infinite periodic layers

Houssem Haddar 1 Thi Phong Nguyen 1
1 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : We investigate the scattering problem for the case of locally perturbed periodic layers in $\R^d$, $d=2,3$. Using the Floquet-Bloch transform in the periodicity direction we reformulate this scattering problem as an equivalent system of coupled volume integral equations. We then apply a spectral method to discretize the obtained system after periodization in the direction orthogonal to the periodicity directions of the medium. The convergence of this method is established and validating numerical results are provided.
Document type :
Journal articles
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/hal-01374892
Contributor : Houssem Haddar Connect in order to contact the contributor
Submitted on : Sunday, October 2, 2016 - 12:26:22 PM
Last modification on : Wednesday, October 27, 2021 - 7:04:17 AM
Long-term archiving on: : Tuesday, January 3, 2017 - 1:31:31 PM

File

TPNHH-2016.pdf
Files produced by the author(s)

Identifiers

`

Citation

Houssem Haddar, Thi Phong Nguyen. A volume integral method for solving scattering problems from locally perturbed infinite periodic layers. Applicable Analysis, Taylor & Francis, 2016, pp.29. ⟨10.1080/00036811.2016.1221942⟩. ⟨hal-01374892⟩

Share

Metrics

Record views

530

Files downloads

621