Skip to Main content Skip to Navigation
Reports

Computing estimates on material properties from transmission eigenvalues

Giovanni Giorgi 1, * Houssem Haddar 2
* Corresponding author
2 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This work is motivated by inverse scattering problems, those problems where one is interested in reconstructing the shape and the material properties of an inclusion from electromagnetic farfields measurements. More precisely we are interested in complementing the so called sampling methods, (those methods that enables one to reconstruct just the geometry of the scatterer), by providing estimates on the material properties. We shall use for that purpose the so-called transmission eigenvalues. Our method is based on reformulating the so-called interior transmission eigenvalue problem into an eigenvalue problem for the material coefficients. We shall restrict ourselves to the two dimensional setting of the problem and treat the cases of both TE and TM polarizations. We present a number of numerical experiments that validate our methodology for homogeneous and inhomogeneous inclusions and backgrounds. We also treat the case of a background with absorption and the case of scatterers with multiple connected components of different refractive indexes.
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download

https://hal.inria.fr/inria-00619232
Contributor : Houssem Haddar Connect in order to contact the contributor
Submitted on : Monday, September 5, 2011 - 6:23:41 PM
Last modification on : Saturday, November 21, 2020 - 10:00:09 AM
Long-term archiving on: : Tuesday, November 13, 2012 - 9:55:36 AM

File

RR-7729.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00619232, version 1

Collections

Citation

Giovanni Giorgi, Houssem Haddar. Computing estimates on material properties from transmission eigenvalues. [Research Report] RR-7729, INRIA. 2011. ⟨inria-00619232⟩

Share

Metrics

Record views

579

Files downloads

561