Numerical resolution of an electromagnetic inverse medium problem at fixed frequency

Abstract : The aim of this paper is to solve numerically the inverse problem of determining the complex refractive index of an electromagnetic medium from partial boundary field measurements at a fixed frequency. The governing equations are the time-harmonic Maxwell equations formulated in electric field in a two-dimensional bounded domain. We express the inverse problem as the minimization of a cost function representing the difference between the measured and predicted fields. Our numerical reconstruction algorithm combines the BFGS method and an iterative process, called the Adaptive Eigenspace Inversion. The unknown complex coefficient is expanded in terms of eigenfunctions of an elliptic operator. Both the eigenspace and the mesh are iteratively adapted during the minimization procedure. Numerical experiments illustrate the performance of the reconstruction for various configurations.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01374490
Contributeur : Maya De Buhan <>
Soumis le : vendredi 30 septembre 2016 - 14:47:31
Dernière modification le : mardi 11 octobre 2016 - 13:26:40
Document(s) archivé(s) le : samedi 31 décembre 2016 - 15:40:17

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  • HAL Id : hal-01374490, version 1

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Maya De Buhan, Marion Darbas. Numerical resolution of an electromagnetic inverse medium problem at fixed frequency. 2016. <hal-01374490>

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