Numerical reconstruction of electromagnetic inclusions in three dimensions
Résumé
This paper is concerned with the reconstruction of electromagnetic inclusions in a three-dimensional bounded domain by boundary measurements. An accurate and stable reconstruction method is presented to solve the associated inverse problem. The approach consists of two main steps: (1). At low frequency, a MUltiple SIgnal Classification (MUSIC) algorithm is used to obtain the locations of inclusions, which serve as an initial guess for reconstructions at higher frequencies; (2). A continuation method based on multiple frequency data is then applied to recover the shapes of inclusions accurately. Numerical examples are provided to illustrate the effectiveness of the approach.
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