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Communication Dans Un Congrès Année : 2023

A robust inverse scattering method based on shape optimization

Résumé

In this work, we develop a robust method to retrieve the shape of a metallic object from partial electromagnetic measurements containing noise. The numerical resolution of the inverse problem is tackled through parametric shape optimization. To make the method robust, the expectation of the Kohn-Vogelius cost function is minimized here: the key point is to use the so-called Karhunen-Loève expansion in order to obtain an explicit deterministic shape gradient. Then, the optimization problem is solved using a Nesterov gradient scheme. Numerical tests are provided to highlight the advantages and the efficiency of the proposed method.
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Dates et versions

hal-04282123 , version 1 (13-11-2023)

Identifiants

  • HAL Id : hal-04282123 , version 1

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Thomas Bonnafont, Fabien Caubet. A robust inverse scattering method based on shape optimization. 2023 IEEE Conference on Antenna Measurements and Applications (CAMA), Nov 2023, Genoa, Italy. ⟨hal-04282123⟩
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