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Communication Dans Un Congrès Année : 2023

Inverse Scattering Using a Kohn-Vogelius Formulation and Shape Optimization Method

Résumé

This paper presents a method to retrieve the form of a metallic object given partial electromagnetic measurements. We propose a numerical resolution of this inverse problem based on a shape optimization method. More precisely, we aim to minimize the so-called Kohn-Vogelius functional, which is numerically more stable than the least squares functional, by computing its shape gradient. The optimization problem is then solved using a Nesterov inertial scheme to accelerate the descent algorithm. Numerical simulations in 2D are provided to highlight the efficiency of the proposed method.
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Dates et versions

hal-04123417 , version 1 (09-06-2023)

Identifiants

Citer

Thomas Bonnafont, Fabien Caubet. Inverse Scattering Using a Kohn-Vogelius Formulation and Shape Optimization Method. 2023 17th European Conference on Antennas and Propagation (EuCAP), Mar 2023, Florence, Italy. pp.1-5, ⟨10.23919/EuCAP57121.2023.10133032⟩. ⟨hal-04123417⟩
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