Pré-Publication, Document De Travail Année : 2025

Averaged Steklov Eigenvalues, Inside Outside Duality and Application to Inverse Scattering

Résumé

We introduce a new family of artificial backgrounds corresponding to averaged impedance boundary conditions formulated in an abstract framework. These backgrounds are used to define a finite number of averaged Steklov eigenvalues, which are associated with inverse scattering problems from inhomogeneous media. We prove that these special eigenvalues can be determined from full-aperture, fixed-frequency far-fields using the inside-outside duality method. We then show and numerically demonstrate how this method can be used to reconstruct averaged values of the refractive index.

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hal-04911173 , version 1 (24-01-2025)

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  • HAL Id : hal-04911173 , version 1

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Lorenzo Audibert, Houssem Haddar, Fabien Pourre. Averaged Steklov Eigenvalues, Inside Outside Duality and Application to Inverse Scattering. 2025. ⟨hal-04911173⟩
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