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Journal Articles Inverse Problems and Imaging Year : 2022

Inside-Outside Duality for Modified Transmission Eigenvalues

Abstract

We introduce a new modified spectrum associated with the scattering from penetrable objects using the modified background technique. We prove that the inside-outside duality method allows to reconstruct this spectrum from full aperture far field measurements at a fixed frequency. The method is numerically tested and validated on some synthetic examples.
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hal-03876859 , version 1 (28-11-2022)
hal-03876859 , version 2 (16-01-2023)

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Houssem Haddar, Moez Khenissi, Marwa Mansouri. Inside-Outside Duality for Modified Transmission Eigenvalues. Inverse Problems and Imaging , 2022, 17 (4), pp.798-816. ⟨10.3934/ipi.2023004⟩. ⟨hal-03876859v2⟩
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