Factorization Method for Imaging a Local Perturbation in Inhomogeneous Periodic Layers from Far Field Measurements - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems and Imaging Year : 2020

Factorization Method for Imaging a Local Perturbation in Inhomogeneous Periodic Layers from Far Field Measurements

Abstract

We analyze the Factorization method to reconstruct the geometry of a local defect in a periodic absorbing layer using almost only incident plane waves at a fixed frequency. A crucial part of our analysis relies on the consideration of the range of a carefully designed far field operator, which characterizes the geometry of the defect. We further provide some validating numerical results in a two dimensional setting.
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Dates and versions

hal-02416496 , version 1 (17-12-2019)

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Houssem Haddar, Alexander Konschin. Factorization Method for Imaging a Local Perturbation in Inhomogeneous Periodic Layers from Far Field Measurements. Inverse Problems and Imaging , 2020, 14 (1), pp.133-152. ⟨10.3934/ipi.2019067⟩. ⟨hal-02416496⟩
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