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

Houssem Haddar (1) , Alexander Konschin (2)

1 DeFI - Shape reconstruction and identification
2 Universität Bremen

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.

Domaines: Analyse numérique [cs.NA]

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⟩