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Journal Articles Inverse Problems Year : 2023

Analysis of sampling methods for imaging a periodic layer and its defects

Abstract

We revisit the differential sampling method introduced in [9] for the identification of a periodic domain and some local perturbation. We provide a theoretical justification of the method that avoids assuming that the local perturbation is also periodic. Our theoretical framework uses functional spaces with continuous dependence with respect to the Floquet-Bloch variable. The corner stone of the analysis is the justification of the Generalized Linear Sampling Method in this setting for a single Floquet-Bloch mode.
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Dates and versions

hal-03876852 , version 1 (28-11-2022)
hal-03876852 , version 2 (03-02-2023)
hal-03876852 , version 3 (19-03-2023)

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Cite

Yosra Boukari, Houssem Haddar, Nouha Jenhani. Analysis of sampling methods for imaging a periodic layer and its defects. Inverse Problems, 2023, 39 (5), pp.055001. ⟨10.1088/1361-6420/acc19a⟩. ⟨hal-03876852v3⟩
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