Article Dans Une Revue SIAM Journal on Applied Mathematics Année : 2024

Layer stripping approach to reconstruct shape defects in waveguides using locally resonant frequencies

Résumé

This article present a new method to reconstruct slowly varying width defects in 2D waveguides using one-side section measurements at locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide up to a "cut-off" position. In this particular point, the local width of the waveguide can be recovered. Given multi-frequency measurements taken on a section of the waveguide, we perform an efficient layer stripping approach to recover shape variations slice by slice. It provides an L infinite-stable method to reconstruct the width of a slowly monotonous varying waveguide. We validate this method on numerical data and discuss its limits.

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hal-03897761 , version 1 (14-12-2022)

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Angéle Niclas, Laurent Seppecher. Layer stripping approach to reconstruct shape defects in waveguides using locally resonant frequencies. SIAM Journal on Applied Mathematics, 2024, 84 (1), pp.75-96. ⟨10.1137/23M1546336⟩. ⟨hal-03897761v1⟩
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