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Journal Articles Wave Motion Year : 2015

Underwater topography invisible for surface waves at given frequencies

Abstract

We consider scattering of surface waves modelled by the linear water wave equation in an unbounded two-dimensional domain of finite depth, at a given frequency and a given incidence. Using asymptotic analysis for small perturbations of the bottom shape, we build a fixed-point equation whose unique solution is a shape which cannot be detected by a distant observer. The method works at any incidence except π/4.
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Dates and versions

hal-01114632 , version 1 (09-02-2015)

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Anne-Sophie Bonnet-Ben Dhia, Sergei Nazarov, Jari Taskinen. Underwater topography invisible for surface waves at given frequencies. Wave Motion, 2015, 57, ⟨10.1016/j.wavemoti.2015.03.008⟩. ⟨hal-01114632⟩
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