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Journal Articles Communications in Mathematical Sciences Year : 2022

Design of a mode converter using thin resonant ligaments

Abstract

The goal of this work is to design an acoustic mode converter. More precisely, the wave number is chosen so that two modes can propagate. We explain how to construct geometries such that the energy of the modes is completely transmitted and additionally the mode 1 is converted into the mode 2 and conversely. To proceed, we work in a symmetric waveguide made of two branches connected by two thin ligaments whose lengths and positions are carefully tuned. The approach is based on asymptotic analysis for thin ligaments around resonance lengths. We also provide numerical results to illustrate the theory.
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Dates and versions

hal-03141128 , version 1 (15-02-2021)
hal-03141128 , version 2 (22-12-2021)

Identifiers

Cite

Lucas Chesnel, Jérémy Heleine, Sergei A Nazarov. Design of a mode converter using thin resonant ligaments. Communications in Mathematical Sciences, 2022, 20 (2), pp.425-445. ⟨10.4310/CMS.2022.v20.n2.a6⟩. ⟨hal-03141128v2⟩
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