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Use of complex frequency plane to design broadband and sub-wavelength absorbers

Abstract : The reflection of sound of frequency below 1 kHz, by a rigid-backed structure that contains subwavelength resonators is studied in this work. In particular, only single mode reflected waves are considered, an approximation which is accurate in this low frequency regime. A method of analysis of absorption that uses the structure of the reflection coefficient in the complex frequency plane is proposed. In the absence of losses, the reflection coefficient supports pairs of poles and zeros that are complex conjugate and which have imaginary parts linked to the energy leakage by radiation. When losses are introduced and balanced to the leakage, the critical coupling condition is satisfied and total absorption is obtained. Examples of a slot resonator and of multiple Helmholtz resonators are analyzed to obtain both narrow and broadband total absorption.
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Contributeur : Olivier Richoux <>
Soumis le : jeudi 12 décembre 2019 - 12:12:05
Dernière modification le : jeudi 10 septembre 2020 - 13:28:43

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V. Romero-Garcia, G. Theocharis, Olivier Richoux, V. Pagneux. Use of complex frequency plane to design broadband and sub-wavelength absorbers. Journal of the Acoustical Society of America, Acoustical Society of America, 2016, 139 (6), pp.3395-3403. ⟨10.1121/1.4950708⟩. ⟨hal-02406999⟩



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