Communication Dans Un Congrès Année : 2025

Design of passive acoustic liner with targeted absorption spectrum and compact volume in one-dimensional transmission problem

Résumé

We investigate the design of passive acoustic liners for targeted absorption in a one-dimensional (1D) transmission problem. The liner consists of an array of Helmholtz resonators. It can be demonstrated that, fundamental limitations imposed by causality and stability leads to sum rules of the 1D system and establish a direct relationship between the transmission spectrum and the total volume of the resonators. Unlike the 1D reflection problem, where the reflection spectrum determines the theoretical minimum total volume, sum rules derived for the transmission problem reveal that the total volume is fixed when the transmission spectrum of the liner is specified. This finding highlights that among all liner designs achieving the same targeted absorption spectrum, the reflectionless design (characterized by minimum reflectance and maximum transmittance) minimizes the total volume. The concept is validated through specific examples involving both single-resonator and multi-resonator configurations.

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Dates et versions

hal-05365750 , version 1 (14-11-2025)

Identifiants

  • HAL Id : hal-05365750 , version 1

Citer

Yang Meng, Thomas Humbert, Vicent Romero-García, Jean-Philippe Groby, Gwenael Gabard. Design of passive acoustic liner with targeted absorption spectrum and compact volume in one-dimensional transmission problem. CFA 2025 - 17e Congrès Français d'Acoustique, Société Française d'Acoustique (SFA), Apr 2025, Paris, France. ⟨hal-05365750⟩
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