Generalized causality constraint based on duality symmetry reveals untapped potential of sound absorption

Fuente: arXiv
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Autori principali: Qu, Sichao, Yang, Min, Huang, Sibo, Liu, Shuohan, Dong, Erqian, Li, Helios Y., Sheng, Ping, Abrahams, I. David, Fang, Nicholas X.
Natura: Preprint
Pubblicazione: 2025
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author Qu, Sichao
Yang, Min
Huang, Sibo
Liu, Shuohan
Dong, Erqian
Li, Helios Y.
Sheng, Ping
Abrahams, I. David
Fang, Nicholas X.
author_facet Qu, Sichao
Yang, Min
Huang, Sibo
Liu, Shuohan
Dong, Erqian
Li, Helios Y.
Sheng, Ping
Abrahams, I. David
Fang, Nicholas X.
contents Causality constraints are known to bind sound absorption to a limit that can only be achieved by optimizing the system bandwidth for a specific material thickness. This limit is defined on the assumption of a one-port system, generally causing duality symmetry to be overlooked. Here, we define a generalized causality constraint of sound absorption by investigating reflection and transmission of a two-port hybrid monopole-dipole resonator. With our theory, we show that the absorption limit is approached by relying on the well-established critical coupling as well as by matching effective compressibility and density. We experimentally show that the designed resonator absorbance follows the duality symmetry condition embodied in the large bandwidth reported. A comparison with a traditional foam liner and other competitive works further validates our findings, confirming an intrinsic connection between duality symmetry and scattering causality. Our results untap unexplored absorption potential in broadband acoustic metamaterials.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18740
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized causality constraint based on duality symmetry reveals untapped potential of sound absorption
Qu, Sichao
Yang, Min
Huang, Sibo
Liu, Shuohan
Dong, Erqian
Li, Helios Y.
Sheng, Ping
Abrahams, I. David
Fang, Nicholas X.
Applied Physics
Classical Physics
Causality constraints are known to bind sound absorption to a limit that can only be achieved by optimizing the system bandwidth for a specific material thickness. This limit is defined on the assumption of a one-port system, generally causing duality symmetry to be overlooked. Here, we define a generalized causality constraint of sound absorption by investigating reflection and transmission of a two-port hybrid monopole-dipole resonator. With our theory, we show that the absorption limit is approached by relying on the well-established critical coupling as well as by matching effective compressibility and density. We experimentally show that the designed resonator absorbance follows the duality symmetry condition embodied in the large bandwidth reported. A comparison with a traditional foam liner and other competitive works further validates our findings, confirming an intrinsic connection between duality symmetry and scattering causality. Our results untap unexplored absorption potential in broadband acoustic metamaterials.
title Generalized causality constraint based on duality symmetry reveals untapped potential of sound absorption
topic Applied Physics
Classical Physics
url https://arxiv.org/abs/2503.18740