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In this study, we experimentally investigate the application of a transient signal with complex frequencies to the absorption and transmission of sound waves. Indeed, the emission of a wave with an exponentially varying amplitude in time is…

Applied Physics · Physics 2025-03-18 Anis Maddi , Gaelle Poignand , Vassos Achilleos , Vincent Pagneux , Guillaume Penelet

Sound absorption is an important technological task in machine-building and civil engineering. Porous materials are traditionally used for these purposes, as they are neither ignitable nor hygroscopic and thus suitable for noise oppression,…

Applied Physics · Physics 2018-10-22 Arcady Finkelstein , Eugene Furman , Dmitry Husnullin , Borodianskiy Konstantin

The absorption of sound has great significance in many scientific and engineering applications, from room acoustics to noise mitigation. In this context, porous materials have emerged as a viable solution towards high absorption performance…

Applied Physics · Physics 2023-10-31 S. Kuznetsova , S. Deleplanque , B. Dubus , M. Miniaci

We derive the weak limit of a linear viscoacoustic model in an acoustic liner that is a chamber connected to a periodic repetition of elongated chambers -- the Helmholtz resonators. As model we consider the time-harmonic and linearized…

Analysis of PDEs · Mathematics 2020-03-30 Kersten Schmidt , Adrien Semin

Using the concepts of slow sound and of critical coupling, an ultra-thin acoustic metamaterial panel for perfect and omnidirectional absorption is theoretically and experimentally conceived in this work. The system is made of a rigid panel…

Classical Physics · Physics 2019-10-16 Noé Jiménez , Weichun Huang , Vicent Romero-García , Vincent Pagneux , Jean-Philippe Groby

This paper investigates a multilayered Helmholtz model in $\mathbb{R}^d$ ($d \ge 2$) characterized by concentric layers of materials with alternating positive and negative refractive indices. To overcome the loss of coercivity induced by…

Analysis of PDEs · Mathematics 2026-05-26 Wenjing Zhang , Yixian Gao

The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive answer is given, and it is shown that all that one has to…

Spectral Theory · Mathematics 2021-03-04 Jonathan Ben-Artzi , Marco Marletta , Frank Rösler

Sound field reconstruction refers to the problem of estimating the acoustic pressure field over an arbitrary region of space, using only a limited set of measurements. Physics-informed neural networks have been adopted to solve the problem…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-05 Stefano Damiano , Toon van Waterschoot

Supersonic pre-transitional boundary layers flowing over porous flat and concave surfaces are studied using numerical and asymptotic methods. The porous wall is composed of thin equally-spaced cylindrical microcavities. The flow is…

Fluid Dynamics · Physics 2023-06-29 Pierre Ricco , Ludovico Fossà

We propose a simple yet effective method for low-frequency broadband acoustic absorption. The absorber consists of two concentric space-coiling resonators with distinct resonance frequencies, with the inner resonator characterized by a…

Optics · Physics 2025-12-01 Keqiang Lyu , Mohamed Farhat , Ying Wu

We consider the problem of identifying the acoustic impedance of a wall surface from noisy pressure measurements in a closed room using a Bayesian approach. The room acoustics is modeled by the interior Helmholtz equation with impedance…

Numerical Analysis · Mathematics 2024-12-17 Nick Wulbusch , Reinhild Roden , Matthias Blau , Alexey Chernov

A generalized macroscopic nonlocal theory of sound propagation in rigid-framed porous media saturated with a viscothermal fluid has been recently proposed, which takes into account both temporal and spatial dispersion. Here, we consider…

Fluid Dynamics · Physics 2016-01-20 Navid Nemati , Anshuman Kumar , Denis Lafarge , Nicholas X. Fang

We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modelling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a frequency-explicit bound…

Analysis of PDEs · Mathematics 2022-09-20 Théophile Chaumont-Frelet , Euan A. Spence

We present Helmholtz or Helmholtz like equations for the approximation of the time-harmonic wave propagation in gases with small viscosity, which are completed with local boundary conditions on rigid walls. We derived approximative models…

Analysis of PDEs · Mathematics 2019-05-22 Kersten Schmidt , Anastasia Thöns-Zueva

We consider the Helmholtz problem in the context of the evolution of uniform initial distribution of a physical attribute in general porous media subject to a partially absorbing boundary condition. Its spectral property as a reflection of…

Soft Condensed Matter · Physics 2013-05-29 Seungoh Ryu , David Linton Johnson

We study 4 problems in the area of scattering of time harmonic acoustic or electromagnetic waves by unbounded rough surfaces/inhomogeneous layers. Specifically we study: i) a boundary value problem (BVP) for the Helmholtz equation, in both…

Analysis of PDEs · Mathematics 2019-04-09 Thomas Baden-Riess

The acoustic properties of a porous sheet of medium resistivity backed by a rigid plate in which are embedded a periodic set of circular inclusions is investigated. Such a structure behaves like a multi-component diffraction gratings.…

Classical Physics · Physics 2010-07-20 Jean-Philippe Groby , Olivier Dazel , Aroune Duclos , Laurens Boeckx , Walter Lauriks

A broadband sound absorption attained by a deep-subwavelength structure is of great interest to the noise control community especially for extremely low frequencies (20-100 Hz) in room acoustics. Coupling multiple different resonant unit…

Applied Physics · Physics 2021-01-12 Jun Ji , Dongting Li , Yong Li , Yun Jing

This paper is a short guideline to the decomposition of a compressible velocity into vortical and compressible structures using standard flow solvers. In particular, this is a fast solution to get an idea of the compressible fields inside…

Fluid Dynamics · Physics 2023-08-10 Stefan Schoder

We study the absorption of massless scalar waves in a geometry that interpolates between the Schwarzschild solution and a wormhole that belongs to the Morris-Thorne class of solutions. In the middle of the interpolation branch, this…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Haroldo C. D. Lima Junior , Carolina L. Benone , Luís C. B. Crispino