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The acoustic response of a rigid frame porous slab with a periodic set of inclusions is calculated by use of a multipole method. The acoustic properties, in particular the absorption, of such a structure are then derived and studied.…

Classical Physics · Physics 2007-05-23 Jean-Philippe Groby , Armand Wirgin , Laurent De Ryck , Walter Lauriks

This work presents a new design for broadband absorption of low-frequency acoustic waves using a thin coating made of subwavelength acoustic resonators arranged periodically on a reflective surface. We first study the associated scattering…

Numerical Analysis · Mathematics 2026-03-13 Habib Ammari , Yu Gao , Lara Vrabac

Based on the quantum transport equation for the electron-phonon system, the absorption coefficient of sound (acoustic phonons) by absorption of laser radiation in cylindrical quantum wires is calculated for the case of monophoton absorption…

Condensed Matter · Physics 2007-05-23 Nguyen Quoc Hung , Nguyen Vu Nhan , Nguyen Quang Bau

An analogy between electromagnetism and acoustics is presented in 2D. The propagation of sound in presence of absorbing material is modeled using an open boundary microwave package. Validation is performed through analytical and…

Classical Physics · Physics 2007-05-23 Laurent Nicolas , M. Furstoss , Marie-Annick Galland

In this paper, we report on the design, fabrication, and experimental characterization of a 3D single-port labyrinthine acoustic metamaterial. By using curled perforations with one end closed and with appropriate loss inside, the proposed…

Classical Physics · Physics 2017-01-04 Chi Zhang , Xinhua Hu

Acoustic models of resonant duct systems with turbulent flow depend on fitted constants based on expensive experimental test series. We introduce a new model of a resonant cavity, flush mounted in a duct or flat plate, under grazing…

Fluid Dynamics · Physics 2019-06-04 Lewin Stein , Joern Sesterhenn

Acoustic wave propagation in a one-dimensional waveguide connected with Helmholtz resonators is studied numerically. Finite amplitude waves and viscous boundary layers are considered. The model consists of two coupled evolution equations: a…

Classical Physics · Physics 2015-06-16 Bruno Lombard , Jean-François Mercier

We describe a method for calculating the probability with which the wall of a plasma absorbs an electron at low energy. The method, based on an invariant embedding principle, expresses the electron absorption probability as the probability…

Plasma Physics · Physics 2017-01-10 Franz X. Bronold , Holger Fehske

The need of mathematically formulate relations between composite materials' properties and its resonance response is growing. This is due the fast technological advancement in micro-material manufacturing, present in chips for instance. In…

Mathematical Physics · Physics 2022-05-03 Taoufik Meklachi

Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators. A consequence is the resolvent estimates for the high frequency Helmholtz equation when…

Analysis of PDEs · Mathematics 2014-03-04 Julien Royer

In this work, we present a new solution representation for the Helmholtz transmission problem in a bounded domain in $\mathbb{R}^2$ with a thin and periodic layer of finite length. The layer may consists of a periodic pertubation of the…

Analysis of PDEs · Mathematics 2017-06-23 Adrien Semin , Bérangère Delourme , Kersten Schmidt

The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterned subwavelength structures, which nevertheless has a…

Analysis of PDEs · Mathematics 2016-08-10 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

In this work, we analytically report Coherent Perfect Absorption induced by the acoustic nonlinear response of a Helmholtz Resonator side loaded to a waveguide. In particular, we show that this two-port acoustic system can perfectly absorb…

Classical Physics · Physics 2016-08-24 V. Achilleos , O. Richoux , G. Theocharis

Photonic band structure of metal-dielectric and semiconductor-dielectric layered structures are studied in the presence of a strong absorption. It is shown that absorption can enlarge some gaps by as much as 50%.

Condensed Matter · Physics 2007-05-23 Alexander Moroz , Adriaan Tip , Jean-Michel Combes

The nature of near-threshold resonances is quantitatively studied with a new interpretation scheme using the complex compositeness. A difficulty was known in the understanding of the internal structure of unstable resonances because their…

High Energy Physics - Phenomenology · Physics 2024-09-11 Tomona Kinugawa , Tetsuo Hyodo

We present a semi-analytical theory for the acoustic fields and particle-trapping forces in a viscous fluid inside a capillary tube with arbitrary cross section and ultrasound actuation at the walls. We find that the acoustic fields vary…

Fluid Dynamics · Physics 2020-02-26 Jacob S. Bach , Henrik Bruus

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

A generalized kinetic model equation which takes into account the frequency depence of the thermal conductivity is used to analyze the problem of sound propagation in dilute polyatomic gases. By comparing the theoretical results with some…

Fluid Dynamics · Physics 2015-06-15 Sebastian Fischer , Wilson Marques

A massive body with the Schwarzschild interior metric (perfect fluid of constant density) develops a pressure singularity at the origin when the radius of the body $R$ approaches $9r_s/8$, where $r_s$ is the Schwarzschild radius. We show…

General Relativity and Quantum Cosmology · Physics 2012-10-29 V. V. Flambaum , G. H. Gossel , G. F. Gribakin

In this paper we present an overview of recent progress on the development and analysis of domain decomposition preconditioners for discretised Helmholtz problems, where the preconditioner is constructed from the corresponding problem with…

Numerical Analysis · Mathematics 2016-06-24 I. G. Graham , E. A. Spence , E. Vainikko
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