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We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

偏微分方程分析 · 数学 2016-04-29 Habib Ammari , Hai Zhang

We derive the effective transmission condition for a cluster of acoustic subwavelength resonators, modeled as small-scaled bubbles distributed not necessarily periodically along a smooth, bounded hypersurface, which need not be flat. The…

偏微分方程分析 · 数学 2024-12-20 Arpan Mukherjee , Mourad Sini

This work provides a rigorous functional-analytic justification for a time-domain Foldy-Lax framework that describes multiple acoustic scattering by a cluster of dispersive resonators (modeling gas-filled bubbles), explicitly incorporating…

偏微分方程分析 · 数学 2025-12-02 Arpan Mukherjee , Mourad Sini

We analyse the ultrasound waves reflected by multiple bubbles in the linearized time-dependent acoustic model. The generated time-dependent wave field is estimated close to the bubbles. The motivation of this study comes from the therapy…

偏微分方程分析 · 数学 2024-09-24 Arpan Mukherjee , Mourad Sini

We deal with the time-domain acoustic wave propagation in the presence of a subwavelength resonator given by a Minneart bubble. This bubble is small scaled and enjoys high contrasting mass density and bulk modulus. It is well known that,…

偏微分方程分析 · 数学 2026-01-21 Long Li , Mourad Sini

We present experimental results on a model system for studying wave propagation in a complex medium exhibiting low frequency resonances. These experiments enable us to investigate a fundamental question that is relevant for many materials,…

经典物理 · 物理学 2015-05-20 V. Leroy , A. L. Strybulevych , J. H. Page , M. G. Scanlon

The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly media has been exploited in practice to obtain super-focusing of…

偏微分方程分析 · 数学 2018-02-07 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

We study the time-domain acoustic wave propagation in the presence of a micro-bubble. This micro-bubble is characterized by a mass density and bulk modulus which are both very small as compared to the ones of the background vacuum. The goal…

偏微分方程分析 · 数学 2023-12-13 Arpan Mukherjee , Mourad Sini

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

数值分析 · 数学 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson

The oscillations of ultrasound contrast agents are of particular importance to the understanding of the propagation of acoustic waves in the bubbly liquids (suspensions of ultrasound contrast agents). Acoustic waves propagating in bubbly…

流体动力学 · 物理学 2018-10-05 Lang Xia

We formulate an effective medium (mean field) theory of a material consisting of randomly distributed nodes connected by straight slender rods, hinged at the nodes. Defining novel wavelength-dependent effective elastic moduli, we calculate…

软凝聚态物质 · 物理学 2015-06-05 J. I. Katz , J. J. Hoffman , M. S. Conradi , J. G. Miller

This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time domain. Due to the nano-bubble with damping, Minnaert…

偏微分方程分析 · 数学 2023-02-03 Bochao Chen , Yixian Gao , Yong Li , Hongyu Liu

Minnaert resonance is a well known physical phenomenon and it has many important applications, in particular in the effective realisation of acoustic metamaterials using bubbly mediums in recent years. In this paper, motived by the Minnaert…

偏微分方程分析 · 数学 2021-02-09 Hongjie Li , Hongyu Liu , Jun Zou

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

流体动力学 · 物理学 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

We present an effective medium description of time-modulated dielectric media. By taking the averaged fields over one modulation period, the relationship between them is derived, defining therefore the different constitutive parameters. In…

光学 · 物理学 2021-01-04 Dani Torrent

This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the…

经典物理 · 物理学 2007-05-23 Zhen Ye

Effective medium theory aims to describe a complex inhomogeneous material in terms of a few important macroscopic parameters. To characterise wave propagation through an inhomogeneous material, the most crucial parameter is the effective…

经典物理 · 物理学 2019-08-13 Artur Lewis Gower , Ian David Abrahams , William J. Parnell

We extend effective medium theory (EMT) to time-modulated, frequency-dispersive acoustic metamaterials with multiple resonances. While previous studies focused on non-dispersive or single-resonance systems, advances in programmable…

应用物理 · 物理学 2025-05-12 Xinghong Zhu , Hong-Wei Wu , Jensen Li

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

经典物理 · 物理学 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

光学 · 物理学 2026-04-02 Klaas De Kinder , Christophe Caloz
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