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相关论文: Airborne Minnaert-Like Resonance of an Air-Filled …

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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

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

The Minneart resonance is a low frequency resonance in which the wavelength is much larger than the size of the resonators. It is interesting to study the interaction between two adjacent bubbles when they are brought close together.…

偏微分方程分析 · 数学 2023-05-24 Haigang Li , Yan Zhao

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…

偏微分方程分析 · 数学 2016-08-10 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

Stress concentration in bubble-elastic scattering scenarios has significant applications in engineering blasting and medical treatments. This study provides a comprehensive mathematical analysis of stress concentration in bubbly-elastic…

数学物理 · 物理学 2025-10-10 Ruixiang Tang , Huaian Diao , Hongyu Liu , Weisheng Zhou

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

Through the application of layer potential techniques and Gohberg-Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole…

偏微分方程分析 · 数学 2016-03-15 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

We analyze mathematically the acoustic imaging modality using bubbles as contrast agents. These bubbles are modeled by mass densities and bulk moduli enjoying contrasting scales. These contrasting scales allow them to resonate at certain…

偏微分方程分析 · 数学 2020-04-17 Alexander Dabrowski , Ahcene Ghandriche , Mourad Sini

Subwavelength resonators are small scaled objects that exhibit contrasting medium properties (eigher in intensity or sign) while compared to the ones of a uniform background. Such contrasts allow them to resonate at specific frequencies.…

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

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

Bubbles are ubiquitous in many research applications ranging from ultrasound imaging and drug delivery to the understanding of volcanic eruptions and water circulation in vascular plants. From an acoustic perspective, bubbles are resonant…

This paper unveils and investigates a novel quasi-Minnaert resonance for an elastic hard inclusion embedded in a soft homogeneous medium in the sub-wavelength regime. The quasi-Minnaert resonance consists of boundary localization and…

偏微分方程分析 · 数学 2025-05-07 Huaian Diao , Ruixiang Tang , Hongyu Liu

We present an experimental demonstration of sound absorption tailorability, using acoustic metamaterials made of resonant cavities that does not rely on any dissipative material. As confirmed by numerical calculation, we particularly show…

应用物理 · 物理学 2018-11-14 Aliyasin Elayouch , Mahmoud Addouche , Abdelkrim Khelif

Increasing the number of closely-packed air bubbles immersed in water changes the frequency of the Minnaert resonance. The collective interactions between bubbles in a small ensemble are primarily in the same phase, causing them to radiate…

计算物理 · 物理学 2023-03-24 Rudyard Jerez Boudesseul , Elwin van 't Wout

The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in bubbly fluids. The design of double-negative metamaterials generally requires the use of two…

偏微分方程分析 · 数学 2018-03-09 Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Sanghyeon Yu , Hai Zhang

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

Traditional surface cleaning methods often suffer from drawbacks such as chemical harshness, potential for surface damage, and high energy consumption. This study investigates an alternative approach: acoustic-driven surface cleaning using…

软凝聚态物质 · 物理学 2025-06-10 Yan Jun Lin , Zhengyang Liu , Sunghwan Jung

Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic background medium. Our contributions are threefold. First, we…

偏微分方程分析 · 数学 2025-03-28 Yuanchun Ren , Bochao Chen , Yixian Gao , Peijun Li

We present a class of sonic meta-screens for manipulating air-borne acoustic waves at ultrasonic or audible frequencies. Our screens consist of periodic arrangements of air bubbles in water or possibly embedded in a soft elastic matrix.…

经典物理 · 物理学 2015-06-03 Alice Bretagne , Arnaud Tourin , V. Leroy
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