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We consider time domain acoustic scattering from a penetrable medium with a variable sound speed. This problem can be reduced to solving a time domain volume Lippmann-Schwinger integral equation. Using convolution quadrature in time and…

Numerical Analysis · Mathematics 2014-07-30 Armin Lechleiter , Peter Monk

We consider the resonance and scattering properties of a composite medium containing scatterers whose properties are modulated in time. When excited with an incident wave of a single frequency, the scattered field consists of a family of…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Erik Orvehed Hiltunen , Bryn Davies

In this paper, we show the RCS enhancement due to the acoustic disturbances around a pulsating sphere. The acoustic variation is modeled with the dielectric inhomogeneities around the sphere caused by the pressure fluctuations due to the…

Applied Physics · Physics 2023-08-17 V. Viswarupa , Yoginder Kumar Negi , N. Balakrishnan

We consider the scattering of acoustic waves emitted by an active source above a plane turbulent shear layer. The layer is modeled by a moving random medium with small spatial and temporal fluctuations of its mean velocity, and constant…

Fluid Dynamics · Physics 2020-05-19 Josselin Garnier , Etienne Gay , Éric Savin

The $T$-matrix formally describes the solution of any electromagnetic scattering problem by a given particle in a given medium at a given wavelength. As such it is commonly used in a number of contexts, for example to predict the…

Classical Physics · Physics 2019-01-30 Matt Majic , Eric C. Le Ru

We present measurements of the complete spatio-temporal Fourier spectrum of Faraday waves. The Faraday waves are generated at the interface of two immiscible index matched liquids of different density. By use of a new absorption technique…

Pattern Formation and Solitons · Physics 2009-11-11 A. V. Kityk , E. Embs , V. V. Mekhonoshin , C. Wagner

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Zhen Ye , You-Yu Chen

We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable…

Numerical Analysis · Mathematics 2017-09-18 Bo Wang , Li-Lian Wang , Ziqing Xie

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Mathematical Physics · Physics 2011-03-11 Anton Krynkin , Olga Umnova , Alvin Y. B. Chong , Shahram Taherzadeh , Keith Attenborough

A multiphysics data analytic platform is established for imaging poroelastic interfaces of finite permeability (e.g., hydraulic fractures) from elastic waveforms and/or acoustic pore pressure measurements. This is accomplished through…

Numerical Analysis · Mathematics 2022-03-02 Fatemeh Pourahmadian , Kevish Napal

Surface acoustic wave (SAW) devices are widely used in modern communication equipment and SAW equations describe the critical physical processes of acoustic-electric conversion in SAW devices. It is very challenging to numerically solve…

Numerical Analysis · Mathematics 2025-04-07 Jianguo Huang , Likun Qiu

A rigid spherical particle in an acoustic wave field oscillates at the wave period but has also a mean motion on a longer time scale. The dynamics of this mean motion is crucial for numerous applications of acoustic microfluidics, including…

Fluid Dynamics · Physics 2015-06-19 Jin-Han Xie , Jacques Vanneste

Optoacoustic image formation is conventionally based upon ultrasound time-of-flight readings from multiple detection positions. Herein, we exploit acoustic scattering to physically encode the position of optical absorbers in the acquired…

Biological Physics · Physics 2019-10-30 Xose Luis Dean-Ben , Ali Ozbek , Hernan Lopez-Schier , Daniel Razansky

In an idealized way, some turbulent flows can be pictured by assemblies of many vortices characterized by a set of particle distribution functions. Ultrasound provide an useful, nonintrusive, tool to study the spatial structure of vorticity…

chao-dyn · Physics 2009-10-31 Denis Boyer , Fernando Lund

In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by an $L^2$ function with a compact support in the…

Analysis of PDEs · Mathematics 2024-01-30 Guanghui Hu , Tianjiao Wang , Xiang Xu , Yue Zhao

We are interested in the modeling of wave propagation in an infinite bilayered acoustic/poroelastic media. We consider the biphasic Biot's model in the poroelastic layer. The first part is devoted to the calculation of analytical solution…

Analysis of PDEs · Mathematics 2008-07-29 Julien Diaz , Abdelaâziz Ezziani

In an environment where acoustic privacy or deliberate signal obfuscation is desired, it is necessary to mask the acoustic signature generated in essential operations. We consider the problem of masking the effect of an acoustic source in a…

Analysis of PDEs · Mathematics 2025-08-22 Hongyun Wang , Hong Zhou

Scalar wave scattering by many small particles with impedance boundary condition and creating material with a desired refraction coefficient are studied. The acoustic wave scattering problem is solved asymptotically and numerically under…

Numerical Analysis · Mathematics 2017-10-17 Nhan Tran

This paper is concerned with the problem of scattering of time-harmonic acoustic waves from an impenetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is established, employing the integral equation…

Analysis of PDEs · Mathematics 2009-12-09 xiaodong Liu , Bo Zhang

This paper is concerned with uniqueness results in inverse acoustic and electromagnetic scattering problems with phaseless total-field data at a fixed frequency. Motivated by our previous work ({\em SIAM J. Appl. Math. \bf78} (2018),…

Analysis of PDEs · Mathematics 2019-06-13 Xiaoxu Xu , Bo Zhang , Haiwen Zhang