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This paper is concerned with the inverse acoustic scattering problem with phaseless total-field data at a fixed frequency. An approximate factorization method is developed to numerically reconstruct both the location and shape of the…

数值分析 · 数学 2020-10-15 Bo Zhang , Haiwen Zhang

We describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions, recently introduced in signal analysis…

chao-dyn · 物理学 2009-10-31 Christophe Baudet , Olivier Michel , William J. Williams

Sound waves are attenuated as they propagate in amorphous materials. We investigate the mechanism driving sound attenuation in the Rayleigh scattering regime by resolving the dynamics of an excited phonon in time and space via numerical…

软凝聚态物质 · 物理学 2024-01-18 Shivam Mahajan , Massimo Pica Ciamarra

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

数值分析 · 数学 2014-01-15 Gilles Chardon

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size…

数学物理 · 物理学 2011-05-10 Alexander G. Ramm

There is still a gap in understanding phonons scattering by geometrical defects at the nanoscale, and it remains a significant challenge for heat transfer management in nanoscale devices and systems. In this study, we aim to explore the…

介观与纳米尺度物理 · 物理学 2024-03-19 Mykola Isaiev , Nataliia Kyrychenko , Vasyl Kuryliuk , David Lacroix

This paper is concerned with inverse scattering problems of determining the support of an isotropic and homogeneous penetrable body from knowledge of multi-static far-field patterns in acoustics and in linear elasticity. The normal…

偏微分方程分析 · 数学 2024-04-11 Chun Liu , Guanghui Hu , Jianli Xiang , Jiayi Zhang

In this paper, we give a positive answer to a challenging open problem for recovering unknown obstacle (which is usually referred to as a scatterer) by acoustic wave probe associated to the Helmholtz equation. We show that the acoustic…

偏微分方程分析 · 数学 2021-04-20 Genqian Liu

In this work, we consider the time-harmonic inverse elastic source problem of a fixed frequency for the Navier equation in two dimensions. We show that a convex polygon can be uniquely determined by a single far field measurement. Our…

偏微分方程分析 · 数学 2025-06-04 Jianli Xiang

In this short note, we present a probabilistic perspective on the Schiffer's problem in the inverse scattering theory, which asks whether one can uniquely determine the shape of an unknown obstacle by a single far-field measurement. It is a…

偏微分方程分析 · 数学 2024-08-27 Hongyu Liu

This paper is concerned with the inverse obstacle scattering problem with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

数值分析 · 数学 2018-08-29 Bo Zhang , Haiwen Zhang

We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered $P$-parts or $S$-parts of the far field pattern, corresponding to all the incident plane waves of pressure or…

偏微分方程分析 · 数学 2013-11-19 Manas Kar , Mourad Sini

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

偏微分方程分析 · 数学 2018-06-21 Lorenzo Baldassari

We show that the emission of soft photons via nonlinear Compton scattering in a pulsed plane wave (laser field) is in general infra-red divergent. We give examples of both soft and soft-collinear divergences, and we pay particular attention…

高能物理 - 唯象学 · 物理学 2013-05-30 Victor Dinu , Thomas Heinzl , Anton Ilderton

The extended boundary condition method can be used to study planewave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material whose relative permittivity dyadic is a scalar multiple of its relative permeability…

Many applications of short-wavelength radiation impose strong requirements on the coherence properties of the source. However, the measurement of such properties poses a challenge, mainly due to the lack of high-quality optics and source…

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…

大气与海洋物理 · 物理学 2007-05-23 Zhen Ye , You-Yu Chen

We consider the problem of obtaining information about an inaccessible half-space from acoustic measurements made in the accessible half-space. If the measurements are of limited precision, some scatterers will be undetectable because their…

偏微分方程分析 · 数学 2007-05-23 Margaret Cheney , David Isaacson , Matti Lassas

The signal registered by a plane photodetector placed behind an optically inhomogeneous object irradiated by two coherent Gaussian beams intersecting inside the object at small angle to each other is calculated in the single-scattering…

光学 · 物理学 2018-05-23 G. G. Kozlov

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…