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We realize scattering states in a lossy and chaotic two-dimensional microwave cavity which follow bundles of classical particle trajectories. To generate such particlelike scattering states we measure the system's transmission matrix and…

Classical Physics · Physics 2018-02-14 Julian Böhm , Andre Brandstötter , Philipp Ambichl , Stefan Rotter , Ulrich Kuhl

An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively…

Computational Physics · Physics 2023-04-19 Johan Lundgren , Kurt Schab , Miloslav Capek , Mats Gustafsson , Lukas Jelinek

Consider an exterior problem of the three-dimensional elastic wave equation, which models the scattering of a time-harmonic plane wave by a rigid obstacle. The scattering problem is reformulated into a boundary value problem by introducing…

Analysis of PDEs · Mathematics 2017-09-07 Peijun Li , Xiaokai Yuan

In a recent letter [Europhys. Lett. 97, 34002 (2012)], random matrix theory is introduced for long-range acoustic propagation in the ocean. The theory is expressed in terms of unitary propagation matrices that represent the scattering…

Mathematical Physics · Physics 2015-06-05 Katherine C. Hegewisch , Steven Tomsovic

A thin infinitely long elastic shell is stiffened by $J$ in number identical lengthwise ribs distributed uniformly around the circumference and joined to a rod in the center. The 2D model of the substructure is a rigid central mass…

Classical Physics · Physics 2015-12-09 Alexey S. Titovich , Andrew N. Norris

We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of…

Analysis of PDEs · Mathematics 2020-02-17 Mourad Sini , Haibing Wang , Qingyun Yao

Within the framework of a Dirac bubble potential model for the C60 fullerene shell we investigated the angular time delay in slow-electron elastic scattering by C60 as well as average time delay of electrons in this process. It is…

Atomic Physics · Physics 2021-03-16 M. Ya. Amusia , A. S. Baltenkov , I. Woiciechowski

Traditional sound diffusers are quasi-random phase gratings attached to reflecting surfaces whose purpose is to augment the spatiotemporal incoherence of the acoustic field scattered from reflective surfaces. This configuration allows one…

Applied Physics · Physics 2022-11-23 Janghoon Kang , Michael R. Haberman

Sound scattering by a finite width beam on a single rigid body rotation vortex flow is detected by a linear array of transducers (both smaller than a flow cell), and analyzed using a revised scattering theory. Both the phase and amplitude…

Chaotic Dynamics · Physics 2009-11-10 Sh. Seifer , V. Steinberg

Computing correlation functions in curved spacetime is central to both theoretical and experimental efforts, from precision cosmology to quantum simulations of strongly coupled systems. In anti-de Sitter (AdS) and de Sitter (dS) space, the…

High Energy Physics - Theory · Physics 2025-09-22 Aidan Herderschee

In this paper, we present a fast boundary integral method accelerated by the fast multipole method (FMM) for acoustic wave scattering governed by the scalar Helmholtz equation in multi-layered two-dimensional media. Multiple scatterers are…

Numerical Analysis · Mathematics 2025-11-18 Linfeng Xia , Heng Yuan , Bo Wang , Wei Cai

For a scattering system $\{A_\Theta,A_0\}$ consisting of selfadjoint extensions $A_\Theta$ and $A_0$ of a symmetric operator $A$ with finite deficiency indices, the scattering matrix $\{S_\gT(\gl)\}$ and a spectral shift function…

Mathematical Physics · Physics 2014-02-26 Jussi Behrndt , Mark M. Malamud , Hagen Neidhardt

Diffusing-Wave Spectroscopy (DWS) allows for the direct measurement of the squared strain-rate tensor. When combined with commonly available high-speed cameras, we show that DWS gives direct access to the spatio-temporal variations of the…

Fluid Dynamics · Physics 2023-09-01 Enzo Francisco , Vincent Bouillaut , Tong Wu , Sébastien Aumaître

We present a new boundary integral formulation for time-harmonic wave diffraction from two-dimensional structures with many layers of arbitrary periodic shape, such as multilayer dielectric gratings in TM polarization. Our scheme is robust…

Numerical Analysis · Mathematics 2015-06-23 Min Hyung Cho , Alex H. Barnett

Using the traditional surface integral methods, the computation of scattering from a dielectric object requires two equivalent current densities on the boundary of the dielectric. In this paper, we present an approach that requires only a…

Computational Engineering, Finance, and Science · Computer Science 2017-08-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

The paper presents a method for calculation of non-spherical particle T-matrices based on the volume integral equation and the spherical vector wave function basis, and relies on the Generalized Source Method rationale. The developed method…

Computational Physics · Physics 2019-05-22 Alexey A. Shcherbakov

We propose and analyse a numerical method for time-harmonic acoustic scattering in $\mathbb{R}^n$, $n=2,3$, by a class of inhomogeneities (penetrable scatterers) with fractal boundary. Our method is based on a Galerkin discretisation of the…

Numerical Analysis · Mathematics 2026-02-06 Joshua Bannister , David P. Hewett , Andrew Gibbs

We consider the problem of spatial channel covariance matrix (CCM) estimation for intelligent reflecting surface (IRS)-assisted millimeter wave (mmWave) communication systems. Spatial CCM is essential for two-timescale beamforming in…

Signal Processing · Electrical Eng. & Systems 2022-04-19 Hongwei Wang , Jun Fang , Huiping Duan , Hongbin Li

We introduce a scattering representation for the analysis and classification of sounds. It is locally translation-invariant, stable to deformations in time and frequency, and has the ability to capture harmonic structures. The scattering…

Sound · Computer Science 2015-09-02 Vincent Lostanlen , Stéphane Mallat

The Wigner function formalism has been applied to the analysis of elastic scattering processes. The new element of known formalism is the choice of the phase space on which the Wigner function is defined. This phase space is 4-dimensional…

High Energy Physics - Phenomenology · Physics 2010-08-09 I. Perevalova , M. Polyakov , O. Soldatenko , A. Vall
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