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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…

介观与纳米尺度物理 · 物理学 2024-08-06 Erik Orvehed Hiltunen , Bryn Davies

We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic representation formula for the scattered wave away from the thin…

偏微分方程分析 · 数学 2020-10-05 Yves Capdeboscq , Roland Griesmaier , Marvin Knöller

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

数学物理 · 物理学 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

We consider the inverse scattering problem to reconstruct a local perturbation of a given inhomogeneous periodic layer in $\mathbb{R}^d$, $d=2,3$, using near field measurements of the scattered wave on an open set of the boundary above the…

偏微分方程分析 · 数学 2024-12-20 Alexander Konschin , Armin Lechleiter

We prove a scattering result near certain steady states for a Hartree equation for a random field. This equation describes the evolution of a system of infinitely many particles. It is an analogous formulation of the usual Hartree equation…

偏微分方程分析 · 数学 2020-07-02 Charles Collot , Anne-Sophie de Suzzoni

Partially gated two-dimensional electron systems (2DES) represent the basic building block of prospective optoelectronic devices, including electromagnetic detectors and sources. At the same time, the electrodynamic properties of such…

介观与纳米尺度物理 · 物理学 2025-05-09 Ilia Moiseenko , Egor Nikulin , Dmitry Svintsov

We study time-harmonic scattering by a periodic array of penetrable, high-contrast obstacles with small period, confined to a bounded Lipschitz domain. The strong contrast between the obstacles and the background induces subwavelength…

偏微分方程分析 · 数学 2025-10-15 Yuxin Du , Xin Fu , Wenjia Jing

A 2D problem of acoustic wave scattering by a segment bearing impedance boundary conditions is considered. In the current paper (the first part of a series of two) some preliminary steps are made, namely, the diffraction problem is reduced…

偏微分方程分析 · 数学 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

We combine theories of scattering for linearized water waves and flexural waves in thin plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential…

经典物理 · 物理学 2020-04-06 Mohamed Farhat , Pai-Yen Chen , Hakan Bagci , Khaled Salama , Sebastien Guenneau

This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis of wave atoms, and compress by…

数值分析 · 数学 2008-05-28 Laurent Demanet , Lexing Ying

In scattering theory, the Wigner-Smith time delay, calculated through a phaseshift derivative or its multichannel generalization, has been demonstrated to measure the amount of delay or advance experienced by colliding particles during…

原子物理 · 物理学 2025-11-25 Karim I. Elghazawy , Chris H. Greene

In this paper, the partial-wave expansion method is applied to describe the difference-frequency pressure generated in a nonlinear scattering of two acoustic waves with an arbitrary wavefront by means of a rigid sphere. Particularly, the…

经典物理 · 物理学 2012-08-28 Glauber T. Silva , Anderson Bandeira

By an integral equation approach to the time-harmonic classical Maxwell equations, we describe the dispersion in the nonretarded frequency regime of the edge plasmon-polariton (EPP) on a semi-infinite flat sheet. The sheet has an arbitrary,…

数学物理 · 物理学 2020-01-29 Dionisios Margetis , Matthias Maier , Tobias Stauber , Tony Low , Mitchell Luskin

We consider the scattering problem of the local perturbation of an open periodic waveguide in the half plane. Recently by Kirsch and Lechleiter, a new radiation condition was introduced in order to solve the unperturbed case. In this paper,…

偏微分方程分析 · 数学 2021-06-16 Takashi Furuya

We prove scattering for the defocusing energy-critical non-linear wave equation with Dirichlet boundary conditions outside two strictly convex obstacles in dimension three. This is the first large data scattering result for such an equation…

偏微分方程分析 · 数学 2026-04-20 David Lafontaine , Camille Laurent

In this paper, we propose a new nonuniform mesh method to simulate acoustic scattering problems in two dimensional periodic structures with non-periodic incident fields numerically. As existing methods are difficult to extend to higher…

数值分析 · 数学 2022-03-14 Tilo Arens , Ruming Zhang

The purpose of this paper is to establish a geometric scattering result for a conformally invariant nonlinear wave equation on an asymptotically simple spacetime. The scattering operator is obtained via trace operators at null infinities.…

偏微分方程分析 · 数学 2019-07-18 Jérémie Joudioux

In this paper, we propose a new numerical method for scattering problems in periodic waveguide, based on the newly established contour integral representation of solutions in a previous paper by the author (see [Zhadf]). For this kind of…

数值分析 · 数学 2021-04-30 Ruming Zhang

This paper is concerned with the diffraction of an electromagnetic wave by a perfectly conducting half-plane in a homogeneous bi-isotropic medium (asymptotically). Similar analysis in a source-free field is done in Asghar,S. and Lakhtakia,…

数学物理 · 物理学 2007-05-23 Wasiq Hussain

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

核理论 · 物理学 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho