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We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infinitely long cylinder. We prove the existence and uniqueness…

偏微分方程分析 · 数学 2024-02-23 Drossos Gintides , Sotiris Giogiakas , Leonidas Mindrinos

In this paper we consider the direct scattering problem of obliquely incident time-harmonic electromagnetic plane waves by an infinitely long dielectric cylinder. We assume that the cylinder and the outer medium are homogeneous and…

偏微分方程分析 · 数学 2016-06-08 Drossos Gintides , Leonidas Mindrinos

In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder in three dimensions. We…

数值分析 · 数学 2024-02-23 Drossos Gintides , Leonidas Mindrinos

We study the direct and inverse scattering problems when the incident electromagnetic field is a time harmonic point- generated wave in a chiral medium and the scatterer is a perfectly conducting sphere. The exact Green s function and the…

经典物理 · 物理学 2008-12-12 Nikolaos Berketis , Christodoulos Athanasiadis

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

数值分析 · 数学 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

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…

偏微分方程分析 · 数学 2017-09-07 Peijun Li , Xiaokai Yuan

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

数值分析 · 数学 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

计算物理 · 物理学 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

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…

偏微分方程分析 · 数学 2009-12-09 xiaodong Liu , Bo Zhang

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

偏微分方程分析 · 数学 2015-05-18 Xiaodong Liu , Bo Zhang , Jiaqing Yang

This paper presents high-order integral equation methods for evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced…

计算物理 · 物理学 2015-06-19 Carlos Pérez-Arancibia , Oscar P. Bruno

We consider time-harmonic electromagnetic scattering problems on perfectly conducting scatterers with uncertain shape. Thus, the scattered field will also be uncertain. Based on the knowledge of the two-point correlation of the domain…

数值分析 · 数学 2019-07-15 Jürgen Dölz

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

数值分析 · 数学 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cylindrical obstacle and fields invariant along the axis of the…

偏微分方程分析 · 数学 2015-09-30 Martin Costabel , Eric Darrigrand , Hamdi Sakly

This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the point-interaction model for the Lam\'{e} operator…

数学物理 · 物理学 2019-11-26 Guanghui Hu , Andrea Mantile , Mourad Sini , Tao Yin

This paper is concerned with the scattering problem for time-harmonic electromagnetic waves, due to the presence of scatterers and of inhomogeneities in the medium. We prove a sharp stability result for the solutions to the direct…

偏微分方程分析 · 数学 2020-03-19 Hongyu Liu , Luca Rondi , Jingni Xiao

A computational algorithm for the exact equations representing the scattering coefficients of an infinite grating of insulating dielectric circular cylinders associated with obliquely incident vertically polarized plane electromagnetic…

数学物理 · 物理学 2007-11-02 Omer Kavaklioglu , Baruch Schneider

This paper presents a robust numerical solution to the electromagnetic scattering problem involving multiple multi-layered cavities in both transverse magnetic and electric polarizations. A transparent boundary condition is introduced at…

数值分析 · 数学 2023-08-14 Peijun Li , Xiaokai Yuan

We consider the scattering problem on locally perturbed periodic penetrable dielectric layers, which is formulated in terms of the full vector-valued time-harmonic Maxwell's equations. The right-hand side is not assumed to be periodic. At…

偏微分方程分析 · 数学 2019-08-23 Alexander Konschin

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the centres of the cylinders are distributed so that their…

计算物理 · 物理学 2015-06-05 A. G. Ramm , M. I. Andriychuk
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