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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

We consider the direct electromagnetic scattering problem of time-harmonic obliquely incident waves by a infinitely long, homogeneous and doubly-connected cylinder in three dimensions. We apply a hybrid integral equation method (combination…

偏微分方程分析 · 数学 2019-07-08 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 inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The inverse problem, using the third Betti's formula (direct…

偏微分方程分析 · 数学 2018-10-22 Roman Chapko , Drossos Gintides , Leonidas Mindrinos

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

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such…

偏微分方程分析 · 数学 2020-12-10 Fang Zeng , Shixu Meng

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

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

We obtain a nonperturbative, analytical solution to integral equation of scattering theory by assuming the field within the scattering object is a spherical wave with a scattering amplitude equal to that of the far field. This approximation…

经典物理 · 物理学 2018-09-26 Brian Slovick , Srini Krishnamurthy

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is first established by using…

偏微分方程分析 · 数学 2009-12-16 Xiaodong Liu , Bo Zhang

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

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

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

光学 · 物理学 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

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

This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed frequency). We study the orthogonality sampling method which…

偏微分方程分析 · 数学 2019-11-05 Isaac Harris , Dinh-Liem Nguyen

This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an unbounded rough surface. Given a dipole point source, the direct problem is to determine…

偏微分方程分析 · 数学 2019-09-04 Peijun Li , Jue Wang , Lei Zhang

This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the…

偏微分方程分析 · 数学 2017-06-14 Jiaqing Yang , Bo Zhang , Haiwen Zhang

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

光学 · 物理学 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

In this paper, we investigate the problem of electromagnetic (EM) wave scattering by one and many small perfectly conducting bodies and present a numerical method for solving it. For the case of one body, the problem is solved for a body of…

数值分析 · 数学 2017-10-19 Nhan Tran

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

光学 · 物理学 2007-05-23 B. Guizal , D. Felbacq
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