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相关论文: The direct scattering problem of obliquely inciden…

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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 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

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 article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

偏微分方程分析 · 数学 2016-11-15 Hongyu Liu , Jingni Xiao

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

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 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 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

This work is concerned with an inverse electromagnetic scattering problem in two dimensions. We prove that in the TE polarization case, the knowledge of the electric far-field pattern incited by a single incoming wave is sufficient to…

偏微分方程分析 · 数学 2019-02-20 Guanghui Hu , Long Li , Jun Zou

We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half space. The governing Maxwell equations are reformulated as a…

数值分析 · 数学 2014-04-15 Jun Lai , Sivaram Ambikasaran , Leslie F. Greengard

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

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

It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector…

偏微分方程分析 · 数学 2021-01-22 Guang-Hui Hu , Manmohan Vashisth , Jiaqing Yang

In this paper, we consider the direct and inverse problem of scattering of time-harmonic waves by an unbounded rough interface with a buried impenetrable obstacle. We first study the well-posedness of the direct problem with a local source…

偏微分方程分析 · 数学 2017-01-09 Yulong Lu , Bo Zhang

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 devotes to providing rigorous theoretical analysis of the wellposedness of the direct problem and the uniqueness of the inverse problem of electromagnetic scattering in a parallel-plate waveguide. The direct problem is reduced to…

偏微分方程分析 · 数学 2025-07-22 Jiawei Liang , Maojun Li , Tao Yin

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

数学物理 · 物理学 2012-09-03 Alexander G. Ramm

In this paper, a time domain enclosure method for an inverse obstacle scattering problem of electromagnetic wave is introduced. The wave as a solution of Maxwell's equations is generated by an applied volumetric current having an {\it…

偏微分方程分析 · 数学 2016-07-22 Masaru Ikehata

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
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