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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 an inverse transmission problem for recovering the shape of a penetrable rectangular grating sitting on a perfectly conducting plate. We consider a general transmission problem with the coefficient \lambda\neq 1…

偏微分方程分析 · 数学 2023-04-24 Jianli Xiang , Guanghui Hu

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together with the refractive index beneath it can be uniquely…

偏微分方程分析 · 数学 2021-11-24 Jianli Xiang , Guanghui Hu

Consider time-harmonic acoustic scattering from a bounded penetrable obstacle $D\subset \mathbb R^N$ embedded in a homogeneous background medium. The index of refraction characterizing the material inside $D$ is supposed to be H\"older…

偏微分方程分析 · 数学 2015-07-29 Guanghui Hu , Mikko Salo , Esa V. Vesalainen

This paper is concerned with uniqueness in inverse electromagnetic scattering with phaseless far-field pattern at a fixed frequency. In our previous work [{\em SIAM J. Appl. Math.} {\bf 78} (2018), 3024-3039], by adding a known reference…

偏微分方程分析 · 数学 2019-06-21 Xiaoxu Xu , Bo Zhang , Haiwen Zhang

This paper is concerned with the unique identification of the shape of a scatterer through a single far-field pattern in an inverse elastic medium scattering problem with a generalized transmission boundary condition. The uniqueness issue…

偏微分方程分析 · 数学 2023-12-06 Huaian Diao , Ruixiang Tang , Hongyu Liu , Jiexin Tang

This paper is concerning the inverse conductive scattering of acoustic waves by a bounded inhomogeneous object with possibly embedded obstacles inside. A new uniqueness theorem is proved that the conductive object is uniquely determined by…

偏微分方程分析 · 数学 2026-01-19 Chengyu Wu , Jiaqing Yang

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 inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

偏微分方程分析 · 数学 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

This paper is devoted to the uniqueness in inverse acoustic scattering problems for the Helmholtz equation with phaseless far-field data. Some novel techniques are developed to overcome the difficulty of translation invariance induced by a…

偏微分方程分析 · 数学 2018-07-04 Deyue Zhang , Yukun Guo

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 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

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

This paper is concerned with the uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data generated by superpositions of two incident plane waves at a fixed frequency. It can be proved that the unknown…

偏微分方程分析 · 数学 2023-07-25 Xiaoxu Xu

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

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

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

The first part of this paper is concerned with the uniqueness to inverse time-harmonic elastic scattering from bounded rigid obstacles in two dimensions. It is proved that a connected polygonal obstacle can be uniquely identified by the…

偏微分方程分析 · 数学 2019-09-04 Johannes Elschner , Guanghui Hu

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

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
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