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相关论文: A direct imaging method for inverse scattering pro…

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This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered…

数值分析 · 数学 2018-04-17 Xiaoli Liu , Bo Zhang , Haiwen Zhang

We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods for location and shape reconstruction are proposed using…

数值分析 · 数学 2018-03-14 Xia Ji , Xiaodong Liu , Yingxia Xi

Consider the problem of inverse scattering of time-harmonic point sources from an infinite, penetrable rough interface with bounded obstacles buried in the lower half-space, where the interface is assumed to be a local perturbation of a…

偏微分方程分析 · 数学 2020-09-02 Jianliang Li , Jiaqing Yang , Bo Zhang

This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be a local perturbation of a plane. The purpose of this paper is to recover the local…

偏微分方程分析 · 数学 2020-08-05 Jianliang Li , Jiaqing Yang , Bo Zhang

We consider an inverse acoustic scattering problem in simultaneously recovering an embedded obstacle and its surrounding inhomogeneous medium by formally determined far-field data. It is shown that the knowledge of the scattering amplitude…

偏微分方程分析 · 数学 2017-05-24 Hongyu Liu , Xiaodong Liu

We consider the electromagnetic scattering from a convex polyhedral PEC or PMC obstacle due to a time-harmonic incident plane wave. It is shown that the modulus of the far-field pattern in the backscattering aperture possesses a certain…

偏微分方程分析 · 数学 2017-03-08 Jingzhi Li , Hongyu Liu , Yuliang Wang

Inverse scattering problems have many important applications. In this paper, given limited aperture data, we propose a Bayesian method for the inverse acoustic scattering to reconstruct the shape of an obstacle. The inverse problem is…

偏微分方程分析 · 数学 2019-05-30 Zhaoxiang Li , Zhiliang Deng , Jiguang Sun

In this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coefficients from the known far-field data at a fixed incident…

数学物理 · 物理学 2024-02-13 Rafael Ceja Ayala , Isaac Harris , Andreas Kleefeld

Passive imaging involves recording waves generated by uncontrolled, random sources and utilizing correlations of such waves to image the medium through which they propagate. In this paper, we focus on passive inverse obstacle scattering…

偏微分方程分析 · 数学 2025-11-06 Thorsten Hohage , Meng Liu

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple…

数值分析 · 数学 2023-07-19 Yan Chang , Yukun Guo , Hongyu Liu , Deyue Zhang

Consider the scattering of a time-harmonic acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous acoustic medium. This paper concerns an inverse acoustic-elastic interaction problem, which is to determine the…

数值分析 · 数学 2020-04-22 Heping Dong , Jun Lai , Peijun Li

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for solving inverse electromagnetic source scattering problems with multi-frequency sparse phased or phaseless far field data. With the phased data,…

偏微分方程分析 · 数学 2019-06-07 Xia Ji , Xiaodong Liu

This work considers a time domain inverse acoustic obstacle scattering problem due to passive data. Motivated by the Helmholtz-Kirchhoff identity in the frequency domain, we propose to relate the time domain measurement data in passive…

数值分析 · 数学 2025-06-03 Xiaoli Liu , Shixu Meng , Jialu Tian , Bo Zhang

We consider an inverse scattering problem to identify the locations or shapes of unknown anomalies from scattering parameter data collected by a small number of dipole antennas. Most of researches does not considered the influence of dipole…

数值分析 · 数学 2018-09-18 Won-Kwang Park

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

We analyze the inverse problem to reconstruct the shape of a three dimensional homogeneous dielectric obstacle from the knowledge of noisy far field data. The forward problem is solved by a system of second kind boundary integral equations.…

数值分析 · 数学 2020-06-22 Thorsten Hohage , Frédérique Le Louër

This paper concerns an inverse elastic scattering problem which is to determine a rigid obstacle from time domain scattered field data for a single incident plane wave. By using Helmholtz decomposition, we reduce the initial-boundary value…

数值分析 · 数学 2022-03-14 Lu Zhao , Heping Dong , Fuming Ma

This paper is concerned with time domain forward scattering and inverse scattering problems with a single moving point source as the emitter. Approximate solutions are provided for the forward scattering problem with a moving emitter.…

数值分析 · 数学 2025-10-13 Yu Sun , Bo Chen , Peng Gao , Qiuyi Li , Yao Sun

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects…

信号处理 · 电气工程与系统科学 2020-12-17 Ajinkya Kadu , Hassan Mansour , Petros T. Boufounos

This paper is concerned with the inverse acoustic scattering problem with phaseless total-field data at a fixed frequency. An approximate factorization method is developed to numerically reconstruct both the location and shape of the…

数值分析 · 数学 2020-10-15 Bo Zhang , Haiwen Zhang