中文
相关论文

相关论文: An inverse obstacle scattering problem with passiv…

200 篇论文

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

This work describes and analyzes the domain derivative for a time-dependent acoustic scattering problem. We study the nonlinear operator that maps a sound-soft scattering object to the solution of the time-dependent wave equation evaluated…

数值分析 · 数学 2025-10-27 Marvin Knöller , Jörg Nick

The inverse acoustic scattering problems using multi-frequency backscattering far field patterns at isolated directions are studied. The underlying object could be point like scatterers, small scatterers, extended inhomogeneities and…

偏微分方程分析 · 数学 2019-10-18 Xia Ji , Xiaodong Liu

This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

偏微分方程分析 · 数学 2026-05-12 Tielei Zhu , Zhihao Ge

This work is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is developed to efficiently determine both the locations and…

数值分析 · 数学 2023-12-08 Yukun Guo , Hongjie Li , Xianchao Wang

We discuss a time-harmonic inverse scattering problem for the Helmholtz equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded homogeneous background medium, and we develop a monotonicity…

偏微分方程分析 · 数学 2021-03-01 Roland Griesmaier , Bastian Harrach

We present an extension of the linear sampling method for solving the sound-soft inverse scattering problem in two dimensions with data generated by randomly distributed small scatterers. The theoretical justification of our novel sampling…

数值分析 · 数学 2024-07-03 J. Garnier , H. Haddar , H. Montanelli

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 dedicated to design a direct sampling method of inverse electromagnetic scattering problems, which uses multi-frequency sparse backscattering far field data for reconstructing the boundary of perfectly conducting obstacles. We…

偏微分方程分析 · 数学 2020-10-28 Tilo Arens , Xia Ji , Xiaodong Liu

This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a single incident plane wave. By introducing the Helmholtz…

偏微分方程分析 · 数学 2018-12-03 Heping Dong , Jun Lai , Peijun Li

This paper is concerned with the inverse obstacle scattering problem with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

数值分析 · 数学 2018-08-29 Bo Zhang , Haiwen Zhang

We present an extension of the linear sampling method for solving the sound-soft inverse acoustic scattering problem with randomly distributed point sources. The theoretical justification of our sampling method is based on the…

数值分析 · 数学 2023-03-21 Josselin Garnier , Houssem Haddar , Hadrien Montanelli

We consider the problem of reconstructing the shape of an impenetrable sound-soft obstacle from scattering measurements. The input data is assumed to be the far-field pattern generated when a plane wave impinges on an unknown obstacle from…

数值分析 · 数学 2015-05-28 Carlos Borges , Leslie Greengard

Consider the inverse scattering of time-harmonic acoustic scattering by an infinite rough surface which is supposed to be a local perturbation of a plane. A novel version of reverse time migration (RTM) is proposed to reconstruct the shape…

偏微分方程分析 · 数学 2023-10-24 Jianliang Li , Hao Wu , Jiaqing Yang

In this paper, we consider an inverse electromagnetic medium scattering problem of reconstructing unknown objects from time-dependent boundary measurements. A novel time-domain direct sampling method is developed for determining the…

数值分析 · 数学 2024-10-11 Chen Geng , Minghui Song , Xianchao Wang , Yuliang Wang

In the present paper we describe a method for solving inverse problems for the Helmholtz equation in radially-symmetric domains given multi-frequency data. Our approach is based on the construction of suitable trace formulas which relate…

数值分析 · 数学 2023-10-16 Abinand Gopal , Jeremy Hoskins , Vladimir Rokhlin

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

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

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 a numerical method for a 3D coefficient inverse problem with phaseless scattering data. These are multi-frequency data generated by a single direction of the incident plane wave. Our numerical procedure consists…

数值分析 · 数学 2017-10-16 Michael V. Klibanov , Dinh-Liem Nguyen , Loc H. Nguyen
‹ 上一页 1 2 3 10 下一页 ›