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This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the locally rough…

数值分析 · 数学 2023-05-11 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration…

数值分析 · 数学 2017-06-06 Bo Zhang , Haiwen Zhang

This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and…

数值分析 · 数学 2018-05-01 Xiaoli Liu , Bo Zhang , Haiwen Zhang

This paper is devoted to the uniqueness of inverse acoustic scattering problems with the modulus of near-field data. By utilizing the superpositions of point sources as the incident waves, we rigorously prove that the phaseless near-fields…

偏微分方程分析 · 数学 2019-05-22 Deyue Zhang , Fenglin Sun , Yukun Guo , Hongyu Liu

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

Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-interative sampling technique is proposed for detecting the rough surface by taking elastic wave…

偏微分方程分析 · 数学 2020-12-15 Tielei Zhu , Jiaqing Yang

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

This paper is concerned with the inverse time-harmonic elastic scattering problem of recovering unbounded rough surfaces in two dimensions. We assume that elastic plane waves with different directions are incident onto a rigid rough surface…

数值分析 · 数学 2018-04-09 Guanghui Hu , Xiaoli Liu , Bo Zhang , Haiwen 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

This paper is concerned with direct and inverse scattering by a locally perturbed infinite plane (called a locally rough surface in this paper) on which a Neumann boundary condition is imposed. A novel integral equation formulation is…

数值分析 · 数学 2024-12-20 Fenglong Qu , Bo Zhang , Haiwen Zhang

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 concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally rough surface in this paper). We propose a novel…

偏微分方程分析 · 数学 2013-02-04 Haiwen Zhang , Bo Zhang

This paper is concerned with the uniqueness of inverse acoustic scattering problem for cavities with the modulus of the near-fields. With the aid of the reference ball technique and the superpositions of two point sources as the incident…

偏微分方程分析 · 数学 2020-02-19 Deyue Zhang , Yinglin Wang , Yukun Guo , Jingzhi Li

This paper is concerned with uniqueness results in inverse acoustic and electromagnetic scattering problems with phaseless total-field data at a fixed frequency. Motivated by our previous work ({\em SIAM J. Appl. Math. \bf78} (2018),…

偏微分方程分析 · 数学 2019-06-13 Xiaoxu Xu , Bo Zhang , Haiwen Zhang

This paper is concerned with the inverse diffraction problems by a periodic curve with Dirichlet boundary condition in two dimensions. It is proved that the periodic curve can be uniquely determined by the near-field measurement data…

偏微分方程分析 · 数学 2022-03-01 Xiaoxu Xu , Guanghui Hu , Bo Zhang , Haiwen Zhang

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

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for inverse elastic scattering problems with phaseless far field data. Systematically, we study two basic models, i.e., inverse scattering of plane…

偏微分方程分析 · 数学 2020-01-08 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

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 investigate on the direct and inverse scattering problem by an unbounded penetrable rough surface in a lossless medium. The cases that the transmission coefficient $\mu\neq1$ and $\mu=1$, which creates certain difficulties…

偏微分方程分析 · 数学 2025-11-25 Chengyu Wu , Jiaqinq Yang
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