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相关论文: Simultaneous recovery of a locally rough interface…

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Consider the scattering of time-harmonic point sources by an infinite locally rough interface with bounded obstacles embedded in the lower half-space. The model problem is first reduced to an equivalent integral equation formulation defined…

偏微分方程分析 · 数学 2022-04-06 Jiaqing Yang , Jianliang Li , Bo Zhang

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

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 propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of the aperture and the…

经典物理 · 物理学 2015-10-28 Zhiming Chen , Guanghui Huang

We propose a new single frequency reverse time migration (RTM) algorithm for imaging extended targets using electromagnetic waves. The imaging functional is defined as the imaginary part of the cross-correlation of the Green function for…

数学物理 · 物理学 2014-06-11 Junqing Chen , Zhiming Chen , Guanghui Huang

We propose reverse time migration (RTM) methods for the imaging of periodic obstacles using only measurements from lower or upper side of the obstacle arrays at a fixed frequency. We analyze the resolution of the lower side and upper side…

数值分析 · 数学 2023-04-10 Lide Cai , Junqing Chen

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 resolution of the single frequency reverse time migration (RTM) method for extended targets without the assumption of the validation of geometric optics approximation. The resolution analysis, which applies in both…

数学物理 · 物理学 2014-06-11 Junqing Chen , Zhiming Chen , Guanghui Huang

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 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

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 the inverse problem of scattering of time-harmonic acoustic waves from a penetrable and buried obstacles. By introducing a related transmission scattering problem, a Newton iteration method is proposed to…

数值分析 · 数学 2015-06-12 Haiwen Zhang , Bo Zhang

This paper is concerned with the inverse problem of determining an obstacle and the corresponding incident point sources in the Helmholtz equation from near-field scattering data. An optimization method is proposed to simultaneously recover…

偏微分方程分析 · 数学 2021-12-24 Yan Chang , Yukun Guo

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 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 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 propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data. We prove that the imaging resolution of the method is essentially the same as the imaging…

数值分析 · 数学 2015-02-04 Zhiming Chen , Guanghui Huang

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 are concerned with the inverse scattering by interfaces for the linearized and isotropic elastic model at a fixed frequency. First, we derive complex geometrical optic solutions with linear or spherical phases having a…

偏微分方程分析 · 数学 2013-11-19 Manas Kar , Mourad Sini
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