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We consider an inverse scattering problem for time-harmonic acoustic or electromagnetic waves. The goal is to localize several small penetrable objects embedded inside an otherwise homogeneous background medium from observations of far…

数值分析 · 数学 2017-04-05 Roland Griesmaier , Christian Schmiedecke

A method for particle orientation tracking is developed and demonstrated specifically for anisotropic particles. Using (high-speed) multi-camera recordings of anisotropic particles from different viewpoints, we reconstruct the 3D location…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Mees M. Flapper , Elian Bernard , Sander G. Huisman

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

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

Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper is concerned with the inverse problem of recovering the…

偏微分方程分析 · 数学 2025-06-02 Chun Liu , Guanghui Hu , Tao Yin , Bo Zhang

Due to manufacturing defects or wear and tear, industrial components may have uncertainties. In order to evaluate the performance of machined components, it is crucial to quantify the uncertainty of the scattering surface. This brings up an…

数值分析 · 数学 2025-04-28 Yi Wang , Lei Lin , Junliang Lv

This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell's equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic…

数值分析 · 数学 2020-08-25 Dinh-Liem Nguyen , Trung Truong

In this paper, we study time-harmonic electromagnetic scattering in two scenarios, where the anomalous scatterer is either a pair of electromagnetic sources or an inhomogeneous medium, both with compact supports. We are mainly concerned…

偏微分方程分析 · 数学 2022-04-07 Huaian Diao , Xiaoxu Fei , Hongyu Liu , Ke Yang

An innovative 3-D radar imaging technique is developed for fast and efficient identification and characterization of radar backscattering components of complex objects, when the collected scattered field is made of polarization-diverse…

信息论 · 计算机科学 2015-06-25 Pierre Minvielle , Pierre Massaloux , Jean-François Giovannelli

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

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

数值分析 · 数学 2020-10-28 Carlos Borges , Jun Lai

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

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

This paper concerns the reconstruction of multiple elastic parameters (Lam\'e parameters and density) of an inhomogeneous medium embedded in an infinite homogeneous isotropic background in $\mathbb{R}^2$. The direct scattering problem is…

数值分析 · 数学 2019-02-13 Gang Bao , Tao Yin , Fang Zeng

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of…

数值分析 · 数学 2015-06-22 Jun Lai , Motoki Kobayashi , Leslie Greengard

We introduce a novel framework that incorporates multiple scattering for large-scale 3D particle-localization using single-shot in-line holography. Traditional holographic techniques rely on single-scattering models which become inaccurate…

信号处理 · 电气工程与系统科学 2019-06-19 Waleed Tahir , Ulugbek S. Kamilov , Lei Tian

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

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

偏微分方程分析 · 数学 2023-11-29 General Ozochiawaeze

Multiple light scattering hampers imaging objects in complex scattering media. Approaches used in real practices mainly aim to filter out multiple scattering obscuring the ballistic waves that travel straight through the scattering medium.…

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