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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 introduce a numerical method that enables efficient modelling of light scattering by large, disordered ensembles of non-spherical particles incorporated in stratified media, including when the particles are in close vicinity to each…

The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as an integral supported by any smooth surface enclosing the scatterers. This is a generalization of the series…

数学物理 · 物理学 2024-10-22 Didier Felbacq , Anthony Gourdin , Emmanuel Rousseau

We consider the inverse scattering problem associated with any number of interacting modes in one-dimensional structures. The coupling between the modes is contradirectional in addition to codirectional, and may be distributed continuously…

数学物理 · 物理学 2011-11-10 Ole Henrik Waagaard , Johannes Skaar

In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of…

数值分析 · 数学 2007-05-23 Alexander G. Ramm , Semion Gutman

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

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

Clusters of wave-scattering oscillators offer the ability to passively control wave energy in elastic continua. However, designing such clusters to achieve a desired wave energy pattern is a highly nontrivial task. While the forward…

信号处理 · 电气工程与系统科学 2024-02-29 Joshua R. Tempelman , Tobias Weidemann , Eric B. Flynn , Kathryn H. Matlack , Alexander F. Vakakis

Many applications require recovering the geometry information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic scattering of multiple rigid particles in three…

数学物理 · 物理学 2022-09-21 Jun Lai , Jinrui Zhang

In the reconstruction process of unknown multiple scattering objects in inverse medium scattering problems, the first important step is to effectively locate some approximate domains that contain all inhomogeneous media. Without such an…

数值分析 · 数学 2015-06-12 Keji Liu , Jun Zou

The light scattering of multilayer nanoparticles can be solved by Maxwell equations. However, it is difficult to solve the inverse design of multilayer nanoparticles by using the traditional trial-and-error method. Here, we present a method…

信号处理 · 电气工程与系统科学 2020-03-19 Cankun Qiu , Zhi Luo , Xia Wu , Huidong Yang , Bo Huang

Inverse scattering in layered media has a wide range of applications, examples including geophysical exploration, medical imaging, and remote sensing. In this paper, we develop a selective focusing method for identifying multiple unknown…

数值分析 · 数学 2025-05-27 Jun Lai , Jinrui Zhang

We study the inverse problem of locating point sources from far-field data under plane wave incidence. A direct computational method is developed based on multiple scattering theory, using a novel indicator function to avoid iterative…

偏微分方程分析 · 数学 2025-09-18 Nana Meng

A scattering vector is a local descriptor including multiscale and multi-direction co-occurrence information. It is computed with a cascade of wavelet decompositions and complex modulus. This scattering representation is locally translation…

计算机视觉与模式识别 · 计算机科学 2013-11-21 Joan Bruna , Stéphane Mallat

The synthesis of a metasurface exhibiting a specific set of desired scattering properties is a time-consuming and resource-demanding process, which conventionally relies on many cycles of full-wave simulations. It requires an experienced…

信号处理 · 电气工程与系统科学 2021-09-15 Parinaz Naseri , Sean V. Hum

This paper aims to solve numerically the two-dimensional inverse medium scattering problem with far-field data. This is a challenging task due to the severe ill-posedness and strong nonlinearity of the inverse problem. As already known, it…

数值分析 · 数学 2025-09-25 Kai Li , Bo Zhang , Haiwen Zhang

An inverse scattering problem is formulated for reconstructing optical properties of biological tissues. A recursive linearization algorithm is used to solve the inverse scattering problem. We employed the idea of finite element boundary…

数值分析 · 数学 2014-04-30 Ying Li

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

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

材料科学 · 物理学 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

The detection and classification of microplastics in water remain a significant challenge due to their diverse properties and the limitations of traditional optical methods. Standard spectroscopic techniques often suffer from the strong…

计算机视觉与模式识别 · 计算机科学 2026-03-25 Leonard Saur , Marc von Pawlowski , Ulrich Gengenbach , Ingo Sieber , Hossein Shirali , Lorenz Wührl , Xiangyu Weng , Rainer Kiko , Christian Pylatiuk
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