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This paper is concerned with the inverse electromagnetic scattering problem for anisotropic media. We use the interior resonant modes to develop an inverse scattering scheme for imaging the scatterer. The whole procedure consists of three…

偏微分方程分析 · 数学 2022-09-12 Youzi He , Hongjie Li , Hongyu Liu , Xianchao Wang

Multiple scattering of polarised electromagnetic waves in diffusive media is investigated by means of radiative transfer theory. The method becomes exact in several situations of interest, such as a thick-slab experiment (slab thickness L…

凝聚态物理 · 物理学 2009-10-28 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

Scattering of a scalar particle on a crystalline plane with quadratic cell and identical fixed scatterers is solved precisely. Contradiction of the standard scattering theory is pointed out.

综合物理 · 物理学 2013-08-07 V. K. Ignatovich

This investigation is concerned with the 2D acoustic scattering problem of a plane wave propagating in a non-lossy fluid host and soliciting a linear, isotropic, macroscopically-homogeneous, lossy, flat-plane layer in which the mass density…

应用物理 · 物理学 2019-05-01 Armand Wirgin

We study an inverse acoustic scattering problem by the Factorization Method when the unknown scatterer consists of two objects with different physical properties. Especially, we consider the following two cases: One is the case when each…

偏微分方程分析 · 数学 2021-06-16 Takashsi Furuya

In electromagnetic inverse scattering, the goal is to reconstruct object permittivity using scattered waves. While deep learning has shown promise as an alternative to iterative solvers, it is primarily used in supervised frameworks which…

In this tutorial paper, we consider the problem of electromagnetic scattering by a bounded two-dimensional dielectric object, and discuss certain interesting properties of the scattered field. Using the electric field integral equation,…

光学 · 物理学 2015-07-08 Uday K. Khankhoje , Kushal Shah

Optical diffraction tomography relies on solving an inverse scattering problem governed by the wave equation. Classical reconstruction algorithms are based on linear approximations of the forward model (Born or Rytov), which limits their…

计算工程、金融与科学 · 计算机科学 2017-09-01 Emmanuel Soubies , Thanh-An Pham , Michael Unser

Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions at infinity is borderline and scattering fails just barely.…

偏微分方程分析 · 数学 2022-12-21 Mihaela Ifrim , Daniel Tataru

Unsupervised source separation involves unraveling an unknown set of source signals recorded through a mixing operator, with limited prior knowledge about the sources, and only access to a dataset of signal mixtures. This problem is…

Current strategies for solving image-based inverse problems apply latent diffusion models to perform posterior sampling.However, almost all approaches make no explicit attempt to explore the solution space, instead drawing only a single…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Amir Nazemi , Mohammad Hadi Sepanj , Nicholas Pellegrino , Chris Czarnecki , Paul Fieguth

Deep subspace clustering (DSC) networks based on self-expressive model learn representation matrix, often implemented in terms of fully connected network, in the embedded space. After the learning is finished, representation matrix is used…

计算机视觉与模式识别 · 计算机科学 2024-01-31 Lovro Sindičić , Ivica Kopriva

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

光学 · 物理学 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

Light scattering in dense media is a fundamental problem of many-body physics, which is also relevant for the development of optical devices. In this work we investigate experimentally light propagation in a dense sample of randomly…

In this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices. When illuminated by visible light, such particles can…

数学物理 · 物理学 2021-08-13 Habib Ammari , Bowen Li , Jun Zou

The synthesis of non-magnetic 2D dielectric cloaks as proper solutions of an inverse scattering problem is addressed in this paper. Adopting the relevant integral formulation governing the scattering phenomena, analytic and numerical…

经典物理 · 物理学 2017-06-29 Loreto Di Donato , Tommaso Isernia , Giuseppe Labate , Ladislau Matekovits

This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be…

数学物理 · 物理学 2026-05-20 Guillaume Bal , Xixian Wang , Zhongjian Wang

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

统计方法学 · 统计学 2023-10-02 Navid Shervani-Tabar

Here we discuss a particle-based approach to deal with systems of many identical quantum objects (particles) which never employs labels to mark them. We show that it avoids both methodological problems and drawbacks in the study of quantum…

量子物理 · 物理学 2018-06-18 Giuseppe Compagno , Alessia Castellini , Rosario Lo Franco

In this paper, a linear model based on multiple measurement vectors model is proposed to formulate the inverse scattering problem of highly conductive objects at one single frequency. Considering the induced currents which are mostly…

信号处理 · 电气工程与系统科学 2019-06-27 Shilong Sun , Bert Jan Kooij , Alexander G. Yarovoy