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Time harmonic inverse scattering using accurate forward models is often computationally expensive. On the other hand, the use of computationally efficient solvers, such as the Born approximation, may fail if the targets do not satisfy the…

计算物理 · 物理学 2019-07-05 Jari P. Kaipio , Tomi Huttunen , Teemu Luostari , Timo Lähivaara , Peter B. Monk

Electromagnetic scattering on a sphere is one of the most fundamental problems, which has a closed form analytical solution in the form of Mie series. Being initially formulated for a plane incident wave, the formalism can be extended to…

光学 · 物理学 2021-06-11 Yuval Kashtera , Eran Falek , Pavel Ginzburg

This paper presents a fast high-order method for the solution of two-dimensional problems of scattering by penetrable inhomogeneous media, with application to high-frequency configurations containing (possibly) discontinuous refractivities.…

数值分析 · 数学 2023-07-31 Oscar P. Bruno , Ambuj Pandey

We present an imaging technique particularly suited to the detection of a target embedded in a strongly scattering medium. Classical imaging techniques based on the Born approximation fail in this kind of configuration because of multiply…

经典物理 · 物理学 2009-08-21 Alexandre Aubry , Arnaud Derode

Using the traditional surface integral methods, the computation of scattering from a dielectric object requires two equivalent current densities on the boundary of the dielectric. In this paper, we present an approach that requires only a…

计算工程、金融与科学 · 计算机科学 2017-08-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

This paper introduces a novel matrix-free approach for full waveform inversion in anisotropic elastic media, incorporating density variation through the utilization of the distorted Born iterative method. This study aims to overcome the…

地球物理 · 物理学 2024-02-06 Kui Xiang , Morten Jakobsen , Ujjwal Shekhar , Kjersti Solberg Eikrem , Geir Nævdal

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

光学 · 物理学 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

We examine harmonic oscillator defects coupled to a photon field in the environs of an optical fiber. Using techniques borrowed or extended from the theory of two dimensional quantum fields with boundaries and defects, we are able to…

高能物理 - 理论 · 物理学 2008-11-26 Robert Konik , Andre LeClair

We present a solver for plane wave scattering from a periodic dielectric grating with a large number $M$ of inclusions lying in each period of its middle layer.Such composite material geometries have a growing role in modern photonic…

数值分析 · 数学 2016-05-04 Jun Lai , Motoki Kobayashi , Alex Barnett

We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We employ the theory of…

数值分析 · 数学 2024-07-18 Yakun Dong , Kamran Sadiq , Otmar Scherzer , John C. Schotland

We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic representation formula for the scattered wave away from the thin…

偏微分方程分析 · 数学 2020-10-05 Yves Capdeboscq , Roland Griesmaier , Marvin Knöller

Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary integral formulation is proposed and its highly accurate…

数值分析 · 数学 2020-07-20 Heping Dong , Jun Lai , Peijun Li

In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal…

计算物理 · 物理学 2022-05-25 Hector Lopez-Menchon , Juan M. Rius , Alexander Heldring , Eduard Ubeda

We introduce a Monte Carlo integration-based Shooting and Bouncing Ray (SBR) algorithm for electromagnetic scattering, specifically targeting complex dielectric materials. Unlike traditional deterministic SBR methods, our approach is the…

计算工程、金融与科学 · 计算机科学 2025-11-12 Samuel Audia , Dinesh Manocha , Matthias Zwicker

Three-dimensional phase contrast imaging of multiply-scattering samples in X-ray and electron microscopy is extremely challenging, due to small numerical apertures, the unavailability of wavefront shaping optics, and the highly nonlinear…

Full-wave electromagnetic simulations of electrically large arrays of complex antennas and scatterers are challenging, as they consume large amount of memory and require long CPU times. This paper presents a new reduced-order modeling…

计算工程、金融与科学 · 计算机科学 2018-12-05 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

An efficient hybrid numerical method for multiple scattering calculations is proposed. We use the well established doubling--adding method to find the reflection function of the lowermost homogeneous slab comprising the atmosphere of our…

天体物理仪器与方法 · 物理学 2016-11-04 Kiyoshi Kawabata

In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach combines a novel…

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

数值分析 · 数学 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

We introduce a novel reflection-mode diffraction tomography technique that enables simultaneous recovery of forward and backward scattering information for high-resolution 3D refractive index reconstruction. Our technique works by imaging a…

光学 · 物理学 2025-02-12 Tongyu Li , Jiabei Zhu , Yi Shen , Lei Tian
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