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Ultrafast x-ray scattering experiments are routinely analyzed in terms of the isotropic scattering component. Here we present an analytical method for calculating total isotropic scattering directly from ab initio two-electron densities of…

化学物理 · 物理学 2020-03-05 Nikola Zotev , Andres Moreno Carrascosa , Mats Simmermacher , Adam Kirrander

Strong multiple scattering of the probe in scanning transmission electron microscopy (STEM) means image simulations are usually required for quantitative interpretation and analysis of elemental maps produced by electron energy-loss…

材料科学 · 物理学 2019-12-25 Hamish G. Brown , Jim Ciston , Colin Ophus

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

We apply to the nucleon-nucleus inelastic process a fully coherent microscopic multiple scattering approach. Our study addresses the complexities inherent in characterizing inelastic scattering events, offering a comprehensive theoretical…

核理论 · 物理学 2026-03-30 Matteo Vorabbi , Michael Gennari , Paolo Finelli , Carlotta Giusti , Petr Navrátil

Elastic wave propagation is studied in a heterogeneous 2-D medium consisting of an elastic matrix containing randomly distributed circular elastic inclusions. The aim of this study is to determine the effective wavenumbers when the incident…

经典物理 · 物理学 2016-06-29 Mathieu Chekroun , Loïc Le Marrec , Bruno Lombard , Joël Piraux

Highly inelastic electron scattering is analyzed within the context of the unified relativistic approach previously considered in the case of quasielastic kinematics. Inelastic relativistic Fermi gas modeling that includes the complete…

核理论 · 物理学 2009-11-10 M. B. Barbaro , J. A. Caballero , T. W. Donnelly , C. Maieron

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

偏微分方程分析 · 数学 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

We consider the problem of elastic diffraction tomography, which consists in reconstructing elastic properties (i.e. mass density and elastic Lam\'e parameters) of a weakly scattering medium from full-field data of scattered waves outside…

偏微分方程分析 · 数学 2022-12-07 Bochra Mejri , Otmar Scherzer

In this work we devise a theoretical and computational method to compute the elastic scattering of electrons from a non-spherical potential, such as in the case of molecules and molecular aggregates. Its main feature is represented by the…

化学物理 · 物理学 2023-01-18 Francesca Triggiani , Tommaso Morresi , Simone Taioli , Stefano Simonucci

In this work, we study the elastic scattering behavior of electron vortices when propagating through amorphous samples. We use a formulation of the multislice approach in cylindrical coordinates to theoretically investigate the…

材料科学 · 物理学 2021-03-22 Stefan Löffler , Stefan Sack , Thomas Schachinger

Scattering by an isolated defect embedded in a dielectric medium of two dimensional periodicity is of interest in many sub-fields of electrodynamics. Present approaches to compute this scattering rely either on the Born approximation and…

介观与纳米尺度物理 · 物理学 2021-05-10 Kuljit S. Virk

Based on an invariant embedding principle for the backscattering function we calculate the electron emission yield for metal surfaces at very low electron impact energies. Solving the embedding equation within a quasi-isotropic…

材料科学 · 物理学 2022-04-06 F. X. Bronold , H. Fehske

This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a single incident plane wave. By introducing the Helmholtz…

偏微分方程分析 · 数学 2018-12-03 Heping Dong , Jun Lai , Peijun Li

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

数学物理 · 物理学 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using the complex Green's tensor of the elastic wave equation, we utilize the Helmholtz decomposition to convert…

数值分析 · 数学 2020-08-17 Jun Lai , Peijun Li

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

原子物理 · 物理学 2022-08-01 A. S. Baltenkov , I. Woiciechowski

In this paper, we study a fast approximate inference method based on expectation propagation for exploring the posterior probability distribution arising from the Bayesian formulation of nonlinear inverse problems. It is capable of…

数值分析 · 数学 2015-06-18 Matthias Gehre , Bangti Jin

Elastic scattering of a twisted (Bessel) electron beam by CO$_2$ molecules is studied theoretically at high energies. The molecule's structure is optimized using coupled cluster theory and density functional theory with…

量子物理 · 物理学 2026-04-20 Raul Sheldon Pinto , Rakesh Choubisa

This article investigates the velocity dispersion and the spurious reflection of the viscoelastic wave that occur in the numerical integration of the viscoelastic wave equation. For this purpose, the classic finite element of two nodes,…

数值分析 · 数学 2020-06-03 José Elias Laier

We present a scattering theory description for the inelastic current noise in the presence of electron-vibration interactions. In this description, we specify elastic and inelastic scattering contributions to the shot noise by examining…

介观与纳米尺度物理 · 物理学 2017-09-15 Sejoong Kim
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