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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

In this paper, we use Yukawa theory to calculate differential and total cross-sections for elastic and inelastic scattering in nucleon-nucleon interactions. We start from the fundamental Lagrangian and derive the $T$-matrix and hence the…

核理论 · 物理学 2023-05-24 Raghad Al-Bakri , Bassam Shehadeh

The dynamics and processes involved in particle-molecule scattering, including nuclear dynamics, are described and analyzed using various quantum information quantities throughout the different stages of the scattering. The main process…

量子物理 · 物理学 2025-05-22 Martin Mendez , Federico M. Pont

Recent theoretical and experimental advances have shed light on the existence of so-called `perfectly transmitting' wavefronts with transmission coefficients close to 1 in strongly backscattering random media. These perfectly transmitting…

光学 · 物理学 2015-06-18 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

In the density distribution of a deformed target-nucleus, the spherical $\lambda = 0$ and the deformed $\lambda = 2$ parts were considered. On this basis, the corresponding potential parts $U_0$ and $U^{(2)}_{int}$ of a double -folding…

The real-space multiple-scattering (RSMS) approach is applied to model non-resonant inelastic scattering from deep core electron levels over a broad energy spectrum. This approach is applicable to aperiodic or periodic systems alike and…

其他凝聚态物理 · 物理学 2009-11-11 J. A. Soininen , A. L. Ankudinov , J. J. Rehr

The elastic scattering of twisted electrons by diatomic molecules is studied within the framework of the non-relativistic first Born approximation. In this process, the coherent interaction of incident electrons with two molecular centers…

原子物理 · 物理学 2018-10-17 A. V. Maiorova , S. Fritzsche , R. A. Mueller , A. Surzhykov

We describe a method of white-beam inelastic neutron scattering for improved measurement efficiency. The method consists of matrix inversion and selective extraction. The former is to resolve each incident energy component from the…

材料科学 · 物理学 2015-03-19 K. Tomiyasu , M. Matsuura , H. Kimura , K. Iwasa , K. Ohoyama , T. Yokoo , S. Itoh , E. Kudoh , T. Sato , M. Fujita

Representation of the elastic scattering amplitude in the form of the path integral is obtained using the stationary Schroedinger equation. A few methods of evaluation of path integrals for large coupling constants are formulated. The…

数学物理 · 物理学 2015-06-16 G. V. Efimov

We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of those schemes are…

偏微分方程分析 · 数学 2013-10-15 Guanghui Hu , Jingzhi Li , Hongyu Liu , Hongpeng Sun

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

原子物理 · 物理学 2022-09-20 A. S. Baltenkov , I. Woiciechowski

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in…

材料科学 · 物理学 2013-04-09 Stefan Löffler , Peter Schattschneider

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

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

A quantum-mechanical model to calculate the electron energy-loss spectra (EELS) for the system of a closely located metallic nanoshell and a molecule has been developed. At the resonance between the molecular excitation and plasmon modes in…

原子物理 · 物理学 2014-10-07 I. Yu. Goliney , Ye. V. Onykienko

It has been argued that in atomic-resolution transmission electron microscopy (TEM) of sparse weakly scattering structures, such as small biological molecules, multiple electron scattering usually has only a small effect, while the…

光学 · 物理学 2021-11-16 T. E. Gureyev , H. M. Quiney , A. Kozlov , D. M. Paganin , G. Schmalz , L. J. Allen

The differential cross-sections for elastic and inelastic neutrino-deuteron scattering are calculated analytically using nucleon-nucleon effective field theory. For elastic scattering, the deuteron axial form factor and the deuteron strange…

核理论 · 物理学 2009-10-31 Malcolm Butler , Jiunn-Wei Chen

In this work we consider the inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The inverse problem, using the third Betti's formula (direct…

偏微分方程分析 · 数学 2018-10-22 Roman Chapko , Drossos Gintides , Leonidas Mindrinos

This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the point-interaction model for the Lam\'{e} operator…

数学物理 · 物理学 2019-11-26 Guanghui Hu , Andrea Mantile , Mourad Sini , Tao Yin

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