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We propose a self-consistent simulation model for particle beams in accelerators, which includes the impact of electromagnetic wakefields caused by the geometry of the accelerator chamber. The method is based on a scattered-field…

计算物理 · 物理学 2026-03-13 J. Christ , E. Gjonaj , H. De Gersem

We have implemented a three-dimensional finite element approach, based on tricubic polynomials in spherical coordinates, which solves the Schrodinger equation for scattering of a low energy electron from a molecule, approximating the…

化学物理 · 物理学 2009-11-10 Stefano Tonzani , Chris H. Greene

We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is…

高能天体物理现象 · 物理学 2015-05-13 K. N. Gourgouliatos

The stress tensor for the quantized electromagnetic field is calculated in the region between a pair of dispersive, dielectric half-spaces. This generalizes the stress tensor for the Casimir energy to the case where the boundaries have…

量子物理 · 物理学 2014-11-18 V. Sopova , L. H. Ford

The coherence length of the thermal electromagnetic field near a planar surface has a minimum value related to the nonlocal dielectric response of the material. We perform two model calculations of the electric energy density and the…

光学 · 物理学 2009-10-17 Carsten Henkel , Karl Joulain

Although high-order Maxwell integral equation solvers provide significant advantages in terms of speed and accuracy over corresponding low-order integral methods, their performance significantly degrades in presence of non-smooth…

数值分析 · 数学 2025-01-31 Constantine Sideris , Davit Aslanyan , Oscar P. Bruno

We analytically calculate the energy spectrum of a circular graphene quantum dot with radius R subjected to a perpendicular magnetic field B by applying the infinite-mass boundary condition. We can retrieve well-known limits for the cases…

介观与纳米尺度物理 · 物理学 2009-02-27 S. Schnez , K. Ensslin , M. Sigrist , T. Ihn

The calculation of the acoustic field in or around objects is an important task in acoustic engineering. To numerically solve this task, the boundary element method (BEM) is a commonly used method especially for infinite domains. The open…

数值分析 · 数学 2024-11-01 Wolfgang Kreuzer , Katharina Pollack , Fabian Brinkmann , Piotr Majdak

In this paper, we perform a numerical analysis in frequency domain for various electromagnetic problems based on discrete exterior calculus (DEC) with an arbitrary 2-D triangular or 3-D tetrahedral mesh. We formulate the governing equations…

计算物理 · 物理学 2017-10-11 Shu Chen , Weng Cho Chew

In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string.…

高能物理 - 理论 · 物理学 2011-02-11 A. E. Shabad , V. V. Usov

We apply the hp-version of the boundary element method (BEM) for the numerical solution of the electric field integral equation (EFIE) on a Lipschitz polyhedral surface G. The underlying meshes are supposed to be quasi-uniform…

数值分析 · 数学 2010-10-08 Alexei Bespalov , Norbert Heuer

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the centres of the cylinders are distributed so that their…

计算物理 · 物理学 2015-06-05 A. G. Ramm , M. I. Andriychuk

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

数值分析 · 计算机科学 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

计算工程、金融与科学 · 计算机科学 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

We consider a set of electrostatic problems relevant for determining the real-space structure and the ground-state energy of a two-dimensional electron liquid subject to smooth external potentials. Three fundamental geometries are…

介观与纳米尺度物理 · 物理学 2007-05-23 M. M. Fogler

The impact of the strongly attractive electromagnetic field of heavy nuclei on electrons in quasi-elastic (e,e') scattering is often accounted for by the effective momentum approximation. This method is a plane wave Born approximation which…

核理论 · 物理学 2011-11-09 Andreas Aste , Dirk Trautmann

We compute the electromagnetic field created by an ultrarelativistic charged particle in vacuum at distances comparable to the particle Compton wavelength. The wave function of the particle is governed by the Klein-Gordon equation, for a…

核理论 · 物理学 2018-03-14 Balthazar Peroutka , Kirill Tuchin

Starting from Stratton-Panofsky-Phillips-Jefimenko equations for the electric and magnetic fields generated by completely arbitrary charge and current density distributions at rest, we derive far-zone approximations for the fields,…

经典物理 · 物理学 2010-01-11 B. Thidé , J. Lindberg , H. Then , F. Tamburini

Electrostatic interactions between dielectric objects are complex and of a many-body nature, owing to induced surface bound charge. We present a collection of techniques to simulate dynamical dielectric objects. We calculate the surface…

软凝聚态物质 · 物理学 2018-09-17 Kipton Barros , Daniel Sinkovits , Erik Luijten

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional…

天体物理学 · 物理学 2009-10-30 David L. Meier