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A new proof is given of the existence of the solution to electromagnetic (EM) wave scattering problem for an impedance body of an arbitrary shape. The proof is based on the elliptic systems theory and elliptic estimates for the solutions of…

数学物理 · 物理学 2015-03-03 Alexander G. Ramm , Martin Schechter

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

In this article, we introduce a new viewpoint on electromagnetic scattering. Tailoring spectral electromagnetic response underpins important applications ranging from sensing to energy conversion, and is flourishing with new ideas from…

光学 · 物理学 2022-11-09 Lang Zhang , Francesco Monticone , Owen D. Miller

Scattering of electromagnetic (EM) waves by many small particles, embedded in a given medium, is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective…

光学 · 物理学 2011-01-25 A. G. Ramm

The inclusive electromagnetic responses in the quasi-elastic region are calculated with a model which considers the terms of the cluster expansion containinga single correlation line. The validity of this model is studied by comparing, in…

核理论 · 物理学 2007-05-23 J. E. Amaro , F. Arias de Saavedra , A. M. Lallena , G. Co' , A. Fabrocini , S. Rashad

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

偏微分方程分析 · 数学 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded…

偏微分方程分析 · 数学 2024-08-14 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

The coupled eta-N, pi-N, gamma-N system is described by a K-matrix method. The parameters in this model are adjusted to get an optimal fit to pi-N --->pi- N$, pi-N --->eta-N$, gamma-N--->pi-N and gamma-N --->eta-N data in an energy range of…

核理论 · 物理学 2007-05-23 A. M. Green , S. Wycech

In this paper we consider the electromagnetic scattering problem by an obstacle characterised by a Generalized Impedance Boundary Condition in the harmonic regime. These boundary conditions are well known to provide accurate models for thin…

偏微分方程分析 · 数学 2013-12-05 Nicolas Chaulet

Recent advances in electron microscopy allowed the generation of high-energy electron wave packets of ultrashort duration. Here we present a non-perturbative S-matrix theory for scattering of ultrashort electron wave packets by atomic…

原子物理 · 物理学 2026-05-08 Yuya Morimoto , Lars Bojer Madsen

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

数值分析 · 数学 2021-12-14 Shashwat Sharma , Piero Triverio

We show that a saturable single-frequency elastic T-matrix approach to scattering of light by atoms agrees remarkably well with a master equation description in the regime of unsaturated atoms, or for large separation between the atoms. If…

无序系统与神经网络 · 物理学 2007-05-23 Tom Savels , Allard P. Mosk , Ad Lagendijk

The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell's equations in an unbounded structure. An exact transparent boundary condition is developed to reformulate the scattering problem into an…

偏微分方程分析 · 数学 2016-04-27 Yixian Gao , Peijun Li

The problem of plane-wave diffraction on semi-infinite orthorhombic electromagnetic (photonic) crystals of general kind is considered. Boundary conditions are obtained in the form of infinite system of equations relating amplitudes of…

材料科学 · 物理学 2009-11-10 Pavel A. Belov , Constantin R. Simovski

In this paper, we study the problem of electromagnetic (EM) wave scattering by many small impedance bodies. A numerical method for solving this problem is presented. The problem is solved under the physical assumptions $a\ll d \ll \lambda$,…

经典物理 · 物理学 2017-10-19 Nhan Tran

A methodology for determining the scattered Electromagnetic (EM) fields present for interconnected regions with common metasurface boundaries is presented. The method uses a Boundary Element Method (BEM) formulation of the frequency domain…

计算物理 · 物理学 2020-01-08 Scott A. Stewart , Sanam Moslemi-Tabrizi , Tom. J. Smy , Shulabh Gupta

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

量子物理 · 物理学 2020-09-24 Farhang Loran , Ali Mostafazadeh

In experimental physics, it is essential to understand electromagnetic (EM) wave scattering across EM spectrum, from radio waves to X-rays, and is pivotal in driving photonics innovations. Recent advancements have uncovered phenomena like…

光学 · 物理学 2024-02-23 Deepanshu Trivedi , Arjuna Madanayake , Alex Krasnok

The propagation of electromagnetic waves in a linearly-varying index of refraction is a fundamental problem in wave physics, being relevant in fusion science for describing certain wave-based heating and diagnostic schemes. Here, an exact…

光学 · 物理学 2025-04-10 N. A. Lopez

In this article we present the exact representation of a fully correlated electronic wavefunction as the single-particle basis approaches completeness. It consists of a half-infinite chain of matrices of exponentially increasing size. The…

量子物理 · 物理学 2022-05-04 Gero Friesecke , Benedikt R. Graswald , Örs Legeza