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The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

Computational Physics · Physics 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

Radiation from a charged particle travelling parallel to a rough surface has been considered. Spectral-angular intensity is calculated in the weak scattering regime. It is shown that the main contribution to the radiation intensity is…

Accelerator Physics · Physics 2015-05-30 Zh. S. Gevorkian

A 3D singular integral equation is derived for electromagnetic wave scattering by bodies of arbitrary shape. Its numerical solution by a projection method is outlined.

Mathematical Physics · Physics 2009-09-03 A. G. Ramm

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…

Numerical Analysis · Mathematics 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

Elastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by means of the Lippmann-Schwinger formalism…

Classical Physics · Physics 2022-10-18 Omer Haq , Sergei Shabanov

In this paper we review the results of the author on the theory of scalar and vector wave scattering by small bodies of an arbitrary shape with the emphasis on practical applicability of the formulas obtained and on the mathematical rigor…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such…

Analysis of PDEs · Mathematics 2020-12-10 Fang Zeng , Shixu Meng

Scattering of nonstationary electromagnetic fields from axially symmetrical bodies is numerically investigated. Simulations are performed using the time- and frequency-domain approaches. Computational results obtained for a finite perfectly…

Mathematical Physics · Physics 2007-05-23 I. G. Efimova

An integral equation-based numerical method for scattering from multi-dielectric cylinders is presented. Electromagnetic fields are represented via layer potentials in terms of surface densities with physical interpretations. The existence…

Computational Physics · Physics 2019-05-01 Johan Helsing , Anders Karlsson

In this paper, we consider the scattering of a time-dependent electromagnetic wave by an elastic body immersed in the lower half-space of a two-layered background medium which is separated by an unbounded rough surface. By proposing two…

Analysis of PDEs · Mathematics 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

Mathematical Physics · Physics 2024-07-09 Josselin Garnier , Basant Lal Sharma

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

Analysis of PDEs · Mathematics 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

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…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

Wave scattering from rough surfaces in addition the inverse scattering is an interesting approach to obtain the surface topography properties in various fields. Analytical expression in wave scattering from some known rough surfaces, not…

Optics · Physics 2013-01-15 M. Zamani , M. Salami , S. M. Fazeli , G. R. Jafari

Mie theory is one of the main tools describing scattering of propagating electromagnetic waves by spherical particles. Evanescent optical fields are also scattered by particles and exert radiation forces which can be used for optical…

Optics · Physics 2013-12-13 Aleksandr Y. Bekshaev , Konstantin Y. Bliokh , Franco Nori

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

We present a theoretical study of elastic spin-dependent electron scattering caused by a nonuniform Rashba spin-orbit coupling strength. Using the spin-generalized method of partial waves the scattering amplitude is exactly derived for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 András Pályi , Csaba Péterfalvi , József Cserti

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

Mathematical Physics · Physics 2011-01-18 A. G. Ramm