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The plasmon resonance has found important application in various systems, e.g., nanoantennas, solar panels, refractive index sensors. Unfortunately, a few analytical solutions for such systems are known. The work aims to find a solution for…

光学 · 物理学 2022-12-13 Alex Verevkin , Alex Bereza , David Shapiro

The scattering of electromagnetic wave by a periodic array of nanowires is calculated by the boundary element method. The method is extended to the infinite grating near the interface between two dielectrics. A special Green function is…

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

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

大气与海洋物理 · 物理学 2007-05-23 A. Soubret , G. Berginc

In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder in three dimensions. We…

数值分析 · 数学 2024-02-23 Drossos Gintides , Leonidas Mindrinos

This paper presents high-order integral equation methods for evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced…

计算物理 · 物理学 2015-06-19 Carlos Pérez-Arancibia , Oscar P. Bruno

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…

计算物理 · 物理学 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing many identical inclusions. Historically, this numerical…

数值分析 · 数学 2024-08-07 Carlos Borges , Leslie Greengard , Michael O'Neil , Manas Rachh

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

数学物理 · 物理学 2012-09-03 Alexander G. Ramm

Two-dimensional scattering by homogeneous and layered dielectric elliptical cylinders is analyzed following an analytical approach using Mathieu functions. Closed-form relations for the expansion coefficients of the resulting electric field…

计算物理 · 物理学 2008-08-18 E. Cojocaru

This paper is concerned with problems of scattering of time-harmonic acoustic waves by a two-layered medium with a non-locally perturbed boundary (called a rough boundary in this paper) in two dimensions, where a Dirichlet or impedance…

数值分析 · 数学 2025-08-14 Haiyang Liu , Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

Light scattering is one of the most important elementary processes in near-field optics. We build up the Born series for scattering by dielectric bodies with step boundaries. The Green function for a 2-dimensional homogeneous dielectric…

光学 · 物理学 2017-06-28 A. Bereza , A. Nemykin , S. Perminov , L. Frumin , D. Shapiro

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…

光学 · 物理学 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

In the diffraction of visible light by a dielectric microcylinder packages of evanescent waves always arise. However, a single-wave incidence corresponds to rather small impact of evanescent waves outside the cylinder. In this paper, we…

光学 · 物理学 2021-04-14 Vasily Klimov , Reza Heydarian , Constantin Simovski

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

原子物理 · 物理学 2023-08-23 V. A. Gradusov , S. L. Yakovlev

In this paper we consider the direct scattering problem of obliquely incident time-harmonic electromagnetic plane waves by an infinitely long dielectric cylinder. We assume that the cylinder and the outer medium are homogeneous and…

偏微分方程分析 · 数学 2016-06-08 Drossos Gintides , Leonidas Mindrinos

This paper presents a robust numerical solution to the electromagnetic scattering problem involving multiple multi-layered cavities in both transverse magnetic and electric polarizations. A transparent boundary condition is introduced at…

数值分析 · 数学 2023-08-14 Peijun Li , Xiaokai Yuan

This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an unbounded rough surface. Given a dipole point source, the direct problem is to determine…

偏微分方程分析 · 数学 2019-09-04 Peijun Li , Jue Wang , Lei Zhang

We study the direct and inverse scattering problems when the incident electromagnetic field is a time harmonic point- generated wave in a chiral medium and the scatterer is a perfectly conducting sphere. The exact Green s function and the…

经典物理 · 物理学 2008-12-12 Nikolaos Berketis , Christodoulos Athanasiadis

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…

计算物理 · 物理学 2019-05-01 Johan Helsing , Anders Karlsson
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