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A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

光学 · 物理学 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

The scattering of an electromagnetic plane wave from Young pinholes upon a quasi-homogeneous (QH) anisotropic medium is studied within the accuracy of the first-order Born approximation. By assuming that the diffractive wave from pinholes…

光学 · 物理学 2017-06-27 Josh Abbey , Lin Frank Chan

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

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

We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic representation formula for the scattered wave away from the thin…

偏微分方程分析 · 数学 2020-10-05 Yves Capdeboscq , Roland Griesmaier , Marvin Knöller

We consider a polyhedron with zero classical resistance, i.e., a polyhedron invisible to an observer viewing only the paths of geometrical optics rays. The corresponding problem of scattering of plane waves by the polyhedron is studied. The…

数学物理 · 物理学 2012-04-19 E. Lakshtanov , B. D. Sleeman , B. Vainberg

In this tutorial paper, we consider the problem of electromagnetic scattering by a bounded two-dimensional dielectric object, and discuss certain interesting properties of the scattered field. Using the electric field integral equation,…

光学 · 物理学 2015-07-08 Uday K. Khankhoje , Kushal Shah

The relativistic scattering of a spin-1/2 particle from an infinitely long solenoid is considered in the framework of covariant perturbation theory. The first order term agrees with the corresponding term in the series expansion of the…

高能物理 - 理论 · 物理学 2009-10-31 M. Boz , N. K. Pak

In conventional scattering theory, to obtain an explicit result, one imposes a precondition that the distance between target and observer is infinite. With the help of this precondition, one can asymptotically replace the Hankel function…

数学物理 · 物理学 2014-06-23 Tong Liu , Wen-Du Li , Wu-Sheng Dai

We derive an analytical expression for the scattering of a scalar wave from a perfectly conducting self-affine one dimensional surface in the framework of the Kirchhoff approximation. We show that most of the results can be recovered via a…

其他凝聚态物理 · 物理学 2009-11-10 Ingve Simonsen , Damien Vandembroucq , Stephane Roux

Fully non-linear, plane-symmetric exact solutions of the Einstein equations describing the scattering of gravitational and electromagnetic waves have existed for many years. For these closed-form solutions to be found, idealized wave…

广义相对论与量子宇宙学 · 物理学 2024-08-13 Breanna Camden , Chris Stevens , John Forbes

In the present paper we investigate the transmission and reflection band behavior for a plane electromagnetic wave falling obliquely on an ideal layered structure. The dependence of this behavior on the problem parameters and wave incident…

光学 · 物理学 2007-05-23 A. Zh. Khachatrian

In [J. A. Rebou\c{c}as and P. A. Brand\~{a}o, Phys. Rev. A 104, 063514 (2021)] the authors compute the scattering amplitude for a $\mathcal{P}\mathcal{T}$-symmetric double-delta-function potential in three dimensions by invoking the…

量子物理 · 物理学 2023-07-21 Farhang Loran , Ali Mostafazadeh , Sema Seymen , O. Teoman Turgut

We study the no reflection condition for a planar boundary between vacuum and an isotropic chiral medium. In general chiral media, elliptically polarized waves incident at a particular angle satisfy the no reflection condition. When the…

光学 · 物理学 2009-11-13 Y. Tamayama , T. Nakanishi , K. Sugiyama , M. Kitano

Perturbation theory is applied to one-dimensional scattering systems consisting of a general class of inhomogeneous and isotropic slabs having size $L$ described by the relative permittivity $\varepsilon(z) = 1 + \alpha \chi(z)$, where…

光学 · 物理学 2022-10-19 J. A. Rebouças , P. A. Brandão

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

光学 · 物理学 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

Theory of scattering by many small bodies is developed under various assumptions concerning the ratio $\frac{a}{d}$, where $a$ is the characteristic dimension of a small body and $d$ is the distance between neighboring bodies $d =…

数学物理 · 物理学 2009-11-13 A. G. Ramm

We study the invisibility via anomalous localized resonance of a general source for electromagnetic waves in the setting of doubly complementary media. As a result, we show that cloaking is achieved if the power is blown up. We also reveal…

偏微分方程分析 · 数学 2019-06-17 Hoai-Minh Nguyen

We study the behavior of wave propagation in materials for which not all of the principle elements of the permeability and permittivity tensors have the same sign. We find that a wide variety of effects can be realized in such media,…

材料科学 · 物理学 2009-11-07 D. R. Smith , D. Schurig