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The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ken Wang , Zhen Ye

We present a boundary integral formulation of electromagnetic scattering by homogeneous bodies that are characterized by linear constitutive equations in the frequency domain. By working with the Cartesian components of the electric, E and…

Computational Physics · Physics 2018-12-18 Qiang Sun , Evert Klaseboer , Derek Y. C. Chan

We investigate spin-wave modes in confined ferromagnetic resonators with spherical and cylindrical geometries across the exchange-dominated, dipole-exchange, and dipolar interaction regimes. Starting from the linearized…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Fedor Shuklin , Khristina Albitskaya , Sergei Solovyov , Alexander Chernov , Mihail Petrov

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff's integral is modified to provide explicit expressions for these…

Optics · Physics 2019-03-27 Ulrich Brosa

We present methods for analyzing and designing cylindrical electromagnetic metasurfaces with non-circular cross sections based on conformal transformations. It can be difficult to treat surfaces with non-canonical geometries since they…

Optics · Physics 2022-03-10 Gengyu Xu , George V. Eleftheriades , Sean V. Hum

In the frame of volume integral equation methods, we introduce an alternative representation of the electromagnetic field scattered by a homogeneous object of arbitrary shape at a given frequency, in terms of a set of modes independent of…

Boundary integral equation methods for analyzing electromagnetic scattering phenomena typically suffer from several of the following problems: (i) ill-conditioning when the frequency is low; (ii) ill-conditioning when the discretization…

Computational Physics · Physics 2020-06-24 Adrien Merlini , Yves Beghein , Kristof Cools , Eric Michielssen , Francesco P. Andriulli

We derive the invariant imbedding equations for plane electromagnetic waves propagating in stratified magnetic media, where both dielectric and magnetic permeabilities vary in one spatial direction in an arbitrary manner. These equations…

Condensed Matter · Physics 2007-05-23 Kihong Kim , H. Lim , Dong-Hun Lee

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method,…

Analysis of PDEs · Mathematics 2024-12-19 George C. Hsiao , Tonatiuh Sánchez-Vizuet , Wolfgang L. Wendland

We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation of waves is described by the Helmholtz equation with the…

Mathematical Physics · Physics 2019-05-30 Yuri A. Godin , Boris Vainberg

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all…

Computational Physics · Physics 2020-02-18 Johan Helsing , Anders Karlsson

We present a numerical approach to efficiently calculate spin-wave dispersions and spatial mode profiles in magnetic waveguides of arbitrarily shaped cross section with any non-collinear equilibrium magnetization which is translationally…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Lukas Körber , Gwendolyn Quasebarth , Andreas Otto , Attila Kákay

The wave propagation of edge modes in a superlattice of 2D electron Gases in quantum Hall regime is investigated. After introducing surfaces charge and current densities at the edge, the Maxwell equations are solved for waves running along…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pavel Fileviez Perez , Alejandro Cabo Montes de Oca , Carlos Rodriguez Castellanos

The present study deals with total internal reflection of a plane electromagnetic wave at an infinite plane boundary between a transparent medium and an amplifying or attenuating lower-index medium. Solutions of Maxwell's equations are…

Optics · Physics 2023-06-13 Takeyuki Kobayashi

Conventional electric field integral equation based theory is susceptible to the spurious internal resonance problem when the characteristic modes of closed perfectly conducting objects are computed iteratively. In this paper, we present a…

Mathematical Physics · Physics 2015-10-28 Qi I. Dai , Qin S. Liu , Hui Gan , Weng Cho Chew

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

Wave propagation and acoustic scattering problems require vast computational resources to be solved accurately at high frequencies. Asymptotic methods can make this cost potentially frequency independent by explicitly extracting the…

Numerical Analysis · Mathematics 2018-01-16 Daan Huybrechs , Peter Opsomer

In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay
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