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We discuss the propagation of electromagnetic waves on a rectangular lattice of polarizable point dipoles. For wavelengths long compared to the lattice spacing, we obtain the dispersion relation in terms of the lattice spacing and the…

Astrophysics · Physics 2007-05-23 D. Gutkowicz-Krusin , B. T. Draine

The problem of diffraction of an electromagnetic plane wave by a perfectly conducting circular disk and its complementary problem, diffraction by a circular hole in an infinite conducting plate, are rigorously solved using the method of the…

Classical Physics · Physics 2010-04-30 Muhammad Adnan Shahzad

We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one…

Mathematical Physics · Physics 2017-04-25 Felipe Vico , Leslie Greengard , Miguel Ferrando

In a recent paper, Klaseboer et al. (IEEE Trans. Antennas Propag., vol. 65, no. 2, pp. 972-977, Feb. 2017) developed a surface integral formulation of electromagnetics that does not require working with integral equations that have singular…

Computational Physics · Physics 2024-01-30 Derek Y. C. Chan , Alex J. Yuffa , Evert Klaseboer , Qiang Sun

The time-frequency integrals and the two-dimensional stationary phase method are applied to study the electromagnetic waves radiated by moving modulated sources in dispersive media. We show that such unified approach leads to explicit…

Quantum Physics · Physics 2012-12-11 Gennadiy Burlak , Vladimir Rabinovich

In this Letter, we introduce a representation of the electromagnetic field for the analysis and synthesis of the full-wave scattering by a homogeneous dielectric object of arbitrary shape in terms of a set of eigenmodes independent of its…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Carlo Forestiere , and Giovanni Miano

The extremely local electric field enhancement and light confinement is demonstrated in dielectric waveguide with corner and gap geometry. The numerical results reveal the local electric field enhancement in the vicinity of the apex of…

Optics · Physics 2014-07-29 Qijing Lu , Fang-Jie Shu , Chang-Ling Zou

The well-known "Sommerfeld radiation problem" of a small -Hertzian- vertical dipole above flat lossy ground is reconsidered. The problem is examined in the spectral domain, through which it is proved to yield relatively simple integral…

Classical Physics · Physics 2017-10-11 Seil Sautbekov , Sotiris Bourgiotis , Ariadni Chrysostomou , Panayiotis Frangos

A model of the three-dimensional rotating compressible Euler equations on the cubed sphere is presented. The model uses a mixed mimetic spectral element discretization which allows for the exact exchanges of kinetic, internal and potential…

Numerical Analysis · Mathematics 2020-12-01 D. Lee , A. Palha

Using the Finite-Difference-Time-Domain (FDTD) method, we compute the electromagnetic field distribution in and around dielectric media of various shapes and optical properties. With the aid of the constitutive relations, we proceed to…

Optics · Physics 2014-01-29 Armis R. Zakharian , Masud Mansuripur , Jerome V. Moloney

We investigate the reflection coefficient of spin waves propagating in an ultra-thin ferromagnetic film with regions where saturation magnetization is modulated. We find analytically and using micromagnetic simulations that there are…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Pablo Borys , Naser Qureshi , Cesar Ordonez-Romero , Oleg Kolokoltsev

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,…

Optics · Physics 2015-07-08 Uday K. Khankhoje , Kushal Shah

This paper presents a modal analysis based on the reciprocity theorem to calculate the coupled/penetrated fields into an open-ended waveguide mounted on a finite flange. Although there is no limitation on the geometry and type of the…

Applied Physics · Physics 2024-08-08 Mohammad Eskandari , Mojtaba Joodaki

In this paper, using the approximate particular solutions of Helmholtz equations, we solve the boundary value problems of Helmholtz equations by combining the methods of fundamental solutions (MFS) with the methods of particular solutions…

Numerical Analysis · Mathematics 2024-11-27 Adam Johnson

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

We present a finite-difference micromagnetic approach for determining the normal modes of spin-waves propagating in extended magnetic films and strips, which is based on the linearized Landau-Lifshitz equation and uses the dynamic matrix…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Yves Henry , Olga Gladii , Matthieu Bailleul

Traditionally, the diffraction of a scalar wave satisfying Helmholtz equation through an aperture on an otherwise black screen can be solved approximately by Kirchhoff's integral over the aperture. Rubinowicz, on the other hand, was able to…

Classical Physics · Physics 2011-12-16 Yi-Chuan Lu

We study the coherence in time and space of electromagnetic fields propagated through complex media. Whether for localization, imaging or telecommunication, the development of dedicated numerical techniques is generally based on the…

Computational Physics · Physics 2022-04-21 Thomas Fromenteze , Matthieu Davy , Okan Yurduseven , Yann Marie-Joseph , Cyril Decroze

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

A method is proposed for the analysis of the propagation of electromagnetic waves through a homogeneous slab of a medium with Drude-Lorentz dispersion behavior, and excited by a causal sinusoidal source. An expression of the time dependent…

Optics · Physics 2016-10-13 Mohamed Ismail , Boris Gralak