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The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices $\epsilon^{ij}$ and $\mu^{ij}$ of permittivity and permeability is studied. These matrices are not required to be symmetric, positive…

Classical Physics · Physics 2013-03-08 Yakov Itin

The near-field spectroscopic information is critically important to determine the Forster resonant energy transfer(FRET) rate and the distance dependence in the vicinity of metal surfaces. The high density of evanescent near-field modes in…

Chemical Physics · Physics 2023-02-14 Changhao Meng , Xin Chen , Zhenghua An

A theoretical framework for the quasi-monochromatic electromagnetic (EM) processes such as excitation and propagation of long wave packets in dispersive, dissipative, bianisotropic media with weak and slow nonlinearity is developed. The…

Optics · Physics 2018-04-06 Stanislav I. Maslovski

An analytical general analysis of the electromagnetic Dyadic Green's Function for two-dimensional sheet (or a very thin film) is presented, with an emphasis on on the case of graphene. A modified steepest descent treatment of the fields…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 A. Yu. Nikitin , F. J. Garcia-Vidal , L. Martin-Moreno

The surface plasmonic waves excited by a vertical or horizontal oriented Hertzian dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent embedded in planarly layered uniaxial media is investigated…

Computational Physics · Physics 2023-06-14 Minyu Gu , Krzysztof A. Michalski

Dyadic Green's function is an important tool of computational photonics, giving deeper insights into light-matter interaction. We present an operator approach to the derivation of the dyadic Green's function of a generic anisotropic…

Optics · Physics 2026-05-13 Aliaksandr Arlouski , Lei Gao , Dongliang Gao , Andrey Novitsky

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

The energy propagation of electromagnetic fields in the effective medium of a one-dimensional photonic crystal consisting of dielectric and metallic layers is investigated. We show that the medium behaves like Drude and Lorentz medium,…

Optics · Physics 2018-01-16 Pi-Gang Luan , Jie-Luen Wu

An exact solution is obtained for the electromagnetic field due to an electric current in the presence of a surface conductivity model of graphene. The graphene is represented by an infinitesimally-thin, local and isotropic two-sided…

Materials Science · Physics 2009-11-13 George W. Hanson

The standard solution to time-harmonic electromagnetic scattering problems in homogeneous layered media relies on the use of the electric field dyadic Green's function. However, for small values of the governing angular frequency $\omega$,…

Classical Physics · Physics 2015-06-17 Michael O'Neil

Concise and explicit formulas for dyadic Green's functions, representing the electric and magnetic fields due to a dipole source placed in layered media, are derived in this paper. First, the electric and magnetic fields in the spectral…

Computational Physics · Physics 2017-01-17 Min Hyung Cho , Wei Cai

The influence of Gilbert damping on the propagation of electromagnetic waves (EMWs) in an anisotropic ferromagnetic medium is investigated theoretically. The interaction of the magnetic field component of the electromagnetic wave with the…

Pattern Formation and Solitons · Physics 2024-06-21 Sathishkumar Perumal , J. Sivapragasam , M. Lakshmanan

We extend the conventional transfer matrix method to include anisotropic features for electron transmission in two-dimensional materials, such as breaking reflection law in pseudo-spin phases and wave vectors. This method allows to study…

Materials Science · Physics 2022-12-15 Erik Díaz-Bautista , Yonatan Betancur-Ocampo , Alfredo Raya

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

Mathematical Physics · Physics 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

Dyadic Green functions for time-harmonic fields in a homogeneous, isotropic, dielectric-magnetic medium, moving with constant velocity, are derived by first implementing a simple transformation and then using the dyadic Green functions…

Optics · Physics 2007-05-23 Akhlesh Lakhtakia , Tom G. Mackay

This paper investigates the dispersion characteristics of a highly anisotropic metamaterial comprised of metal square patches arranged in a glide symmetry pattern and submerged in vacuum. Theoretical formulas are proposed to describe the…

Classical Physics · Physics 2025-08-11 Jim A. Enriquez , Eugene Koreshin , Juan P. Del Risco , Pavel A. Belov , Juan D. Baena

We present a fast multipole method (FMM) for solving Maxwell's equations in three-dimensional (3-D) layered media, based on the magnetic vector potential $\boldsymbol A$ under the Lorenz gauge, to derive the layered dyadic Green's function.…

Numerical Analysis · Mathematics 2025-07-25 Heng Yuan , Bo Wang , Wenzhong Zhang , Wei Cai

SRR metamaterial is used as a substrate material in a microstrip guided wave structure to determine what the effect is of a material with potentially excessive dispersion or loss or both. A Green's function method readily incorporates the…

Materials Science · Physics 2007-05-23 C. M. Krowne

In this paper, we have derived planar multilayer dyadic Greens functions by Fourier expansion method and have checked its correctness by comparing results for reflected electric fields from dipole emissions near such structures available in…

Classical Physics · Physics 2017-12-07 Huai-Yi Xie

We investigated a multilayer graphene-dielectric composite material, comprising graphene sheets separated by subwavelength-thick dielectric spacer, and found it to exhibit hyperbolic isofrequency wavevector dispersion at far- and…

Mesoscale and Nanoscale Physics · Physics 2014-05-26 Mohamed A. K. Othman , Caner Guclu , Filippo Capolino
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