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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…

计算物理 · 物理学 2017-01-17 Min Hyung Cho , Wei Cai

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…

光学 · 物理学 2007-05-23 Akhlesh Lakhtakia , Tom G. Mackay

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…

经典物理 · 物理学 2017-12-07 Huai-Yi Xie

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…

介观与纳米尺度物理 · 物理学 2012-08-08 A. Yu. Nikitin , F. J. Garcia-Vidal , L. Martin-Moreno

In this paper, dyadic Green's function for a graphene-dielectric stack is formulated based on the scattering superposition method. To this end, scattering Green's function in each layer is expanded in terms of cylindrical vector wave…

计算物理 · 物理学 2021-08-04 Shiva Hayati Raad , Zahra Atlasbaf , Mauro Cuevas

In this paper, two formulations for the computation of the dyadic Green's functions of Maxwell's equations in layered media are presented in details. The first formulation derived using TE/TM decomposition is well-known and intensively used…

数学物理 · 物理学 2026-04-07 Heng Yuan , Wenzhong Zhang , Bo Wang

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

介观与纳米尺度物理 · 物理学 2008-02-22 Ursula Schröter

The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including…

光学 · 物理学 2015-12-23 J. A. Crosse , Sebastian Fuchs , Stefan Yoshi Buhmann

A comprehensive theoretical analysis of photo-induced forces in an illuminated nanojunction, formed between an atomic force microscopy tip and a sample, is presented. The formalism is valid within the dipolar approximation and includes…

光学 · 物理学 2017-06-07 Faezeh Tork Ladani , Eric O. Potma

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…

计算物理 · 物理学 2023-06-14 Minyu Gu , Krzysztof A. Michalski

The dyadic Green function for a homogeneous electromagnetic medium inspired by the spatiotemporally nonhomogeneous constitutive equations of gravitationally affected vacuum is derived.

光学 · 物理学 2011-12-14 Akhlesh Lakhtakia , Tom G. Mackay

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

量子气体 · 物理学 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

The present work develops a rigorous framework for collective dipole oscillations in dense dielectric media by extending the Lorentz oscillator model to include both quadratic (second order) and cubic (third order) nonlinear restoring…

光学 · 物理学 2025-09-29 Shouvik Sadhukhan , C. S. Narayanamurthy

We derive expressions for the electromagnetic Green's function for a layered system using a transfer matrix technique. The expressions we arrive at makes it possible to study symmetry properties of the Green's function, such as reciprocity…

介观与纳米尺度物理 · 物理学 2011-05-09 Peter Johansson

Based on the dyadic Green's function (DGF) method, we present a formalism to study the propagation of electromagnetic fields with slowly varying amplitude (EMFSVA) in dispersive anisotropic media with two dyadic constitutive parameters, the…

应用物理 · 物理学 2018-05-30 Stanislav I. Maslovski , Hodjat Mariji

We present all the periodic Green function dyadics that enter a description of a 2d array of emitters at the level that includes the electric dipole, magnetic dipole and electric quadrupole moment of each emitter. We find a concise analytic…

光学 · 物理学 2017-03-02 Sylvia D. Swiecicki , J. E. Sipe

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 $\omega$,…

经典物理 · 物理学 2015-06-17 Michael O'Neil

An efficient surface integral equation-based method is proposed for the analysis of electromagnetic scattering from multilayered media containing complex periodic inclusions. The proposed method defines equivalent currents at the interfaces…

光学 · 物理学 2014-08-19 Nilufer A. Ozdemir , Christophe Craeye

The rising interest in Dirac materials, condensed matter systems where low-energy electronic excitations are described by the relativistic Dirac Hamiltonian, entails a need for microscopic effective models to analytically describe their…

介观与纳米尺度物理 · 物理学 2025-08-06 Jeyson Támara-Isaza , Pablo Burset , William J. Herrera

We consider a two-dimensional diffusion process in a two-layered plane, governed by distinct covariance matrices in the upper and lower half-planes and by two drift vectors pointed away from the $x$-axis. We first analyze the case where the…

概率论 · 数学 2025-12-11 Sandro Franceschi , Irina Kourkova , Maxence Petit
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