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Related papers: Effective dielectric constant for a random medium

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For the scattering of plane electromagnetic waves by a general possibly anisotropic stationary linear medium in three dimensions, we give a condition on the permittivity and permeability tensors of the medium under which the first Born…

Mathematical Physics · Physics 2024-09-24 Farhang Loran , Ali Mostafazadeh

We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. We perform this analysis on…

Classical Physics · Physics 2009-11-07 D. R. Smith , S. Schultz , P. Markos , C. M. Soukoulis

The Maxwell equations for an homogeneous medium in which electric currents are composed of Ohmic, diffusive and impressed currents are written in the static approximation in which displacements currents are neglected. Closed exact…

Biological Physics · Physics 2016-10-26 Alejandro Cabo , Jorge J. Riera , Pedro A. Valdes Hernandez

Scattering of electromagnetic (EM) waves by many small particles, embedded in a given medium, is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective…

Optics · Physics 2011-01-25 A. G. Ramm

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

Mathematical Physics · Physics 2015-06-18 Alexander G. Ramm

The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As…

High Energy Physics - Lattice · Physics 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

The phenomenological Maxwell field is quantized for arbitrarily space- and frequency-dependent complex permittivity. The formalism takes account of the Kramers--Kronig relation and the dissipation-fluctuation theorem and yields the…

Quantum Physics · Physics 2007-05-23 S. Scheel , D. -G. Welsch

We study the diffusion properties of the strongly interacting quark-gluon plasma (sQGP) and evaluate the diffusion coefficient matrix for the baryon ($B$), strange ($S$) and electric ($Q$) charges - $\kappa_{qq'}$ ($q,q' = B, S, Q$) and…

High Energy Physics - Phenomenology · Physics 2021-08-25 Jan A. Fotakis , Olga Soloveva , Carsten Greiner , Olaf Kaczmarek , Elena Bratkovskaya

We derive an effective equation and action for the propagation of gravitational waves (GW), encoding the effects of interaction and self-interaction in a time, frequency and polarization dependent effective speed. In terms of an…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Antonio Enea Romano

The validity range of the widely used traditional effective range expansion can be severely limited by the presence of a left-hand cut near the two-particle threshold. Such a left-hand cut emerges in two-particle scattering processes…

High Energy Physics - Phenomenology · Physics 2025-02-28 Meng-Lin Du , Feng-Kun Guo , Bing Wu

In this paper we derive an expression for the dynamic electric polarizability of a particle bound by a double delta potential for frequencies below and above the absolute value of the particle's ground state energy. The derived expression…

Mathematical Physics · Physics 2009-11-13 M. A. Maize , J. J. Smetanka

The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials…

Optics · Physics 2016-06-29 Tom G. Mackay , Akhlesh Lakhtakia

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are present. These corrections are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. C. W. van Rossum , Th. M. Nieuwenhuizen

We develop a novel and powerful method of exactly calculating various transport characteristics of waves in one-dimensional random media with (or without) coherent absorption or amplification. Using the method, we compute the probability…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kihong Kim

The goal of this paper is to obtain a better knowledge of the achievable data rate over noncoherent Rician fading channel with time and frequency memory. We assume that the average-power as well as the peak-power of the input signal are…

Information Theory · Computer Science 2012-07-13 Jean-Michel Passerieux , Francois-Xavier Socheleau , Christophe Laot

Oblique propagation of the spin-electron acoustic waves in degenerate magnetized plasmas is considered in terms of quantum kinetics with the separate spin evolution, where the spin-up electrons and the spin-down electrons are considered as…

Plasma Physics · Physics 2018-04-18 Pavel A. Andreev

We propose a new method for calculating reflection and transmission coefficients for an arbitrarily polarized electromagnetic plane wave incident on a one-dimensional dielectric medium of finite thickness and with dielectric permittivity…

Optics · Physics 2022-04-27 N. A. Vanyushkin , A. H. Gevorgyan , S. S. Golik

We propose that a quantum particle in a potential in one space dimension can be described by a probabilistic cellular automaton. While the simple updating rule of the automaton is deterministic, the probabilistic description is introduced…

Quantum Physics · Physics 2022-12-01 C. Wetterich

The electromagnetic scattering resonances of a non-magnetic object much smaller than the incident wavelength in vacuum can be either described by the electroquasistatic approximation of the Maxwell's equations if its permittivity is…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Carlo Forestiere , Giovanni Miano , Guglielmo Rubinacci

We present effective optical constants of stratified metal-dielectric metameterial. The effective constants are determined by two complex reflectivity method (TCRM). TCRM reveals full components of effective permittivity and permeability…

Optics · Physics 2009-11-13 Masanobu Iwanaga