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We calculate the permittivity, $\epsilon(\omega)$, for a medium with a quadratic electro-optic effect, modeling it as a Duffing oscillator. The nonlinear refractive index $n(\omega, E(\omega))$ and the nonlinear absorption coefficient…

Optics · Physics 2026-01-19 Igor Kuzmenko , Y. B. Band , Yshai Avishai , Marek Trippenbach

A general approach for the calculation of the incoherent intensity scattered by a random medium with rough boundaries has been developed using a Green function formalism. The random medium consists of spherical particles whose physical…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

We investigate the effective properties (conductivity, diffusivity and elastic moduli) of model random composite media derived from Gaussian random fields and overlapping hollow spheres. The morphologies generated in the models exhibit low…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts , Mark Knackstedt

We use a new approach to derive dielectric mixing rules for macroscopically homogeneous and isotropic multicomponent mixtures of anisotropic inhomogeneous dielectric particles. Two factors of anisotropy are taken into account, the shape of…

Materials Science · Physics 2015-05-13 M. Ya. Sushko

Frequency upconversion of an electromagnetic wave can occur in ionized plasma with decreasing electric permittivity and in split-ring resonator-structure metamaterials with decreasing magnetic permeability. We develop a general theory to…

Plasma Physics · Physics 2018-08-14 Kenan Qu , Qing Jia , Matthew R. Edwards , Nathaniel J. Fisch

A new type of metal-dielectric composites has been proposed that is characterised by a resonance-like behaviour of the effective permeability in the infrared and visible spectral ranges. This material can be referred to as optomagnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. V. Panina , A. N. Grigorenko , D. P. Makhnovskiy

We report numerical experiments of optical wave propagation in composites of high refractive index dielectric rods at frequencies where their first electric and magnetic Mie resonances are excited. The arrays of these particles have been…

Optics · Physics 2015-06-03 F. J. Valdivia-Valero , M. Nieto-Vesperinas

The Bergman-Milton bounds provide limits on the effective permittivity of a composite material comprising two isotropic dielectric materials. These provide tight bounds for composites arising from many conventional materials. We reconsider…

Optics · Physics 2015-06-26 Andrew J. Duncan , Tom G. Mackay , Akhlesh Lakhtakia

We show that technique of Dyson equation in wave multiple scattering by spatially disordered discrete medium statistical theory leads directly to a dielectric permittivity tensor, which is characterized by spatial dispersion and obeys the…

Disordered Systems and Neural Networks · Physics 2010-09-27 Yu. N. Barabanenkov , M. Yu. Barabanenkov , S. A. Nikitov

We describe an efficient rigorous model suitable for calculating the properties of finite metamaterial samples, which takes into account the discrete structure of metamaterials based on capacitively loaded ring resonators. We illustrate how…

Optics · Physics 2014-09-10 M. Lapine , L. Jelinek , R. Marques , M. J. Freire

It is well-known that electromagnetic dispersive structures such as metamaterials can be modelled by generalized Drude-Lorentz models. The present paper is the first of two articles dedicated to dissipative generalized Drude-Lorentz open…

Analysis of PDEs · Mathematics 2023-05-31 Maxence Cassier , Patrick Joly , Luis Alejandro Rosas Martínez

In this chapter, we demonstrate a general formulation of the Finite Element Method allowing to calculate the diffraction efficiencies from the electromagnetic field diffracted by arbitrarily shaped gratings embedded in a multilayered stack…

Optics · Physics 2013-02-06 Guillaume Demésy , Frédéric Zolla , André Nicolet , Benjamin Vial

We propose a type of elastic metamaterial comprising fluid-solid composite inclusions which can possess negative shear modulus and negative mass density over a large frequency region. Such a solid metamaterial has a unique elastic property…

Materials Science · Physics 2011-09-06 Ying Wu , Yun Lai , Zhao-Qing Zhang

We study the spontaneous emission of a dipole emitter imbedded into a layered metal-dielectric metamaterial. We demonstrate ultra-high values of the Purcell factor in such structures due to a high density of states with hyperbolic…

Optics · Physics 2015-05-30 Ivan Iorsh , Alexander Poddubny , Alexey Orlov , Pavel Belov , Yuri Kivshar

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

Analysis of PDEs · Mathematics 2016-04-29 Habib Ammari , Hai Zhang

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

We discuss electromagnetic modes in cavities formed by metamaterials with negative refraction and demonstrate that the straightforward approach to substitute negative values of the electric permittivity and the magnetic permeability leads…

Theoretical approach is proposed to description of dielectric properties of matrix disperse systems which consists of dielectric matrix with embedded in metallic inclusions. On the basis of effective differential medium approximation the…

Soft Condensed Matter · Physics 2008-02-24 Vitaliy N. Pustovit

We present a multiple-scattering model for the effective refractive index of an arbitrarily dense suspension of forward-scattering particles. The model provides a very simple formula for the effective refractive index of such a suspension…

Optics · Physics 2023-08-02 Alexander Nahmad-Rohen , Augusto García-Valenzuela

We show that a metamaterial slab with arbitrary values of epsilon and mu behaves as a cloak at a finite frequency for a small object located sufficiently close to it due to the suppression of the object's optical excitations by enhanced…

Optics · Physics 2015-05-20 Jian Wen Dong , Hui Huo Zheng , Yun Lai , He Zhou Wang , C. T. Chan