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Effective medium theory is used to model a one dimensional lossy dielectric quaternary photonic crystal as a homogeneous slab. The unit cell of the original crystal is inversion symmetric with layer sequence ACBCA. The behavior of the…

光学 · 物理学 2020-03-25 Nicholas J. Bianchi , Leonard M. Kahn

Photonic pseudospin-1/2 systems, which exhibit Dirac cone dispersion at Brillouin zone corners in analogy to graphene, have been extensively studied in recent years. However, it is known that a linear band crossing of two bands cannot…

光学 · 物理学 2020-10-07 Neng Wang , Ruo-Yang Zhang , C. T. Chan , Guo Ping Wang

In this paper, we establish the full-wave electromagnetic scattering theory to study the electromagnetic scattering from infinitely long cylinders with radially anisotropic coatings. We show that the total effective scattering width can be…

光学 · 物理学 2011-02-22 Yaxian Ni , Lei Gao , Cheng-Wei Qiu

Effective-medium theory pertains to the theoretical modelling of homogenization, which aims to replace an inhomogeneous structure of subwavelength-scale constituents with a homogeneous effective medium. The effective-medium theory is…

We study the extinction efficiencies as well as scattering properties of particles of different porosity. Calculations are performed for porous pseudospheres with small size (Rayleigh) inclusions using the discrete dipole approximation.…

天体物理学 · 物理学 2009-11-13 N. V. Voshchinnikov , G. Videen , Th. Henning

We present an effective medium theory that can predict the effective permittivity and permeability of a geometrically anisotropic two-dimensional metamaterial composed with a rectangular array of elliptical cylinders. It is possible to…

光学 · 物理学 2016-11-10 Xiujuan Zhang , Ying Wu

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

材料科学 · 物理学 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

We investigate the propagation of electromagnetic waves in finite photonic band gap structures. We analyze the phenomenon of conduction and forbidden bands and we show that two regimes are to be distinguished with respect to the existence…

光学 · 物理学 2007-05-23 D. Felbacq , R. Smaali

The theory of nonlinear diffraction of intensive light beams propagating through photorefractive media is developed. Diffraction occurs on a reflecting wire embedded in the nonlinear medium at relatively small angle with respect to the…

斑图形成与孤子 · 物理学 2009-11-13 E. G. Khamis , A. Gammal , G. A. El , Yu. G. Gladush , A. M. Kamchatnov

The band gap, a key concept in solid-state physics, is traditionally explained by the Bragg diffraction of electron waves in the periodic potential of a crystal. Although widely accepted, this framework raises fundamental issues in…

材料科学 · 物理学 2025-08-28 Koichi Kajiyama

Elastic quantum bound-state reflection from a hard-wall boundary provides direct information regarding the structure and compressibility of quantum bound states. We discuss elastic quantum bound-state reflection and derive a general theory…

核理论 · 物理学 2013-01-18 Michelle Pine , Dean Lee

We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrable obstacle can be effectively approximated by an isotropic…

偏微分方程分析 · 数学 2021-02-19 Zhengjian Bai , Huaian Diao , Hongyu Liu , Qingle Meng

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

数学物理 · 物理学 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

We formulate an effective medium (mean field) theory of a material consisting of randomly distributed nodes connected by straight slender rods, hinged at the nodes. Defining novel wavelength-dependent effective elastic moduli, we calculate…

软凝聚态物质 · 物理学 2015-06-05 J. I. Katz , J. J. Hoffman , M. S. Conradi , J. G. Miller

This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded…

偏微分方程分析 · 数学 2024-08-14 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

We present an optical picture of linear-optics superradiance, based on a single scattering event embedded in a dispersive effective medium composed by the other atoms. This linear-dispersion theory is valid at low density and in the…

原子物理 · 物理学 2021-02-05 P. Weiss , A. Cipris , R. Kaiser , I. M. Sokolov , W. Guerin

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…

偏微分方程分析 · 数学 2016-04-29 Habib Ammari , Hai Zhang

We derive the electromagnetic medium equivalent to a collection of all-dielectric nano-particles (enjoying high refractive indices) distributed locally non-periodically in a smooth domain $\Omega$. Such distributions are used to model well…

偏微分方程分析 · 数学 2024-04-19 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

We develop a dynamical effective medium theory to accurately predict the unusual properties of elastic metamaterials in two dimensions near the resonant frequencies. The theory shows that the effective bulk modulus, shear modulus, and mass…

材料科学 · 物理学 2007-07-10 Ying Wu , Yun Lai , Zhao-Qing Zhang

Coated and multicoated cylinder systems constitute an appealing metamaterial category, as they allow a very rich and highly tunable response, resulting from the interplay of the many different geometrical and material parameters involved.…

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