The electromagnetic modes and homogenization for a cubic lattice of spheres

被引：6

作者：

Bao, KD ^{[1
]}

McPhedran, RC

Nicorovici, NA

Poulton, CG

Botten, LC

机构：

[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China

[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

[3] Univ Technol Sydney, Sch Math Sci, Sydney, NSW 2007, Australia

来源：

PHYSICA B | 2000年 / 279卷 / 1-3期

基金：

澳大利亚研究理事会;

关键词：

homogenization; 3D lattice; photonic crystals;

D O I：

10.1016/S0921-4526(99)00714-0

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We discuss the propagation of electromagnetic waves in a triply periodic lattice of dielectric spheres. We represent the electric and magnetic fields in terms of Debye potentials, and derive the generalized Rayleigh identity. In the long wavelength limit we evaluate the effective dielectric constant of the homogenized crystal. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：162 / 163

页数：2

共 8 条

[1]

[Anonymous], 1892, PHILOS MAG, DOI DOI 10.1080/14786449208620364

[2] LONG-WAVELENGTH ELECTROMAGNETIC PROPAGATION IN HETEROGENEOUS MEDIA [J].

LAMB, W ;

WOOD, DM ;

ASHCROFT, NW .

PHYSICAL REVIEW B, 1980, 21 (06) :2248-2266

[3] CONDUCTIVITY OF LATTICES OF SPHERES .2. BODY-CENTERED AND FACE-CENTERED CUBIC LATTICES [J].

MCKENZIE, DR ;

MCPHEDRAN, RC ;

DERRICK, GH .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 362 (1709) :211-232

[4] CONDUCTIVITY OF LATTICES OF SPHERES .1. SIMPLE CUBIC LATTICE [J].

MCPHEDRAN, RC ;

MCKENZIE, DR .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 359 (1696) :45-63

[5] PROPAGATION OF ELECTROMAGNETIC-WAVES IN PERIODIC LATTICES OF SPHERES - GREENS-FUNCTION AND LATTICE SUMS [J].

NICOROVICI, NA ;

MCPHEDRAN, RC ;

KEDA, B .

PHYSICAL REVIEW E, 1995, 51 (01) :690-702

[6] THEORY FOR THE DIELECTRIC FUNCTION OF GRANULAR COMPOSITE MEDIA [J].

SHENG, P .

PHYSICAL REVIEW LETTERS, 1980, 45 (01) :60-63

[7] LATTICE MODEL OF HEAT-CONDUCTION IN A COMPOSITE-MATERIAL [J].

SUEN, WM ;

WONG, SP ;

YOUNG, K .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1979, 12 (08) :1325-1338

[8]

VANBLADEL, 1985, ELECTROMAGNETIC FIEL

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