Plane waves in regular arrays of dipole scatterers and effective-medium modeling

被引:31
作者
Tretyakov, SA [1 ]
Viitanen, AJ [1 ]
机构
[1] Helsinki Univ Technol, Electromagnet Lab, FIN-02015 HUT, Finland
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2000年 / 17卷 / 10期
关键词
D O I
10.1364/JOSAA.17.001791
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A simple analytical theory for finding eigensolutions for plane electromagnetic waves propagating along an axis in infinite regular arrays of small dipole particles is presented. The spacing between dipoles in every plane is assumed to be smaller than the wavelength; separation between the planes is arbitrary. The influence of evanescent modes is taken into account. This theory gives a model for an effective propagation constant that can be applied in a wide frequency range from the quasi-static regime to the Bragg reflection (photonic bandgap) region. (C) 2000 Optical Society of America [S0740-3232(00)01609-43] OCIS codes: 260.2110, 160.4760, 260.2030, 050.2770.
引用
收藏
页码:1791 / 1797
页数:7
相关论文
共 18 条
[1]  
Collin R., 1991, FIELD THEORY GUIDED
[2]  
Collin R. E., 1966, Foundations for Microwave Engineering
[3]   Effective response functions for photonic bandgap materials [J].
Contopanagos, HF ;
Kyriazidou, CA ;
Merrill, WM ;
Alexópoulos, NG .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (07) :1682-1699
[4]  
Landau L. D., 1984, ELECTRODYNAMICS CONT
[5]  
Lindell I. V., 1994, ELECTROMAGNETIC WAVE
[6]  
MAHAN GD, 1961, PHYS REV, V183, P834
[7]  
Maslovski SI, 1999, AEU-INT J ELECTRON C, V53, P135
[8]   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
[9]   An idea for electromagnetic "feedforward-feedbackward" media [J].
Moses, CA ;
Engheta, N .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (05) :918-928
[10]   Variational volume integral equation method for electromagnetic scattering by irregular grains [J].
Peltoniemi, JI .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1996, 55 (05) :637-647