THEORY OF SCALAR WAVE-PROPAGATION IN PERIODIC COMPOSITES - A K-CENTER-DOT-P APPROACH

被引:9
作者
HUI, PM [1 ]
LEE, WM [1 ]
JOHNSON, NF [1 ]
机构
[1] UNIV OXFORD,CLARENDON LAB,DEPT PHYS,OXFORD OX1 3PU,ENGLAND
关键词
D O I
10.1016/0038-1098(94)90844-3
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A simple, yet accurate, band structure formalism is presented to describe dispersion relations of scalar waves in periodic composite structures. We develop a scalar wave version of k.p theory, a technique which has been successfully used for calculating electronic band structures in semiconductors. The formalism permits easy description of the band structure around some interesting points in k-space without intensive computation. The accuracy of the method is demonstrated by considering numerical examples for the case of a square array of dielectric cylinders embedded in a host medium.
引用
收藏
页码:65 / 69
页数:5
相关论文
共 21 条
[1]  
[Anonymous], 1965, PRINCIPLES OPTICS
[2]  
Callaway J., 1991, QUANTUM THEORY SOLID
[3]   CLASSICAL WAVE-PROPAGATION IN PERIODIC STRUCTURES [J].
ECONOMOU, EN ;
ZDETSIS, A .
PHYSICAL REVIEW B, 1989, 40 (02) :1334-1337
[4]   EXISTENCE OF A PHOTONIC GAP IN PERIODIC DIELECTRIC STRUCTURES [J].
HO, KM ;
CHAN, CT ;
SOUKOULIS, CM .
PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3152-3155
[5]   ELECTRONIC AND OPTICAL-PROPERTIES OF III-V-SEMICONDUCTOR AND II-VI-SEMICONDUCTOR SUPERLATTICES [J].
JOHNSON, NF ;
EHRENREICH, H ;
HUI, PM ;
YOUNG, PM .
PHYSICAL REVIEW B, 1990, 41 (06) :3655-3669
[6]   THEORY OF PROPAGATION OF SCALAR WAVES IN PERIODIC AND DISORDERED COMPOSITE STRUCTURES [J].
JOHNSON, NF ;
HUI, PM .
PHYSICAL REVIEW B, 1993, 48 (14) :10118-10123
[7]  
JOHNSON NF, 1991, J PHYS CONDENS MATT, V5, pL355
[8]  
KANE EO, 1981, NARROW GAP SEMICONDU, V33, P19
[9]  
Lee W., UNPUB
[10]   PHOTON BAND STRUCTURES - THE PLANE-WAVE METHOD [J].
LEUNG, KM ;
LIU, YF .
PHYSICAL REVIEW B, 1990, 41 (14) :10188-10190