Density of states of a one-dimensional disordered photonic crystal

被引：2
|
作者：
Greshnov, A. A.
Kaliteevskii, M. A.
Abram, R. A.
Brand, S.
Zegrya, G. G.
机构：
[1] Russian Acad Sci, AF Ioffe Physicotech Inst, St Petersburg 194021, Russia
[2] Univ Durham, Dept Phys, Durham DH1 3LE, England
来源：
PHYSICS OF THE SOLID STATE | 2007年 / 49卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
42.70.Qs; 78.67.-n;
D O I：
10.1134/S1063783407100319
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
An analytic theory of the density of states in one-dimensional disordered photonic crystals is proposed. It is shown that the problem of the density of optical modes can be reduced in the small dielectric contrast approximation to solving a generalized Fokker-Planck equation for the distribution function of the logarithmic derivative of the electric field (the wave phase). The exact analytic solution and density-of-states asymptotics deep in the band gap of the photonic crystal and close to the band gap edge are derived. The results obtained agree well with the empirical relations derived earlier from numerical experiments.
引用
收藏
页码：1999 / 2003
页数：5
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