The effect of disorder on the wave propagation in one-dimensional periodic optical systems

被引：9

作者：

Godin, Yuri A. ^{[1
]}

Molchanov, Stanislav ^{[1
]}

Vainberg, Boris ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2011年 / 21卷 / 01期

基金：

美国国家科学基金会;

关键词：

SLOW LIGHT;

D O I：

10.1080/17455030.2010.528064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The influence of disorder on the transmission through periodic waveguides is studied. Using a canonical form of the transfer matrix, we investigate the dependence of the Lyapunov exponent on the frequency and magnitude of the disorder sigma. It is shown that in the bulk of the bands sigma 2, while near the band edges it has order sigma 2/3. This dependence is illustrated by numerical simulations.

引用

页码：135 / 150

页数：16

共 50 条

[31] GAPS OF ONE-DIMENSIONAL PERIODIC AKNS SYSTEMS
GREBERT, B
GUILLOT, JC
FORUM MATHEMATICUM, 1993, 5 (05) : 459 - 504
[32] One-Dimensional Systems Without Periodic Points
Naghmouchi, Issam
Rezgui, Houssem Eddine
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (13):
[33] NONADIABATIC TRANSITIONS IN ONE-DIMENSIONAL PERIODIC SYSTEMS
MEDVEDEV, ES
OSHEROV, VI
SOVIET PHYSICS SOLID STATE,USSR, 1969, 10 (08): : 1968 - &
[34] Linking in Systems with One-Dimensional Periodic Boundaries
Millett, Kenneth C.
Panagiotou, Eleni
ALGEBRAIC MODELING OF TOPOLOGICAL AND COMPUTATIONAL STRUCTURES AND APPLICATIONS, 2017, 219 : 237 - 257
[35] Propagation in one-dimensional crystals with positional and compositional disorder
Maurel, A.
Martin, P. A.
EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (11):
[36] Propagation in one-dimensional crystals with positional and compositional disorder
A. Maurel
P.A. Martin
The European Physical Journal B, 2013, 86
[37] A wavelet-based model of one-dimensional periodic structure for wave-propagation analysis
Sonekar, Parikshit
Mitra, Mira
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 466 (2113): : 263 - 281
[38] TO THE PROBLEM OF WAVE-PROPAGATION IN ONE-DIMENSIONAL MEDIUM WITH SPACE-TIME PERIODIC INHOMOGENEITIES
GULIN, OE
TEMCHENKO, VV
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOFIZIKA, 1989, 32 (01): : 72 - 72
[39] Terahertz wave propagation of one-dimensional antiferromagnetic/dielectric qusi-periodic photonic crystals
Zhao Yu-Tian
Zhang Qiang
Bai Jing
Fu Shu-Fang
Zhou Sheng
ACTA PHYSICA SINICA, 2011, 60 (07)
[40] Optimal control of the one-dimensional periodic wave equation
Barbu, V
APPLIED MATHEMATICS AND OPTIMIZATION, 1997, 35 (01): : 77 - 90

← 1 2 3 4 5 →