LOCALIZATION OF ELECTROMAGNETIC AND ACOUSTIC-WAVES IN RANDOM-MEDIA - LATTICE MODELS

被引：30

作者：

FIGOTIN, A ^{[1
]}

KLEIN, A ^{[1
]}

机构：

[1] UNIV CALIF IRVINE,DEPT MATH,IRVINE,CA 92717

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 76卷 / 3-4期

关键词：

LOCALIZATION; RANDOM MEDIA; ELECTROMAGNETIC WAVES; ACOUSTIC WAVES; LATTICE MODEL;

D O I：

10.1007/BF02188695

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider lattice versions of Maxwell's equations and of the equation that governs the propagation of acoustic waves in a random medium. The vector nature of electromagnetic waves is fully taken into account. The medium is assumed to be a small perturbation of a periodic one. We prove rigorously that localized eigenstates arise in a vicinity of the edges of the gaps in the spectrum. A key ingredient is a new Wegner-type estimate for a class of lattice operators with off-diagonal disorder.

引用

页码：985 / 1003

页数：19

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