Asymptotics of bound states and bands for waveguides coupled through small windows

被引：6

作者：

Popov, IY ^{[1
]}

机构：

[1] Leningrad Inst Fine Mech & Opt, Dept Higher Math, St Petersburg 197101, Russia

来源：

APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 01期

基金：

俄罗斯基础研究基金会; 以色列科学基金会;

关键词：

asymptotics; coupled waveguides; matching of asymptotic expansions;

D O I：

10.1016/S0893-9659(00)00121-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of two waveguides coupled laterally through small windows is considered. The asymptotics (in the width of windows) of ground state close to the threshold is obtained for the case of finite number of apertures. The cases of periodic system of coupling windows is studied. The asymptotics of the band edges is obtained. The technique is matching of asymptotic expansions of the solutions. (C) 2000 Elsevier Science Ltd. Ail rights reserved.

引用

页码：109 / 113

页数：5

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