The combined method for calculating the field generated by a point source in a surface waveguide

被引：0

作者：

Kirpichnikova N.Ya. ^{[1
]}

Philippov V.B. ^{[1
]}

Fadeeva S.Yu. ^{[2
]}

机构：

[1] St.Petersburg Department, Steklov Mathematical Institute, St.Petersburg

[2] St.Petersburg State University, St.Petersburg

来源：

Journal of Mathematical Sciences | 2006年 / 138卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Integration Contour; Normal Wave; Dirichlet Condition; Airy Function; Surface Waveguide;

D O I：

10.1007/s10958-006-0321-5

中图分类号：

学科分类号：

摘要：

The two-dimensional problem of propagation of waves generated by a point source in a plane boundary-layer waveguide is investigated. The Dirichlet condition is given on the surface of the waveguide. With the help of cumbersome transformations, the solution is represented as a sum of geometric-optical waves, normal waves, and a remainder. Sufficient conditions on the general amount of detached normal and geometric-optical waves are obtained. The remainder is expressed by a simple formula. Bibliography: 10 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：5543 / 5548

页数：5

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