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
收藏
页码：5543 / 5548
页数：5
相关论文
共 50 条
  • [1] A combined method in calculating the field in a waveguide, initiated by a point source
    Kirpichnikova, NY
    Philippov, VB
    Vlasyuk, NG
    INTERNATIONAL SEMINAR DAY ON DIFFRACTION' 2002, PROCEEDINGS, 2002, : 64 - 79
  • [2] A combined method for calculating the field of a point source in a waveguide (slightly curved media)
    Philippov V.B.
    Kirpichnikova N.Ya.
    Vlasyuk N.G.
    Journal of Mathematical Sciences, 2006, 132 (1) : 130 - 135
  • [3] Combined method for calculating the field ggenerated by a point source in a waveguide. II
    Kirpichnikova N.Y.
    Philippov V.B.
    Vlasyuk N.G.
    Journal of Mathematical Sciences, 2005, 127 (6) : 2402 - 2412
  • [4] A combined method for calculating the field of a point source in a waveguide (plane-layered media)
    Philippov V.B.
    Kirpichnikova N.Ya.
    Vlasyuk N.G.
    Journal of Mathematical Sciences, 2006, 132 (1) : 113 - 129
  • [5] A combined method of calculating the field in a waveguide, initiated by a point source (a two-dimensional acoustic medium)
    Kirpichnikova N.Y.
    Philippov V.B.
    Vlasyuk N.G.
    Journal of Mathematical Sciences, 2002, 108 (5) : 674 - 688
  • [6] Method of calculating surface disturbances over a point source and a dipole
    Gorelov, A. M.
    Nosov, V. N.
    Savin, A. S.
    Savina, E. O.
    FLUID DYNAMICS, 2009, 44 (01) : 170 - 174
  • [7] Method of calculating surface disturbances over a point source and a dipole
    A. M. Gorelov
    V. N. Nosov
    A. S. Savin
    E. O. Savina
    Fluid Dynamics, 2009, 44 : 170 - 174
  • [8] Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide
    V. Barrera-Figueroa
    V. S. Rabinovich
    Russian Journal of Mathematical Physics, 2016, 23 : 139 - 163
  • [9] Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide
    Barrera-Figueroa, V.
    Rabinovich, V. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2016, 23 (02) : 139 - 163
  • [10] METHOD OF DETERMINING THE FIELD OF A POINT-SOURCE IN A RECTANGULAR WAVEGUIDE
    BOLTOV, YF
    SOVIET PHYSICS ACOUSTICS-USSR, 1983, 29 (04): : 260 - 262
12345