On an integral equation in the problem of diffraction of a plane wave on a transparent circular cone

被引：0
|
作者：
Lyalinov M.A. [1 ]
机构：
[1] St. Petersburg State University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2006年 / 132卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Fourier; Integral Equation; Fourier Series; Series Expansion; Fourier Coefficient;
D O I：
10.1007/s10958-005-0475-6
中图分类号：
学科分类号：
摘要：
The problem of diffraction on a transparent convex cone is studied. A uniqueness theorem is proved for the case where the cone is illuminated by a compact source. For a circular cone, the solution is obtained in the form of Kontorovich-Lebedev integrals and Fourier series expansions. A singular integral equation is deduced for the Fourier coefficients, and its regularization is carried out. Bibliography: 13 titles. ©2006 Springer Science+Business Media, Inc.
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页码：56 / 68
页数：12
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