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.

引用

页码：56 / 68

页数：12

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