Rawlins' method and the diaphanous cone

被引：12

作者：

Jones, DS ^{[1
]}

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2000年 / 53卷

关键词：

D O I：

10.1093/qjmam/53.1.91

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximate expansions are obtained for the field when an electromagnetic wave is scattered by a dielectric circular cone with refractive index near unity. They indicate that the field near the tip of the cone contains not only powers of the distance but also its logarithm. The analysis entails the singular behaviour of an integral of a product of Hankel functions as a generalized function. Also a uniformly valid asymptotic formula for the hypergeometric function with parameters outside the usual range is derived.

引用

页码：91 / 109

页数：19