Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 2000 53(1):91-109; doi:10.1093/qjmam/53.1.91
© 2000 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (4)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Jones, D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Rawlin's method and the diaphonous cone

DS Jones

( Department of Mathematics, The University, Dundee DD1 4HN, UK )

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.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.