The well-posedness of the integral equations for thin wire antennas with distributional incident fields

Authors
Citation
Bp. Rynne, The well-posedness of the integral equations for thin wire antennas with distributional incident fields, Q J MECH AP, 52, 1999, pp. 489-497
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
ISSN journal
00335614 → ACNP
Volume
52
Year of publication
1999
Part
4
Pages
489 - 497
Database
ISI
SICI code
0033-5614(199911)52:<489:TWOTIE>2.0.ZU;2-S
Abstract
In this paper we extend previous results on the well-posedness of the Pockl ington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field to the case where the incide nt field may lie in a certain function space of distributions. This functio n space includes the special case of a Dirac S-function incident field whic h is widely used to model dipole antennas.