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The current distribution on a circular disc

Kristensson, Gerhard LU (1985) In Canadian Journal of Physics 63(4). p.507-516
Abstract
In this paper we derive the surface-current distribution on a perfectly conducting circular disc. The current is obtained by calculating the limit of the surface currents on an oblate spheroid as the thickness goes to zero. The null-field approach is used. We show that it is possible to calculate all quantities in terms of the spherical basis functions, thus avoiding the cumbersome spheroidal basis functions. Furthermore, it is shown that the correct edge behaviour appears very naturally within the formulation. We compute the surface field on the disc for a plane incident wave, the surface current (eigencurrents) at the complex resonances of the disc, and the induced current on a subterranean disc excited by a circular antenna loop on the... (More)
In this paper we derive the surface-current distribution on a perfectly conducting circular disc. The current is obtained by calculating the limit of the surface currents on an oblate spheroid as the thickness goes to zero. The null-field approach is used. We show that it is possible to calculate all quantities in terms of the spherical basis functions, thus avoiding the cumbersome spheroidal basis functions. Furthermore, it is shown that the correct edge behaviour appears very naturally within the formulation. We compute the surface field on the disc for a plane incident wave, the surface current (eigencurrents) at the complex resonances of the disc, and the induced current on a subterranean disc excited by a circular antenna loop on the ground. (Less)
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
Canadian Journal of Physics
volume
63
issue
4
pages
507 - 516
publisher
NRC Research Press
external identifiers
  • scopus:0022042096
ISSN
0008-4204
DOI
10.1139/p85-080
language
English
LU publication?
no
id
bb31792c-0152-42ff-9818-8cb7cb2c3b89 (old id 1040603)
date added to LUP
2008-02-29 11:04:31
date last changed
2017-01-01 07:37:44
@article{bb31792c-0152-42ff-9818-8cb7cb2c3b89,
  abstract     = {In this paper we derive the surface-current distribution on a perfectly conducting circular disc. The current is obtained by calculating the limit of the surface currents on an oblate spheroid as the thickness goes to zero. The null-field approach is used. We show that it is possible to calculate all quantities in terms of the spherical basis functions, thus avoiding the cumbersome spheroidal basis functions. Furthermore, it is shown that the correct edge behaviour appears very naturally within the formulation. We compute the surface field on the disc for a plane incident wave, the surface current (eigencurrents) at the complex resonances of the disc, and the induced current on a subterranean disc excited by a circular antenna loop on the ground.},
  author       = {Kristensson, Gerhard},
  issn         = {0008-4204},
  language     = {eng},
  number       = {4},
  pages        = {507--516},
  publisher    = {NRC Research Press},
  series       = {Canadian Journal of Physics},
  title        = {The current distribution on a circular disc},
  url          = {http://dx.doi.org/10.1139/p85-080},
  volume       = {63},
  year         = {1985},
}