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A priori estimates on the partial realized gain of ultra-wideband (UWB) antennas

Sohl, Christian LU and Gustafsson, Mats LU (2008) In Quarterly Journal of Mechanics and Applied Mathematics 61(3). p.415-430
Abstract
A sum rule valid for a large class of linear and reciprocal antennas is presented in terms of the electric and magnetic polarizability dyadics. The identity is based on the holomorphic properties of the forward scattering dyadic and includes arbitrarily shaped antennas modelled by linear and time-translational invariant constitutive relations. In particular, a priori estimates on the partial realized gain are introduced, and lower bounds on the onset frequency are derived for two important archetypes of ultra-wideband antennas: those with a constant partial realized gain and those with a constant effective antenna aperture. The theoretical findings are illustrated by an equiangular spiral antenna, and comparison with numerical simulations... (More)
A sum rule valid for a large class of linear and reciprocal antennas is presented in terms of the electric and magnetic polarizability dyadics. The identity is based on the holomorphic properties of the forward scattering dyadic and includes arbitrarily shaped antennas modelled by linear and time-translational invariant constitutive relations. In particular, a priori estimates on the partial realized gain are introduced, and lower bounds on the onset frequency are derived for two important archetypes of ultra-wideband antennas: those with a constant partial realized gain and those with a constant effective antenna aperture. The theoretical findings are illustrated by an equiangular spiral antenna, and comparison with numerical simulations show great potential for future applications in antenna design. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Quarterly Journal of Mechanics and Applied Mathematics
volume
61
issue
3
pages
415 - 430
publisher
Oxford University Press
external identifiers
  • wos:000257964800007
  • scopus:49149103230
ISSN
0033-5614
DOI
10.1093/qjmam/hbn008
language
English
LU publication?
yes
id
33d1529b-78c3-4260-8d41-18adbbd6f2e5 (old id 1054356)
date added to LUP
2008-04-03 13:56:31
date last changed
2017-03-26 04:31:44
@article{33d1529b-78c3-4260-8d41-18adbbd6f2e5,
  abstract     = {A sum rule valid for a large class of linear and reciprocal antennas is presented in terms of the electric and magnetic polarizability dyadics. The identity is based on the holomorphic properties of the forward scattering dyadic and includes arbitrarily shaped antennas modelled by linear and time-translational invariant constitutive relations. In particular, a priori estimates on the partial realized gain are introduced, and lower bounds on the onset frequency are derived for two important archetypes of ultra-wideband antennas: those with a constant partial realized gain and those with a constant effective antenna aperture. The theoretical findings are illustrated by an equiangular spiral antenna, and comparison with numerical simulations show great potential for future applications in antenna design.},
  author       = {Sohl, Christian and Gustafsson, Mats},
  issn         = {0033-5614},
  language     = {eng},
  number       = {3},
  pages        = {415--430},
  publisher    = {Oxford University Press},
  series       = {Quarterly Journal of Mechanics and Applied Mathematics},
  title        = {A priori estimates on the partial realized gain of ultra-wideband (UWB) antennas},
  url          = {http://dx.doi.org/10.1093/qjmam/hbn008},
  volume       = {61},
  year         = {2008},
}