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Physical limitations on antennas of arbitrary shape

Gustafsson, Mats LU orcid ; Sohl, Christian LU and Kristensson, Gerhard LU (2007) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 463(2086). p.2589-2607
Abstract
In this paper, physical limitations on bandwidth, realized gain, Q-factor and directivity are derived for antennas of arbitrary shape. The product of bandwidth and realizable gain is shown to be bounded from above by the eigenvalues of the long-wavelength, high-contrast polarizability dyadics. These dyadics are proportional to the antenna volume and are easily determined for an arbitrary geometry. Ellipsoidal antenna volumes are analysed in detail, and numerical results for some generic geometries are presented. The theory is verified against the classical Chu limitations for spherical geometries and shown to yield sharper bounds for the ratio of the directivity and the Q-factor for non-spherical geometries.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
volume
463
issue
2086
pages
2589 - 2607
publisher
Royal Society Publishing
external identifiers
  • wos:000248887600013
  • scopus:36349004836
ISSN
1364-5021
DOI
10.1098/rspa.2007.1893
project
EIT_HSWC:Antenna MIMO antennas and channels
language
English
LU publication?
yes
id
9130ab96-c64f-4511-a843-47c1f3d4856f (old id 610204)
alternative location
http://dx.doi.org/10.1098/rspa.2007.1893
date added to LUP
2016-04-04 09:43:54
date last changed
2025-04-04 15:29:29
@article{9130ab96-c64f-4511-a843-47c1f3d4856f,
  abstract     = {{In this paper, physical limitations on bandwidth, realized gain, Q-factor and directivity are derived for antennas of arbitrary shape. The product of bandwidth and realizable gain is shown to be bounded from above by the eigenvalues of the long-wavelength, high-contrast polarizability dyadics. These dyadics are proportional to the antenna volume and are easily determined for an arbitrary geometry. Ellipsoidal antenna volumes are analysed in detail, and numerical results for some generic geometries are presented. The theory is verified against the classical Chu limitations for spherical geometries and shown to yield sharper bounds for the ratio of the directivity and the Q-factor for non-spherical geometries.}},
  author       = {{Gustafsson, Mats and Sohl, Christian and Kristensson, Gerhard}},
  issn         = {{1364-5021}},
  language     = {{eng}},
  number       = {{2086}},
  pages        = {{2589--2607}},
  publisher    = {{Royal Society Publishing}},
  series       = {{Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences}},
  title        = {{Physical limitations on antennas of arbitrary shape}},
  url          = {{http://dx.doi.org/10.1098/rspa.2007.1893}},
  doi          = {{10.1098/rspa.2007.1893}},
  volume       = {{463}},
  year         = {{2007}},
}