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Bandwidth Limitations for Scattering of Higher Order Electromagnetic Spherical Waves with Implications for the Antenna Scattering Matrix

Bernland, Anders LU (2012) In IEEE Transactions on Antennas and Propagation 60(9). p.4345-4353
Abstract
Various physical limitations in electromagnetic theory and antenna theory have received considerable attention recently. However, there are no previous limitations on the scattering of higher order electromagnetic vector spherical waves, despite the widespread use of spherical wave decompositions. In the present paper, bandwidth limitations on the scattering matrix are derived for a wide class of heterogeneous objects, in terms of their electrical size, shape and static material properties. In particular, it is seen that the order of the dominating term in the Rayleigh limit increases with the order of the spherical wave. Furthermore, it is shown how the limitations place bounds on the antenna scattering matrix, thus introducing a new... (More)
Various physical limitations in electromagnetic theory and antenna theory have received considerable attention recently. However, there are no previous limitations on the scattering of higher order electromagnetic vector spherical waves, despite the widespread use of spherical wave decompositions. In the present paper, bandwidth limitations on the scattering matrix are derived for a wide class of heterogeneous objects, in terms of their electrical size, shape and static material properties. In particular, it is seen that the order of the dominating term in the Rayleigh limit increases with the order of the spherical wave. Furthermore, it is shown how the limitations place bounds on the antenna scattering matrix, thus introducing a new approach to physical limitations on antennas. Comparisons to other types of antenna limitations are given, and numerical simulations for two folded spherical helix antennas and a directive Yagi-Uda antenna are included to illuminate and validate the theory. The results in this paper are derived using a general approach to derive limitations for passive systems: First, the low-frequency asymptotic expansion of the scattering matrix of a general scatterer is derived. This gives a set of sum rules, from which the limitations follow. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
spherical wave expansion, electromagnetic scattering, antenna scattering matrix, physical limitations, sum rules.
in
IEEE Transactions on Antennas and Propagation
volume
60
issue
9
pages
4345 - 4353
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000308460600034
  • scopus:84862688580
ISSN
0018-926X
DOI
10.1109/TAP.2012.2207071
project
EIT_HSWC:Antenna MIMO antennas and channels
language
English
LU publication?
yes
id
3b44f6a1-fd09-48d1-8805-f021d588a1bb (old id 2441612)
date added to LUP
2012-04-23 15:02:05
date last changed
2017-11-12 03:42:15
@article{3b44f6a1-fd09-48d1-8805-f021d588a1bb,
  abstract     = {Various physical limitations in electromagnetic theory and antenna theory have received considerable attention recently. However, there are no previous limitations on the scattering of higher order electromagnetic vector spherical waves, despite the widespread use of spherical wave decompositions. In the present paper, bandwidth limitations on the scattering matrix are derived for a wide class of heterogeneous objects, in terms of their electrical size, shape and static material properties. In particular, it is seen that the order of the dominating term in the Rayleigh limit increases with the order of the spherical wave. Furthermore, it is shown how the limitations place bounds on the antenna scattering matrix, thus introducing a new approach to physical limitations on antennas. Comparisons to other types of antenna limitations are given, and numerical simulations for two folded spherical helix antennas and a directive Yagi-Uda antenna are included to illuminate and validate the theory. The results in this paper are derived using a general approach to derive limitations for passive systems: First, the low-frequency asymptotic expansion of the scattering matrix of a general scatterer is derived. This gives a set of sum rules, from which the limitations follow.},
  author       = {Bernland, Anders},
  issn         = {0018-926X},
  keyword      = {spherical wave expansion,electromagnetic scattering,antenna scattering matrix,physical limitations,sum rules.},
  language     = {eng},
  number       = {9},
  pages        = {4345--4353},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Antennas and Propagation},
  title        = {Bandwidth Limitations for Scattering of Higher Order Electromagnetic Spherical Waves with Implications for the Antenna Scattering Matrix},
  url          = {http://dx.doi.org/10.1109/TAP.2012.2207071},
  volume       = {60},
  year         = {2012},
}