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On multi-dimensional systems; Properties of their transfer functions

Jonsson, B. L G and Gustafsson, M. LU orcid (2016) 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016 p.512-514
Abstract

A range of interesting electromagnetic systems like antennas, extraordinary transmission and absorbers have been shown to have certain bandwidth limitations given by a family of sum-rules. Common for the systems are that they are passive, linear and time-translational invariant. In this paper we shortly review the extension from one-dimensional passive systems to multi-dimensional systems, aiming towards constraining the system properties. The most well-known case of system constraints follows from multi-dimensional passivity, where a Schwartz-kernel representation theorem maps Borel-measures with a growth condition to the (complexified) Fourier transform of the transfer function.

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author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
article number
7571440
pages
3 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
conference location
Espoo, Finland
conference dates
2016-08-14 - 2016-08-18
external identifiers
  • scopus:84992124326
ISBN
9781509025022
DOI
10.1109/URSI-EMTS.2016.7571440
language
English
LU publication?
yes
id
dd5f14bf-cada-4b43-ac4e-37feaa17c723
date added to LUP
2016-11-16 14:58:03
date last changed
2022-01-30 07:33:57
@inproceedings{dd5f14bf-cada-4b43-ac4e-37feaa17c723,
  abstract     = {{<p>A range of interesting electromagnetic systems like antennas, extraordinary transmission and absorbers have been shown to have certain bandwidth limitations given by a family of sum-rules. Common for the systems are that they are passive, linear and time-translational invariant. In this paper we shortly review the extension from one-dimensional passive systems to multi-dimensional systems, aiming towards constraining the system properties. The most well-known case of system constraints follows from multi-dimensional passivity, where a Schwartz-kernel representation theorem maps Borel-measures with a growth condition to the (complexified) Fourier transform of the transfer function.</p>}},
  author       = {{Jonsson, B. L G and Gustafsson, M.}},
  booktitle    = {{2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016}},
  isbn         = {{9781509025022}},
  language     = {{eng}},
  month        = {{09}},
  pages        = {{512--514}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{On multi-dimensional systems; Properties of their transfer functions}},
  url          = {{http://dx.doi.org/10.1109/URSI-EMTS.2016.7571440}},
  doi          = {{10.1109/URSI-EMTS.2016.7571440}},
  year         = {{2016}},
}