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On multi-dimensional systems; Properties of their transfer functions

Jonsson, B. L G and Gustafsson, M. LU (2016) 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016 In 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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
pages
3 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
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
2017-01-01 08:39:50
@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    = {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},
  year         = {2016},
}