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Sum rules and physical bounds in electromagnetic theory

Gustafsson, Mats LU orcid ; Sjöberg, Daniel LU orcid ; Bernland, Anders LU ; Kristensson, Gerhard LU and Sohl, Christian LU (2010) International Symposium on Electromagnetic Theory, 2010 p.37-40
Abstract
Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.
Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
[Host publication title missing]
pages
37 - 40
conference name
International Symposium on Electromagnetic Theory, 2010
conference location
Berlin, Germany
conference dates
2010-08-16 - 2010-08-19
external identifiers
  • scopus:78650412755
DOI
10.1109/URSI-EMTS.2010.5637030
language
English
LU publication?
yes
id
516fb311-f780-422f-b96c-401d8498e243 (old id 1638055)
date added to LUP
2016-04-04 13:32:17
date last changed
2022-01-30 00:29:45
@inproceedings{516fb311-f780-422f-b96c-401d8498e243,
  abstract     = {{Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.}},
  author       = {{Gustafsson, Mats and Sjöberg, Daniel and Bernland, Anders and Kristensson, Gerhard and Sohl, Christian}},
  booktitle    = {{[Host publication title missing]}},
  language     = {{eng}},
  pages        = {{37--40}},
  title        = {{Sum rules and physical bounds in electromagnetic theory}},
  url          = {{http://dx.doi.org/10.1109/URSI-EMTS.2010.5637030}},
  doi          = {{10.1109/URSI-EMTS.2010.5637030}},
  year         = {{2010}},
}