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Constraints on the temporal dispersion of passive metamaterials

Gustafsson, Mats LU orcid and Sjöberg, Daniel LU orcid (2011) XXXth URSI General Assembly, 2011
Abstract
Metamaterial applications such as cloaking, perfect lenses, and artificial permeability are restricted by

the frequency dependence of the permittivity, permeability, and index of refraction. Here, causality and passivity together with integral identities for Herglotz functions are used to construct sum rules. The sum rules relate the frequency dependence of the material parameters with their high- and low-frequency values. The corresponding physical bounds determine the minimum variations of the material parameters over a frequency interval. The results are illustrated with a numerical example for artificial permeability.
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
keywords
Metamaterial, sum rule
host publication
2011 XXXth URSI General Assembly and Scientific Symposium
pages
4 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
XXXth URSI General Assembly, 2011
conference location
Istanbul, Turkey
conference dates
2011-08-13 - 2011-08-20
external identifiers
  • scopus:81255179304
ISBN
978-1-4244-5117-3
978-1-4244-6051-9
DOI
10.1109/URSIGASS.2011.6050384
language
English
LU publication?
yes
id
8293f71b-6621-4c73-9291-026adb8cff35 (old id 2028748)
date added to LUP
2016-04-04 13:13:15
date last changed
2024-01-13 06:22:13
@inproceedings{8293f71b-6621-4c73-9291-026adb8cff35,
  abstract     = {{Metamaterial applications such as cloaking, perfect lenses, and artificial permeability are restricted by<br/><br>
the frequency dependence of the permittivity, permeability, and index of refraction. Here, causality and passivity together with integral identities for Herglotz functions are used to construct sum rules. The sum rules relate the frequency dependence of the material parameters with their high- and low-frequency values. The corresponding physical bounds determine the minimum variations of the material parameters over a frequency interval. The results are illustrated with a numerical example for artificial permeability.}},
  author       = {{Gustafsson, Mats and Sjöberg, Daniel}},
  booktitle    = {{2011 XXXth URSI General Assembly and Scientific Symposium}},
  isbn         = {{978-1-4244-5117-3}},
  keywords     = {{Metamaterial; sum rule}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Constraints on the temporal dispersion of passive metamaterials}},
  url          = {{http://dx.doi.org/10.1109/URSIGASS.2011.6050384}},
  doi          = {{10.1109/URSIGASS.2011.6050384}},
  year         = {{2011}},
}