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Sum rules and physical bounds on passive metamaterials

Gustafsson, Mats LU and Sjöberg, Daniel LU (2010) In New Journal of Physics 12.
Abstract
Frequency dependence of the permittivity and permeability is inevitable in metamaterial applications such as cloaking and perfect lenses. In this paper, Herglotz functions are used as a tool to construct sum rules from which we derive physical bounds suited for metamaterial applications, where the material parameters are often designed to be negative or near zero in the frequency band of interest. Several sum rules are presented that relate the temporal dispersion of the material parameters with the difference between the static and instantaneous parameter values, which are used to give upper bounds on the bandwidth of the application. This substantially advances the understanding of the behavior of metamaterials with extraordinary... (More)
Frequency dependence of the permittivity and permeability is inevitable in metamaterial applications such as cloaking and perfect lenses. In this paper, Herglotz functions are used as a tool to construct sum rules from which we derive physical bounds suited for metamaterial applications, where the material parameters are often designed to be negative or near zero in the frequency band of interest. Several sum rules are presented that relate the temporal dispersion of the material parameters with the difference between the static and instantaneous parameter values, which are used to give upper bounds on the bandwidth of the application. This substantially advances the understanding of the behavior of metamaterials with extraordinary material parameters, and reveals a beautiful connection between properties in the design band (finite frequencies) and the low- and high-frequency limits. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
12
publisher
IOP Publishing Ltd.
external identifiers
  • wos:000277355000005
  • scopus:77952380045
ISSN
1367-2630
DOI
10.1088/1367-2630/12/4/043046
language
English
LU publication?
yes
id
c275df6c-01d6-442d-9728-4f555f288f62 (old id 1458447)
date added to LUP
2009-08-12 11:11:13
date last changed
2017-08-27 06:11:33
@article{c275df6c-01d6-442d-9728-4f555f288f62,
  abstract     = {Frequency dependence of the permittivity and permeability is inevitable in metamaterial applications such as cloaking and perfect lenses. In this paper, Herglotz functions are used as a tool to construct sum rules from which we derive physical bounds suited for metamaterial applications, where the material parameters are often designed to be negative or near zero in the frequency band of interest. Several sum rules are presented that relate the temporal dispersion of the material parameters with the difference between the static and instantaneous parameter values, which are used to give upper bounds on the bandwidth of the application. This substantially advances the understanding of the behavior of metamaterials with extraordinary material parameters, and reveals a beautiful connection between properties in the design band (finite frequencies) and the low- and high-frequency limits.},
  articleno    = {043046},
  author       = {Gustafsson, Mats and Sjöberg, Daniel},
  issn         = {1367-2630},
  language     = {eng},
  publisher    = {IOP Publishing Ltd.},
  series       = {New Journal of Physics},
  title        = {Sum rules and physical bounds on passive metamaterials},
  url          = {http://dx.doi.org/10.1088/1367-2630/12/4/043046},
  volume       = {12},
  year         = {2010},
}