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Sum rules and physical bounds on passive metamaterials

Gustafsson, Mats LU and Sjöberg, Daniel LU (2010) In Technical Report LUTEDX/(TEAT-7186)/1-19/(2010) TEAT-7186.
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... (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 limit. (Less)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7186)/1-19/(2010)
volume
TEAT-7186
pages
19 pages
publisher
[Publisher information missing]
external identifiers
  • Scopus:77952380045
language
English
LU publication?
yes
id
c3d0e6e2-1a51-4e56-bbc6-e150463b8a9d (old id 1545310)
date added to LUP
2010-02-16 10:49:46
date last changed
2016-12-04 04:47:58
@misc{c3d0e6e2-1a51-4e56-bbc6-e150463b8a9d,
  abstract     = {Frequency dependence of the permittivity and permeability is inevitable in<br/><br>
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 limit.},
  author       = {Gustafsson, Mats and Sjöberg, Daniel},
  language     = {eng},
  pages        = {19},
  publisher    = {ARRAY(0x7f37fa0)},
  series       = {Technical Report LUTEDX/(TEAT-7186)/1-19/(2010)},
  title        = {Sum rules and physical bounds on passive metamaterials},
  volume       = {TEAT-7186},
  year         = {2010},
}