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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1458447
- author
- Gustafsson, Mats
LU
and Sjöberg, Daniel
LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- New Journal of Physics
- volume
- 12
- article number
- 043046
- publisher
- IOP Publishing
- 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
- 2016-04-04 14:17:24
- date last changed
- 2022-01-30 01:44:56
@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.}},
author = {{Gustafsson, Mats and Sjöberg, Daniel}},
issn = {{1367-2630}},
language = {{eng}},
publisher = {{IOP Publishing}},
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}},
doi = {{10.1088/1367-2630/12/4/043046}},
volume = {{12}},
year = {{2010}},
}