Constraints on the temporal dispersion of passive metamaterials
(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:
https://lup.lub.lu.se/record/2028748
- author
- Gustafsson, Mats LU and Sjöberg, Daniel LU
- organization
- publishing date
- 2011
- 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
- 978-1-4244-6051-9
- 978-1-4244-5117-3
- 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 = {{978-1-4244-6051-9}}, 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}}, }