Sum rules and physical bounds on passive metamaterials

Research output: Book/ReportReport


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.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Electrical Engineering, Electronic Engineering, Information Engineering
Original languageEnglish
Publisher[Publisher information missing]
Number of pages19
Publication statusPublished - 2010
Publication categoryResearch

Publication series

NameTechnical Report LUTEDX/(TEAT-7186)/1-19/(2010)

Bibliographic note

Published version: New Journal of Physics, Vol. 12, pp. 043046-, 2010.

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