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Sum rules and physical bounds on passive metamaterials

In English

Författare

Summary, in English

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.

Publiceringsår

2010

Språk

Engelska

Publikation/Tidskrift/Serie

New Journal of Physics

Volym

12

Dokumenttyp

Artikel i tidskrift

Förlag

IOP Publishing

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Forskningsgrupp

  • Electromagnetic theory

ISBN/ISSN/Övrigt

  • ISSN: 1367-2630