Constraints on the temporal dispersion of passive metamaterials

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review


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.
Original languageEnglish
Title of host publication2011 XXXth URSI General Assembly and Scientific Symposium
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Electronic)978-1-4244-6051-9
ISBN (Print)978-1-4244-5117-3
Publication statusPublished - 2011
EventXXXth URSI General Assembly, 2011 - Istanbul, Istanbul, Turkey
Duration: 2011 Aug 132011 Aug 20
Conference number: 30


ConferenceXXXth URSI General Assembly, 2011

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering


  • Metamaterial
  • sum rule


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