Metamaterial models of curved spacetime

Tom G. Mackay, Akhlesh Lakhtakia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


The electromagnetic properties of vacuous curved spacetime and of a certain fictitious material in flat spacetime are noncovariantly equivalent. This fictitious medium-known as the Tamm medium-is generally bianisotropic and nonhomogeneous. The Tamm medium offers opportunities for exploring the electromagnetic properties of certain curved-spacetime scenarios that may be impractical to explore by direct methods. The realization of various Tamm mediums as homogenized composite mediums was investigated. The approach taken involved the homogenization of relatively simple component materials, with the inverse Bruggeman formalism exploited to estimate appropriate constitutive parameters, shape parameters, and volume fractions for the component materials. Typically, Tamm mediums are highly anisotropic in regions corresponding to relatively large spacetime curvature (e.g., in the vicinity of spacetime singularities). In principle, at least, such high degrees of anisotropy may be achieved by homogenizing component particles that are highly elongated. The nonhomogeneous nature of Tamm mediums can be accommodated by adopting a piecewise homogeneous approach, which is valid for appropriate wavelength regimes.

Original languageEnglish (US)
Title of host publicationMetamaterials, Metadevices, and Metasystems 2015
EditorsNader Engheta, Nikolay I. Zheludev, Mikhail A. Noginov, Nikolay I. Zheludev
ISBN (Electronic)9781628417111
StatePublished - 2015
EventMetamaterials, Metadevices, and Metasystems 2015 - San Diego, United States
Duration: Aug 9 2015Aug 13 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


OtherMetamaterials, Metadevices, and Metasystems 2015
Country/TerritoryUnited States
CitySan Diego

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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