Metamaterial models of curved spacetime

Tom G. Mackay, Akhlesh Lakhtakia

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

1 Citation (Scopus)

Abstract

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
PublisherSPIE
ISBN (Electronic)9781628417111
DOIs
StatePublished - Jan 1 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
Volume9544
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherMetamaterials, Metadevices, and Metasystems 2015
CountryUnited States
CitySan Diego
Period8/9/158/13/15

Fingerprint

Metamaterials
Space-time
electromagnetic properties
homogenizing
Volume fraction
Composite Media
Anisotropy
Model
Shape Parameter
Wavelength
Direct Method
Volume Fraction
Homogenization
Composite materials
Curvature
curvature
Singularity
Valid
formalism
Scenarios

All Science Journal Classification (ASJC) codes

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

Cite this

Mackay, T. G., & Lakhtakia, A. (2015). Metamaterial models of curved spacetime. In N. Engheta, N. I. Zheludev, M. A. Noginov, & N. I. Zheludev (Eds.), Metamaterials, Metadevices, and Metasystems 2015 [95442K] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9544). SPIE. https://doi.org/10.1117/12.2190116
Mackay, Tom G. ; Lakhtakia, Akhlesh. / Metamaterial models of curved spacetime. Metamaterials, Metadevices, and Metasystems 2015. editor / Nader Engheta ; Nikolay I. Zheludev ; Mikhail A. Noginov ; Nikolay I. Zheludev. SPIE, 2015. (Proceedings of SPIE - The International Society for Optical Engineering).
@inproceedings{1cfaca5cc6db4e25b926e761b89bb2f8,
title = "Metamaterial models of curved spacetime",
abstract = "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.",
author = "Mackay, {Tom G.} and Akhlesh Lakhtakia",
year = "2015",
month = "1",
day = "1",
doi = "10.1117/12.2190116",
language = "English (US)",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Nader Engheta and Zheludev, {Nikolay I.} and Noginov, {Mikhail A.} and Zheludev, {Nikolay I.}",
booktitle = "Metamaterials, Metadevices, and Metasystems 2015",
address = "United States",

}

Mackay, TG & Lakhtakia, A 2015, Metamaterial models of curved spacetime. in N Engheta, NI Zheludev, MA Noginov & NI Zheludev (eds), Metamaterials, Metadevices, and Metasystems 2015., 95442K, Proceedings of SPIE - The International Society for Optical Engineering, vol. 9544, SPIE, Metamaterials, Metadevices, and Metasystems 2015, San Diego, United States, 8/9/15. https://doi.org/10.1117/12.2190116

Metamaterial models of curved spacetime. / Mackay, Tom G.; Lakhtakia, Akhlesh.

Metamaterials, Metadevices, and Metasystems 2015. ed. / Nader Engheta; Nikolay I. Zheludev; Mikhail A. Noginov; Nikolay I. Zheludev. SPIE, 2015. 95442K (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9544).

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

TY - GEN

T1 - Metamaterial models of curved spacetime

AU - Mackay, Tom G.

AU - Lakhtakia, Akhlesh

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84951004662&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84951004662&partnerID=8YFLogxK

U2 - 10.1117/12.2190116

DO - 10.1117/12.2190116

M3 - Conference contribution

AN - SCOPUS:84951004662

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Metamaterials, Metadevices, and Metasystems 2015

A2 - Engheta, Nader

A2 - Zheludev, Nikolay I.

A2 - Noginov, Mikhail A.

A2 - Zheludev, Nikolay I.

PB - SPIE

ER -

Mackay TG, Lakhtakia A. Metamaterial models of curved spacetime. In Engheta N, Zheludev NI, Noginov MA, Zheludev NI, editors, Metamaterials, Metadevices, and Metasystems 2015. SPIE. 2015. 95442K. (Proceedings of SPIE - The International Society for Optical Engineering). https://doi.org/10.1117/12.2190116