Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves

Tom G. Mackay; Akhlesh Lakhtakia

doi:10.1109/TAP.2014.2358689

Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves

Tom G. Mackay, Akhlesh Lakhtakia

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise-homogeneous metamaterial. Our formulation was based on the homogenization of remarkably simple arrangements of oriented ellipsoidal nanoparticles of isotropic dielectric-magnetic mediums. The inverse Bruggeman homogenization was used to estimate the constitutive parameters, volume fractions, and shape parameters for the component mediums. The presented formulation is appropriate for the regions of spacetime where the two gravitational plane waves interact, excluding the immediate vicinity of the nonsingular Killing-Cauchy horizon at the focusing point of the two plane waves.

Original language	English (US)
Article number	6901235
Pages (from-to)	6149-6154
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	62
Issue number	12
DOIs	https://doi.org/10.1109/TAP.2014.2358689
State	Published - Dec 1 2014

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/TAP.2014.2358689

Cite this

@article{211672791d1d4faf9573478b50bb7f67,

title = "Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves",

abstract = "We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise-homogeneous metamaterial. Our formulation was based on the homogenization of remarkably simple arrangements of oriented ellipsoidal nanoparticles of isotropic dielectric-magnetic mediums. The inverse Bruggeman homogenization was used to estimate the constitutive parameters, volume fractions, and shape parameters for the component mediums. The presented formulation is appropriate for the regions of spacetime where the two gravitational plane waves interact, excluding the immediate vicinity of the nonsingular Killing-Cauchy horizon at the focusing point of the two plane waves.",

author = "Mackay, {Tom G.} and Akhlesh Lakhtakia",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2014",

month = dec,

day = "1",

doi = "10.1109/TAP.2014.2358689",

language = "English (US)",

volume = "62",

pages = "6149--6154",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "12",

}

TY - JOUR

T1 - Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves

AU - Mackay, Tom G.

AU - Lakhtakia, Akhlesh

PY - 2014/12/1

Y1 - 2014/12/1

N2 - We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise-homogeneous metamaterial. Our formulation was based on the homogenization of remarkably simple arrangements of oriented ellipsoidal nanoparticles of isotropic dielectric-magnetic mediums. The inverse Bruggeman homogenization was used to estimate the constitutive parameters, volume fractions, and shape parameters for the component mediums. The presented formulation is appropriate for the regions of spacetime where the two gravitational plane waves interact, excluding the immediate vicinity of the nonsingular Killing-Cauchy horizon at the focusing point of the two plane waves.

AB - We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise-homogeneous metamaterial. Our formulation was based on the homogenization of remarkably simple arrangements of oriented ellipsoidal nanoparticles of isotropic dielectric-magnetic mediums. The inverse Bruggeman homogenization was used to estimate the constitutive parameters, volume fractions, and shape parameters for the component mediums. The presented formulation is appropriate for the regions of spacetime where the two gravitational plane waves interact, excluding the immediate vicinity of the nonsingular Killing-Cauchy horizon at the focusing point of the two plane waves.

UR - http://www.scopus.com/inward/record.url?scp=84914125494&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84914125494&partnerID=8YFLogxK

U2 - 10.1109/TAP.2014.2358689

DO - 10.1109/TAP.2014.2358689

M3 - Article

AN - SCOPUS:84914125494

SN - 0018-926X

VL - 62

SP - 6149

EP - 6154

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 12

M1 - 6901235

ER -

Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this