Group theoretical description of artificial electromagnetic metamaterials.


Journal Article

Point group theoretical methods are used to determine the electromagnetic properties of metamaterials, based solely upon the symmetries of the underlying constituent particles. From the transformation properties of an electromagnetic (EM) basis under symmetries of the particles, it is possible to determine, (i) the EM modes of the particles, (ii) the form of constitutive relations (iii) magneto-optical response of a metamaterial or lack thereof. Based upon these methods, we predict an ideal planar artificial magnetic metamaterial, and determine the subset of point groups of which particles must belong to in order to yield an isotropic 3D magnetic response, and we show an example.

Full Text

Duke Authors

Cited Authors

  • Padilla, WJ

Published Date

  • February 2007

Published In

Volume / Issue

  • 15 / 4

Start / End Page

  • 1639 - 1646

PubMed ID

  • 19532398

Pubmed Central ID

  • 19532398

Electronic International Standard Serial Number (EISSN)

  • 1094-4087

International Standard Serial Number (ISSN)

  • 1094-4087

Digital Object Identifier (DOI)

  • 10.1364/oe.15.001639


  • eng