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Group theoretical description of artificial electromagnetic metamaterials.

Publication ,  Journal Article
Padilla, WJ
Published in: Optics express
February 2007

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.

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Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

February 2007

Volume

15

Issue

4

Start / End Page

1639 / 1646

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

Citation

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Padilla, W. J. (2007). Group theoretical description of artificial electromagnetic metamaterials. Optics Express, 15(4), 1639–1646. https://doi.org/10.1364/oe.15.001639
Padilla, Willie J. “Group theoretical description of artificial electromagnetic metamaterials.Optics Express 15, no. 4 (February 2007): 1639–46. https://doi.org/10.1364/oe.15.001639.
Padilla WJ. Group theoretical description of artificial electromagnetic metamaterials. Optics express. 2007 Feb;15(4):1639–46.
Padilla, Willie J. “Group theoretical description of artificial electromagnetic metamaterials.Optics Express, vol. 15, no. 4, Feb. 2007, pp. 1639–46. Epmc, doi:10.1364/oe.15.001639.
Padilla WJ. Group theoretical description of artificial electromagnetic metamaterials. Optics express. 2007 Feb;15(4):1639–1646.
Journal cover image

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

February 2007

Volume

15

Issue

4

Start / End Page

1639 / 1646

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics