Issue Eur. Phys. J. Appl. Phys. Volume 32, Number 3, December 2005 Page(s) 159 - 165 Section Nanomaterials and Nanotechnologies DOI 10.1051/epjap:2005087 Published online 06 December 2005

Eur. Phys. J. Appl. Phys. 32, 159-165 (2005)
DOI: 10.1051/epjap:2005087

Symmetry properties of 2D magnetic photonic crystals with square lattice

V. Dmitriev

Department of Electrical and Computer Engineering, University Federal of Para, PO Box 8619, Agencia UFPA, CEP 66075-900, Belem, Para, Brazil

victor@ufpa.br

(Received: 20 April 2005 / Received in final form: 7 June 2005 / Accepted: 7 July 2005 / Published online: 6 December 2005 )

Abstract
We consider possible magnetic symmetries of two-dimensional square lattices with circular ferrite rods magnetized by a uniform dc magnetic field. These structures can be used as tunable and nonreciprocal photonic crystals. Classification of eigenmodes in such crystals and compatibility relations are discussed on the basis of magnetic group theory and the theory of (co)representations. Some general electromagnetic properties of the magnetic crystals such as change in the basic domain of the Brillouin zone, change of symmetry in limiting cases, bidirectionality and nonreciprocity, symmetry relations for the waves and lifting of eigenwave degeneracies by dc magnetic field are also discussed.

PACS
42.70.Qs - Photonic bandgap materials.
78.67.-n - Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures.
75.75.+a - Magnetic properties of nanostructures.

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