Relationship between group velocity and symmetry of photonic crystals

doi:10.1088/1674-1056/19/5/054215

Abstract Group velocity (GV) of eigenmode is a crucial parameter to explain the extraordinary phenomena about light propagation in photonic crystals (PhCs). To study relationships between group velocity and symmetry of PhCs, a new general expression of GV in PhCs made up of non-dispersive material is introduced. Based on this, the GVs of eigenmodes of PhCs, especially those of degenerate eigenmodes at highly symmetric points in the first Brillouin zone, are discussed. Some interesting results are obtained. For example, the summation of degenerate eigenmodes' GVs is invariant under the operations of wave vector K-group M_K. In addition, some numerical results are presented to verify them.

Keywords: group velocity symmetry photonic crystals degenerate eigenmode

Received: 11 March 2009
Revised: 25 September 2009
Accepted manuscript online:

PACS:	42.70.Qs	(Photonic bandgap materials)
	02.10.Ud	(Linear algebra)

Cite this article:

Ye Wei-Min(叶卫民), Luo Zhang(罗章), Yuan Xiao-Dong(袁晓东), and Zeng Chun(曾淳) Relationship between group velocity and symmetry of photonic crystals 2010 Chin. Phys. B 19 054215

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Relationship between group velocity and symmetry of photonic crystals

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