中国物理B ›› 2010, Vol. 19 ›› Issue (5): 54215-054215.doi: 10.1088/1674-1056/19/5/054215

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Relationship between group velocity and symmetry of photonic crystals

叶卫民, 罗章, 袁晓东, 曾淳   

  1. College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2009-03-11 修回日期:2009-09-25 出版日期:2010-05-15 发布日期:2010-05-15

Relationship between group velocity and symmetry of photonic crystals

Ye Wei-Min(叶卫民)†, Luo Zhang(罗章), Yuan Xiao-Dong(袁晓东), and Zeng Chun(曾淳)   

  1. College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • Received:2009-03-11 Revised:2009-09-25 Online:2010-05-15 Published:2010-05-15

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摘要： 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 ${{\bm K}}$-group $M_{{\bm K}} $. In addition, some numerical results are presented to verify them.

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 MK. In addition, some numerical results are presented to verify them.

Key words: group velocity, symmetry, photonic crystals, degenerate eigenmode

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
02.10.Ud (Linear algebra)