Acta Optica Sinica, Volume. 32, Issue 7, 726002(2012)
Effects of Point Group Symmetry on Irreducible Brillouin Zone in Two-Dimensional Photonic Crystals
By using the plane-wave expansion method, the effect of point group symmetry on irreducible Brillouin zone in two-dimensional photonic crystals is studied. Additional cylinder in unit cell of single-cylinder two-dimensiional photonic crystal is designed as symmetrical structures with different operation numbers of symmetry, eigen-frequencies of the five lowest energy bands in the Brillouin zone are calculated. The results show that in the calculation of two-dimensional photonic crystal band structure, if the photonic crystal point group symmetry operation number is n, the irreducible Brillouin zone should be 1/n of the whole first Brillouin zone.
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Xu Zhenlong, Wu Fugen, Guo Zhongning. Effects of Point Group Symmetry on Irreducible Brillouin Zone in Two-Dimensional Photonic Crystals[J]. Acta Optica Sinica, 2012, 32(7): 726002
Category: Physical Optics
Received: Jan. 11, 2012
Accepted: --
Published Online: May. 31, 2012
The Author Email: Zhenlong Xu (zhenlongxu@sohu.com)