LIU Guang-yu, NING Yong-qiang, ZHANG Li-sen, WANG Wei, SUN Yan-fang, QIN Li, LIU Yun, WANG Li-jun. Two-dimension Photonic Crystal Complete Bandgap[J]. Chinese Journal of Luminescence, 2011,32(2): 169-173
LIU Guang-yu, NING Yong-qiang, ZHANG Li-sen, WANG Wei, SUN Yan-fang, QIN Li, LIU Yun, WANG Li-jun. Two-dimension Photonic Crystal Complete Bandgap[J]. Chinese Journal of Luminescence, 2011,32(2): 169-173DOI:
Photonics crystal (PhC)is the material in which the refractive index changes periodically and the PhC has a band structure and location mode
this structure can control light.In order to study two-dimensional PhC complete band gap
in this paper
plane wave expansion method was employed to simulate four types of two-dimensional PhC. We study the relationship between the complete bandgap and the variation of column radius
r
with a fixed lattice constant. We found that hexagonal lattice PhC air holes complete band gap appears in the
r
=0.42~0.50 m range
complete band gap width does not increase with the air column radiu
r
but there is a maximum width. The maximum band gap width is
1
=0.08(
a
/2
c
).When air column radiu
r
=0.47~0.50 m
square lattice PhC exists complete bandgap
the band gap width
2
=0.02(
a
/2
c
).And complete band gap center frequency increases with
r
. Results indicate that for hexagonal and square GaAs columnar PhC there is no complete band gap.
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references
Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics [J]. Phys. Rev. Lett., 1987, 58 (20):2059-2062.[2] John S. Strong localization of photons in certain disordered dielectric superlattices [J]. Phys. Rev. Lett., 1987, 58 (23):2486-2489.[3] Liang Lanju. Propagation characteristic of 2D triangular lattice photonic crystal in THz range [J]. Chin. J. Lumin. (发光学报), 2010, 30 (1):35-39 (in Chinese).[4] Zhang Haifeng, Ma Li, Liu Shaobin. The forbidden band gap of time-varying magnetized plasma photonic crystals [J]. Chin. J. Lumin. (发光学报), 2010, 30 (2):142-146 (in Chinese).[5] Yan Mingbao, Wang Hailong, Hou Ping. Transmission properties of 2D photonic crystals with triangular dielectric rods [J]. Chin. J. Lumin. (发光学报), 2009, 30 (1):1-5 (in English).[6] Yu Jianli, Shen Hongjun. Study of defect modes in two-dimensional square photonic crystal consisting of anisotropic cylinders [J]. Chin. J. Lumin. (发光学报), 2009, 30 (1):25-29 (in Chinese).[7] Li L M. Two dimensional photonic crystals: Candidate for wave plates [J]. Appl. Phys. Lett., 2001, 78 (22):3400-3402.[8] Ao X, He S. Polarization beam splitters based on a two-dimensional photonic crystal of negative refraction [J]. Opt. Lett., 2005, 30 (16):2152-2154.[9] Chen Song, Wang Weibiao, Liang Jingqiu, et al. Two-dimensional square photonic crystal microcavities [J]. Chin. J. Lumin. (发光学报), 2006, 28 (1):7-11 (in Chinese).[10] Wu Yaode, Li Jijun, Chen Haiyan. Propagating characteristics and applications of parallel photonic crystal waveguides [J]. Chin. J. Lumin. (发光学报), 2006, 30 (5):674-677 (in Chinese).[11] Qiu M, Jaskorzynska B. Design of a channel drop filter in a two-dimensional triangular photonic crystal [J]. Appl. Phys. Lett., 2006, 83 (6):1074-1076.[12] Meade R D, Rappe A M, Brommer K D, et al. Accurate theoretical analysis of photonic band-gap materials [J]. Phys. Rev. B, 1993, 48 (11):8434-8437.