中国激光, 2007, 34 (8): 1077, 网络出版: 2007-09-05   

结构无序对8重准晶光子晶体带隙特性的影响

Effect of Structure Disorder on Band Gap of Eight-Fold Photonic Quasicrystals
作者单位
华南师范大学光子信息技术广东省高校重点实验室, 广东 广州 510006
摘要
采用时域有限差分法(FDTD)对介质柱构成的8重准晶光子晶体(PQC)的光子带隙(PBG)特性进行了研究,分别讨论了介质柱尺寸无序和位置无序对其带隙宽度、位置和各向同性的影响。数值模拟结果表明,随着介质柱尺寸无序和位置无序的增大,8重准晶光子晶体带隙的中心频率向低频方向移动,带隙的相对宽度均变窄,但介质柱尺寸无序对带隙的影响远大于位置无序的影响。当尺寸无序达到介质柱半径的一半时,带隙完全消失,而对于相同大小的位置无序,相对带隙宽度只改变了1%;同时,在较大结构无序范围内,带隙的各向同性也能很好地保持。
Abstract
The photonic band gap (PBG) of eight-fold photonic quasicrystal (PQC) with dielectric cylinder structure is studied using the finite difference time domain (FDTD) method, and the effect of disorder of cylinder size and displacement of cylinder sites on the width, site and anisotropy of photonic band gap is numerically investigated. When the disorder of cylinder size and displacement of cylinder sites increase, the central frequency of the photonic band gap has a redshift, and the relative band gap width decreases. The band gaps are much more sensitive to disorder of cylinder size than displacement of cylinder sites. When the disorder of cylinder size is half the cylinder radius, the band gap disappears completely, but the band gap only changes 1% for the same size of displacement of cylinder site. The isotropy of band gap is maintained in a large range of structure disorder.
参考文献

[1] Lu Xiadong, Han Peide, Quan Yujun et al.. Influences of wave vector direction on energy bands and applications of two-dimensional photonic crystals [J]. Chinese J. Lasers, 2006, 33(6):770~774
陆晓东,韩培德,全宇军 等. 波矢方向对二维光子晶体能带及应用的影响[J]. 中国激光, 2006, 33(6):770~774

[2] An He′nan, Ouyang Zhengbiao, Xu Guiwen et al.. The influences of the structure parameters of a two-dimensional square photonic crystal on its photonic bandgap properties [J]. Acta Optica Sinica, 2004, 24(6):842~846
安鹤男,欧阳征标,许桂雯 等. 二维光子晶体结构参量对光子禁带特性的影响[J]. 光学学报, 2004, 24(6):842~846

[3] . . Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasiperiodic photonic crystals[J]. Phys. Rev. B, 2002, 66(21): 214205-1.

[4] . Romero-Vivas, D. N. Chigrin, A. V. Lavrinenko et al.. Resonant add-drop filter based on a photonic quasicrystal[J]. Opt. Express, 2005, 13(3): 826-835.

[5] . T. Roper, D. M. Beggs, M. A. Kaliteevski et al.. Properties of two-dimensional photonic crystals with octagonal quasicrystalline unit cells[J]. J. Mod. Opt., 2006, 53(3): 407-416.

[6] . A. Kaliteevski, S. Brand, R. A. Abram et al.. Two-dimensional penrose-tiled photonic quasicrystals; diffraction of light and fractal density of modes[J]. J. Mod. Opt., 2000, 47(11): 1771-1778.

[7] . E. Zoorob, M. D. B. Charlton, G. J. Parker et al.. Complete photonic bandgaps in 12-fold symmetric quasicrystals[J]. Nature, 2000, 404(6779): 740-743.

[8] . T. Chan. Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals[J]. Phys. Rev. B, 2001, 63(8): 081105-1.

[9] . Gauthier, Khaled Mnaymneh. Photonic band gap properties of 12-fold quasicrystal determined through FDTD analysis[J]. Opt. Express, 2005, 13(6): 1985-1998.

[10] . . Photonic bandgap properties of 8-fold symmetric photonic quasicrystals[J]. Opt. Commun., 2006, 269(2): 385-388.

[11] Zhu Zhihong, Ye Wimin, Ji Jiarong et al.. The transmission properties of photonic crystals without strict periodicity [J]. Acta Optica Sinica, 2004, 24(6):847~850
朱志宏,叶卫民,季家镕 等. 光子晶体的非严格周期性对其传输特性的影响[J]. 光学学报, 2004, 24(6):847~850

[12] . Rockstuhl, F. Lederer. The effect of disorder on the local density of states in two-dimensional quasi-periodic photonic crystals[J]. New J. Phys., 2006, 8: 1-11.

[13] . . Negative refraction and imaging using 12-fold-symmetry quasicrystals[J]. Phys. Rev. Lett., 2005, 94(24): 247402-1.

[14] Robert C. Gauthier, Khaled Mnaymneh. Towards physical implementation of an optical add-drop multiplexer (OADM) based upon properties of 12-fold photonic quasicrystals [C]. SPIE, 2005, 5970:59700Q-1~59700Q-10

[15] . Lavrinenko, P. I. Borel, L. H. Frandsen et al.. Comprehensive FDTD modelling of photonic crystal waveguide components[J]. Opt. Express, 2004, 12(2): 234-248.

殷建玲, 黄旭光, 刘颂豪. 结构无序对8重准晶光子晶体带隙特性的影响[J]. 中国激光, 2007, 34(8): 1077. 殷建玲, 黄旭光, 刘颂豪. Effect of Structure Disorder on Band Gap of Eight-Fold Photonic Quasicrystals[J]. Chinese Journal of Lasers, 2007, 34(8): 1077.

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