扇面形散射元构建的二维光子晶体慢光模拟研究
Simulation Study on Slow Light of 2-D Photonic Crystals by Sector Scatterers
DOI: 10.12677/APP.2018.88049, PDF,    国家自然科学基金支持
作者: 徐明洁, 谢 群, 付毓卉, 于乐, 万勇*:青岛大学,物理科学学院,山东 青岛;薛子川:青岛索斯兰中学,山东 青岛
关键词: 模拟扇面形散射元光子晶体慢光线缺陷波导Simulation Sector Scatterers Photonic Crystal Slow Light Linear Defect Waveguide
摘要: 本文用扇面形散射元构建空气孔型光子晶体模型,构建线缺陷波导,利用平面波展开法分别模拟其TM模式下的色散曲线,并通过改变散射元参数,求得群折射率、群速度、带宽、归一化延迟带宽积和色散常数,获得群折射率较大且带宽较大的理想模型。针对散射元,整体改变波导结构,分面对面型、背对背型和旋转30˚三种,对其计算结果进行比较分析。
Abstract: In this paper, the air hole photonic crystal model is constructed by sector scatterers, and the linear defect waveguide is constructed. The dispersion curves in TM mode are simulated by using plane wave expansion method, and the group refractive index and group velocity are obtained by changing the parameters of scattering elements. The ideal model with large group refractive index and large bandwidth is obtained by normalized delay bandwidth product and dispersion constant. The waveguide structure is changed as a whole, and the scattering elements are divided into three types: face to face type, back to back type and rotation 30˚. The calculated results are compared and analyzed.
文章引用:徐明洁, 薛子川, 谢群, 付毓卉, 于乐, 万勇. 扇面形散射元构建的二维光子晶体慢光模拟研究[J]. 应用物理, 2018, 8(8): 386-397. https://doi.org/10.12677/APP.2018.88049

参考文献

[1] 李正华, 薛燕陵, 沈廷根. 光子晶体内的慢光及其应用[J]. 激光与红外, 2008, 38(1): 3-6.
[2] 陈培专, 侯国付, 索松, 等. 基于一维光子晶体的新型背反射器及其在非晶硅薄膜太阳电池中的应用[J]. 物理学报, 2014, 63(7): 077301.
[3] 朱志宏, 叶卫民, 袁晓东, 等. 光子晶体波导定向耦合器[J]. 光学学报, 2003, 23(10): 1237-1240.
[4] Yablonovitch, E. (1987) Inhibited Spontaneous Emission in Solid-State Physics and Electronics. Physical Review Letters, 58, 2059-2062. [Google Scholar] [CrossRef
[5] John, S. (1987) Strong Localization of Photons in Certain Disordered Die-lectric Superlattices. Physical Review Letters, 58, 2486-2489. [Google Scholar] [CrossRef
[6] 刘会, 刘丹, 赵恒, 等. 空气环型二维光子晶体完全带隙特性研究[J]. 物理学报, 2013, 62(19): 194208.
[7] 邓开发, 是度芳, 蒋美萍, 等. 光子晶体研究进展[J]. 量子电子学报, 2004, 21(5): 555-564.
[8] 蔡青, 黄昌清, 梁培, 等. 基于平面波展开法的二维光子晶体表面模式研究[J]. 光子学报, 2012, 41(4): 430-435.
[9] 陈海燕, 黄小莉, 刘永智. 平面光波导光场分布的有限时域差分法计算[J]. 光子学报, 2001, 30(2): 214-217.
[10] 张小贝, 黄德修, 洪伟, 等. 传输矩阵法分析微环谐振器阵列传输特性[J]. 光学学报, 2007, 27(9): 1585-1592.
[11] Chassagneux, Y., Colombeli, R., Maineult, W., et al. (2009) Electrically Pumped Photonic Crystal Terahertz Lasers Controlled by Boundary Condition. Nature, 457, 174-178. [Google Scholar] [CrossRef] [PubMed]
[12] 刘建静, 郝伟, 刘锴, 等. 光折变材料的带隙结构研究[J]. 量子光学学报, 2007, 13(1): 47-51.
[13] Liang, Q., Li, D. and Yang, G. (2012) Fabrication of Diamond-Structured Multiceramic Coupling Photonic Crystal and Its Ultra-Wide Bandgap Properties. Microwave and Optical Technology Letters, 54, 2569-2572. [Google Scholar] [CrossRef
[14] Wan, Y., Fu, K., Li, C. and Yun, M. (2013) Improving Slow Light Effect in Photonic Crystal Line Defect Waveguide by Using Eye-Shaped Scatterers. Optics Communications, 286, 192-196. [Google Scholar] [CrossRef
[15] 万勇, 付凯, 云茂金, 郭月, 夏临华. 调整圆弓形散射元参数实现低群速和低色散的慢光效应[J]. 中国激光, 2013, 40(10): 1-7.
[16] 万勇, 韩文娟, 贾明辉, 云茂金, 郭月, 孙蕾. 圆弓形散射元构建的耦合波导的慢光特性研究[J]. 光学学报, 2015, 35(3): 0313001.
[17] Wan, Y., Ge, X., Xu, S., Guo, Y. and Yuan, F. (2017) Ul-tra-Slow Light Effects in Symmetric and Asymmetric Waveguide Structures with Moon-Like Scatters. Frontier of Physics, 12, Article ID: 124204.
[18] Wan, Y., Xu, S., Li, M.-X., Liu, M.-N., Jiang, C.-Y. and Yuan, F. (2018) Slow Light Effect with High Group Index and Wideband by Saddle-Like Mode in PC-CROW. Frontier of Physics, 13, Article ID: 134202.
[19] Wang, D., Zhang, J., Yuan, L., et al. (2011) Slow Light Engineering in Polyatomic Photonic Crystal Waveguides Based on Square Lattice. Optics Com-munications, 284, 5829-5832. [Google Scholar] [CrossRef
[20] 池灏, 蒋铭, 赵焕东, 等. 光子晶体光纤的非线性效应及其应用研究进展[J]. 半导体光电, 2003, 24(5): 297-300.
[21] 吴冰冰, 何晓东, 薛伟, 等. 一位非线性光子晶体全光开关的数值研究[J]. 光子学报, 2009, 38(2): 293-297.
[22] Wan, Y., Ge, S., Guo, Y., et al. (2014) Application of 2D Graded Eye-Shape Scatters for Slow Light Effect in Photonic Crystal Line Defect Waveguide. Optik, 125, 1605-1609. [Google Scholar] [CrossRef
[23] Li, M., Li, L., Zhang, X., et al. (2013) The Slow Light in the Closed-Packed Face-Centered Cubic Photonic Crystal: Characteristics and Application Design. Optical and Quantum Electronics, 45, 1107-1113. [Google Scholar] [CrossRef