Effects of Rotation Angle on the Band-gap Characteristics of Photonic Crystal

Abstract

Abstract: The plane wave expansion method is used to explore the photonic band-gap characteristics of two kinds of photonic crystal structure under rotation operation. First, constructed two different kinds of photonic crystal structure and compared the difference of the band-gap characteristics of these two kinds of structure. Discussed the effect of the rotation operation on the band gap of two kinds of structure in TE mode respectively, found that the distribution of medium column in x-z plane together influence TE mode band gaps. According to the result of calculation, analyze the reason of the influence on the band gap characteristics, and give the angle range of the optimum band gap. It has better theoretical guiding significance on producing photonic crystal of good performance.

Key words: optoelectronics, photonic crystal, plane wave expansion method, angle of rotation

CLC Number:

O431.2

Liu Wen, Sun Xiao-hong, Liu Wei. Effects of Rotation Angle on the Band-gap Characteristics of Photonic Crystal[J]. J4, 2014, 31(3): 329-334.

References

[1] John S. Strong localization of photons in certain disordered dielectric super lattice
[J].Phys Rev Lett.,1987, 58(23):2486-2489.
[2] Yin J L, Huang X G. Properties and applications of photonic quasicrystal
[J]. Laser and Optoelectronics Progress, 2010,47,011601. 殷建玲, 黄旭光等. 准晶光子晶体特性及应用
[J]. 激光与光电子学进展,2010, 47,011601.
[3] Andreani L C, Agio M. Photonic bands and gap maps in a photonic crystal slab
[J]. IEEE Journal of Quantum Electronics,2002,38(7).
[4] Sajoda K. Optical Properties of Photonic Crystals
[M]. Berlin: Springer-Verlag Berlin and Heidelberg Gmbh & Co. K,2001.
[5] Ho K M, Chan C T, Soukoulis C M. Existence of a Photonic Gap in Periodic Dielectric Structures
[J]. Phys Rev Lett.,1990,65(25):3152.
[6] XU Lianqiang, SHI Zonghua, YAN Kezhu. Study of rules about the structure parameters affecting photonic band gap of two-dimensional tri-lattices photonic crystals
[J]. Laser Journal ,2007,28(3). 许连强, 石宗华, 闫珂柱. 结构参量对二维三角晶格光子晶体带隙影响规律的研究
[J]. 激光杂志,2007年第28卷第3期.
[7] ZHANG Wenfu, WANG Peng, FANG Qiang, CHENG Yihua. Calculating the photonic band gap structure of two – dimensional photonic crystal using the plane wave expansion method
[J]; Journal of Xi’an University of Post and Telecommunications, May,2007,12,(3). 张文富, 王鹏, 方强, 程益华. 用平面波展开方法计算二维光子晶体带隙结构
[J]. 西安邮电学院学报,2007年5月第12卷第3期.
[8] Bierwirth K, Schulz N, Amdt F. Finite-Difference Analysis of Rectangular Dielectric Waveguide Structures
[J]. IEEE Trans. Microwave Theory Technol,1986,34(11):1104.
[9] Pendry J B, Mackinnon A. Calculation of Photon Dispersion Relations
[J]. Phys Rev Lett.,1992,69(19):2772.
[10] PU Rongqiang, YU Hongying, SHEN Linfang. Band gaps in two-dimensional photonic crystals with composite square-lattices of dielectric columns
[J]. Chinese Journal of Quantum Electronics, Nov,2012,29, 6. 濮荣强, 余红英, 沈林放. 二维介质柱正方复合周期结构光子晶体的禁带研究
[J]. 量子电子学报,第29卷第6期2012年11月.
[11] TAN Renbing, ZHANG Jin, ZHANG Xi, GUO Junmei. Band Gap Structures of 2D Triangular Lattice Photonic Crystals
[J]. Chinese Journal of Spectroscopy Laboratory, November,2006,23(6). 谭仁兵, 张晋, 张茜, 郭俊梅. 二维三角格子光子晶体的带隙结构
[J]. 光谱实验室,第23卷,第6期,2006年11月.
[12] Zhao Mingming, Lü Yanwu, Yu Jiaxin, et al. Effect of rotation on photonic band gap of two-dimensional square lattice photonic crystal with hollow rod
[J]. Acta Physica Sinica,February,2008,Vol.57,No.2. 赵明明，吕燕伍，余家新等，旋转对二维正方晶格介质柱内空结构光子晶体禁带的影响。物理学报,第57卷第2期2008年2月.

[1]	QI Zhiming , LIANG Wenyao . Influence of beam polarizations on holographic fabrication of compound photonic crystals [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 447-457.
[2]	LYU Haiyan, , HONG Zhanyong, DU Xianchang, . Research on refrigeration system of single−photon detector [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 400-406.
[3]	ZHANG Ruoya , ZHU Qiaofen , ZHANG Yan . Research progress of tunable terahertz metamaterial absorbers [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 301-318.
[4]	XU Jianwei , OUYANG Shoujian , DUAN Shouxin , ZOU Liner , , DENG Xiaohua , SHEN Yun, . Terahertz planar toroidal dipole metamaterial sensor for detecting gutter oil [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 333-339.
[5]	CHEN Qiming , FU Renxuan , XU Yongjun , LIU Yibiao , ZHOU Jinyun , SONG Xianwen. Fabrication of SU-8 microstructure and PDMS concentration gradient generator by moving focal plane front and back exposure [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 415-422.
[6]	PAN Xiaokai , JIANG Mengjie , , WANG Dong , , LYU Xuyang , , LAN Shiqi , , WEI Yingdong , , HE Yuan , , GUO Shuguang , , CHEN Pingping , WANG Lin ∗ , CHEN Xiaoshuang , LU Wei . Application and frontier trend of infrared-terahertz photoelectric detector [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 217-237.
[7]	DONG Qinlu, HAN Yiping ∗ , ZHANG Qifan. Transmission characteristics of terahertz waves in a hypersonic target plasma sheath [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 258-266.
[8]	YAO Bozhi , SHI Lili , WU Jingbo , , CHEN Jian , ∗ , WU Peiheng , . Readout of high-sensitive terahertz detector arrays at low temperature [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 267-274.
[9]	WANG Chenyu ♯ , LIAO Yu ♯ , MEI Zhijie, LIU Xudong, SUN Yiwen ∗. A terahertz modulator based on GaAs surface plasma grating array structure [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 275-281.
[10]	RUAN Zhiqiang, ZHANG Lei, ZHAO Xinyu, JIANG Xingfang ∗. Analysis of negative dispersion characteristics of a novel circular doped photonic crystal ﬁber [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 133-138.
[11]	LIU Huabei , ZHOU Yang , SHAO Jie , GUAN Zuguang , CHEN Daru ∗. Research progress in photonic crystal ﬁber hydraulic pressure sensing technology [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 22-31.
[12]	WU Renglai∗, YU Yabin, XIAO Shifa, QUAN Jun. Correction of plasmon dispersion relation due to thickness of monolayer-atom system [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 541-548.
[13]	WANG Yang, LI Xin∗, HUANG Xionghao, LIU Enchao, Zhang Yanna. Design of wavelength scanning for solar spectral irradiance instrument [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 519-530.
[14]	MENG Weili∗, WANG Qingqing, SHAO Jing, CHENG Hongwei, GONG Hao. Device performance dependence on photoactive composition in graphene-based hybrid solar cells [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 613-619.
[15]	Zhang Li∗, Wang Qi. Fr¨ohlich electron-phonon interaction Hamiltonian in GaN nanowires with triangular cross-section [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 632-643.