二维函数光子晶体的点缺陷及本征场分布
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摘要
用COMSOL Multiphysics仿真软件研究含点缺陷二维函数光子晶体的带隙结构、缺陷模式及缺陷模式的本征场分布.介质柱介电常数的线性函数形式:ε(r)=k·r+b,由电光效应和Kerr效应,通过对介质柱施加外电场和光场改变其折射率.计算结果表明,改变点缺陷介质柱介电常数的参数和点缺陷个数,均可调节二维函数光子晶体的带隙结构和位置,以及缺陷模式及缺陷模式的本征场分布.
The band gap structure,defect mode and intrinsic field distribution of the two-dimensional function photonic crystals with point defects were studied by COMSOL Multiphysics simulation software.The linear function form of dielectric constant of dielectric column wasε(r)=k·r+b,according to the photoelectric effect and the Kerr effect,and the refractive index of the dielectric column was changed by applying external electric field and light field.The calculation results show that the band gap structure,the position of band gap,and the intrinsic field distribution of defect mode can be adjustable by changing the parameters and the number of point defects.
The band gap structure,defect mode and intrinsic field distribution of the two-dimensional function photonic crystals with point defects were studied by COMSOL Multiphysics simulation software.The linear function form of dielectric constant of dielectric column wasε(r)=k·r+b,according to the photoelectric effect and the Kerr effect,and the refractive index of the dielectric column was changed by applying external electric field and light field.The calculation results show that the band gap structure,the position of band gap,and the intrinsic field distribution of defect mode can be adjustable by changing the parameters and the number of point defects.
引文
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[2]JOHN S.Strong Localization of Photons in Certain Disordered Superlattices[J].Phys Rev Lett,1987,58(23):2468-2489.
[3]ANDERSON C M,GIAPIS K P.Larger Two-Dimensional Photonic Band Gaps[J].Phys Rev Lett,1996,77(14):2949-2952.
[4]WANG Xuehua,GU Benyuan,LI Zhiyuan,et al.Large Absolute Photonic Band Gaps Created by Rotating Noncircular Rods in Two-Dimensional Lattices[J].Phys Rev B,1999,60(16):11417-11421.
[5]BENISTYH H,WEISBUCH C,OLIVIER S,et al.Low-Loss Photonic-Crystal and Monolithic InP Integration:Bands,Bends,Lasers,Filters[C]//Proceedings of SPIE.[S.l.]:The International Society for Optical Engineering,2004:119-128.
[6]CHEN Yihang,WANG Xinggang,YONG Zehui,et al.Experimental Investigation of Photonic Band Gap in One-Dimensional Photonic Crystals with Metamaterials[J].Phys Lett A,2012,376(16):1396-1400.
[7]GUO Shangping,WU Feng,ALBIN S,et al.Photonic Band Gap Analysis Using Finite-Difference FrequencyDomain Method[J].Opt Express,2004,12(8):1741-1746.
[8]COLMAN P,COMBRIE S,LEHOUCQ G,et al.Control of Dispersion in Photonic Crystal Waveguides Using Group Symmetry Theory[J].Opt Express,2012,20(12):13108-13114.
[9]SHIVESHWARI L,AWASTHI S K.Transmission Properties of One-Dimensional Ternary Plasma Photonic Crystals[J/OL].Physics of Plasmas,2015-09-30.doi:10.1063/1.4931926.
[10]LUND-HANSEN T,STOBBE S,JULSGAARD B,et al.Experimental Realization of Highly Efficient Broadband Coupling of Single Quantum Dots to a Photonic Crystal Waveguide[J/OL].Phys Rev Lett,2008-09-12.doi:10.1103/PhysRevLett.101.113903.
[11]LI Zhangjian,ZHANG Yao,LI Baojun.Terahertz Photonic Crystal Switch in Silicon Based on Self-imaging Principle[J].Opt Express,2006,14(9):3887-3892.
[12]刘晓静,梁禺,刘继平,等.新型二维函数光子晶体的透射特性[J].吉林大学学报(理学版),2017,55(4):985-989.(LIU Xiaojing,LIANG Yu,LIU Jiping,et al.Transmission Properties of New Type of Two-Dimensional Function Photonic Crystal[J].Journal of Jilin University(Science Edition),2017,55(4):985-989.)
[13]HO K M,CHAN C T,SOUKOULIS C M.Existence of a Photonic Band Gap in Periodic Dielectric Structures[J].Phys Rev Lett,1991,65(25):3152-3155.
[14]JIANG Yuchi,LIU Shaobin,ZHANG Haifeng,et al.Realization of All Optical Half-Adder Based on Self-collimated Beams by Two-Dimensional Photonic Crystals[J].Optics Communications,2015,348:90-94.
[15]SABA M,THIEL M,TURNER M D,et al.Circular Dichroism in Biological Photonic Crystals and Cubic Chiral Nets[J/OL].Phys Rev Lett,2011-03-11.doi:10.1103/PhysRevLett.106.103902.
[16]肖利,雷天宇,梁禺,等.二维函数光子晶体[J/OL].物理学报,2016-07-25.http://dx.doi.org/10.7498/aps.65.134207.(XIAO Li,LEI Tianyu,LIANG Yu,et al.Two-Dimensional Function Photonic Crystal[J/OL].Acta Phys Sin,2016-07-25.http://dx.doi.org/10.7498/aps.65.134207.)