一维函数光子晶体的光透射特性研究  

Study on photon transmission characteristics of one-dimensional functional photonic crystals

作　　者：吴向尧[1] 杨涪铨 刘晗[1] 潘庆 任明丽 刘掌辉 韩梦 郭义庆[2] WU Xiang-yao;YANG Fu-quan;LIU Han;Pan Qing;REN Ming-Li;LIU Zhang-hui;HAN Meng;GUO Yi-qing(College of Physics,Jilin Normal University,Siping 136000,China;Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100069,China)

机构地区：[1]吉林师范大学物理学院,吉林四平136000 [2]中国科学院高能物理研究所,北京100069

出　　处：《吉林师范大学学报（自然科学版）》2021年第2期75-82,共8页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(61275047);吉林师范大学博士科研启动项目(吉师博2017005);吉林师范大学研究生创新项目(研创新201937)。

摘　　要：提出了一种阶梯型一维函数光子晶体,即介质折射率不是常数,而是呈阶梯型变化.由经典电磁场理论,即电场和磁场在介质分界面连续的性质,并结合费马原理,给出了光在一维函数光子晶体中的传播方程,再经过详细理论推导,给出了一维函数光子晶体的传输矩阵、色散关系、透射率及电场分布的解析表达式.在此基础上,研究了不同入射角和不同介质厚度对色散关系的影响,同时比较了阶梯型一维函数光子晶体与常规一维光子晶体的透射率,进一步研究了有缺陷和无缺陷的阶梯型函数光子晶体的电场分布.所得结论将为光学器件的设计提供新的理论依据.A step-type photonic crystal with one-dimensional function was proposed,which meant the refractive index of the medium was not a constant but had a step-type change.Based on the classical electromagnetic field theory,namely the continuous properties of the electric field and the magnetic field at the medium interface,and combinded with the Fermat principle,the propagation equation of photon in one-dimensional functional photonic crystal was given.After detailed theoretical derivation,the analytical expressions of the transmission matrx,dispersion relation,transmittance and the electric field distribution of one-dimensional functional photonic crystal were given.On this basis,the influence of different incident angles and different medium thickness on the dispersion relation were studied.Meanwhile,the transmittance of the step-type one-dimensional functional photonic crystal was compared with the conventional one-dimensional photonic crystals.The electric field distribution of the step-type functional photonic crystals with and without defects were further studied.The results will provide a new theoretical basis for the design of optical devices.

关 键 词：光子晶体 折射率 电场分布 

分 类 号：O436[机械工程—光学工程]