一维光子晶体的量子透射率  

The quantum transmissivity of one-dimensional photonic crystals

作　　者：吴向尧[1] 刘晗[1] 杨福铨 潘庆 任明丽 韩梦 刘掌辉 郭义庆[2] WU Xiang-Yao;LIU Han;YANG Fu-Quan;PAN Qing;REN Ming-Li;HAN Meng;LIU Zhang-hui;GUO Yi-Qing(College of Physics,Jilin Normal University,Siping 136000,China;Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,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,北京100049

出　　处：《吉林师范大学学报（自然科学版）》2021年第1期67-75,共9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(2017005);吉林师范大学研究生创新项目(研创新201937)。

摘　　要：在光的量子波动方程的基础上提出了研究一维光子晶体的量子理论方法,通过在两介质分界面上波函数及其波函数导数连续,即可得到一维光子晶体的量子变换矩阵、量子透射率和量子反射率,分别计算了无缺陷层介质和有缺陷层介质时的量子透射率和量子反射率.把量子理论方法与经典电磁理论方法计算结果进行了比较,发现两者的计算结果是一致的.这说明该量子理论方法也是研究光子晶体的正确方法,该方法还可以进一步研究二维和三维光子晶体的透射特性以及光子晶体的量子Zak相、量子拓扑特性,这些特性包括量子陈数、边缘态和光子的量子霍尔效应等.On the basis of the quantum wave equation of light,a quantum theoretical method for studying one-dimensional photonic crystals was proposed.The quantum transformation matrix,the quantum transmissivity and the quantum reflectivity of the one-dimensional photonic crystal could be obtained.The quantum transmissivity and the quantum reflectivity of the defect-free layer and the defect-layer were calculated,respectively.The results of the quantum theory method were compared with those of the classical method,and it was found that their results were consistent.It showed that the quantum theory method was also the correct method for studying photonic crystals,and the method could further study the transmission properties of two-dimensional and three-dimensional photonic crystals,as well as the quantum Zak phase and quantum topological properties of photonic crystals,including the quantum Chen,edge states and photon quantum hall effect.

关 键 词：光子晶体 量子透射率 量子反射率 

分 类 号：O436[机械工程—光学工程]