含石墨烯分界面有耗分层介质的传播矩阵

Propagation matrix for lossy stratified medium containing graphene sheet

给出一种适用于含导电界面的有耗分层介质的传播矩阵方法.利用相位匹配原理给出斜入射时有耗介质波矢量的实部和虚部,二者方向不同使得在介质中传播非均匀平面波.根据边界条件,推导了跨越石墨烯界面的传播矩阵,以及"无限薄"石墨烯层的反透射系数解析式.最终将传播矩阵方法推广应用于含石墨烯界面的有耗分层介质情形,可用于快速解析分析分层介质与导电界面复合结构的反透射和电波传播特性.

In this paper,a propagation matrix method for lossy layered medium with conductive interfaces is presented.Firstly,on the basis of phase matching principle,an approach to calculating the real and imaginary part of wave vector in a lossy layered medium is given for the case of oblique incident plane electromagnetic wave.Since the direction of real and imaginary part of wave vector are different,the plane wave propagating in lossy dielectric layers is inhomogeneous,which extends the traditional propagation matrix method and makes it suitable for the complex lossy medium.Then,the propagation matrix across graphene interface is deduced by using the electromagnetic field boundary conditions,and the analytical expression of the reflection and transmission coefficient for"infinite thin"graphene layer are given.Finally,the propagation matrix of lossy layered medium with conductive interface is obtained by embedding graphene interface into the layered medium,which can be used for fast analyzing the reflection,transmission and propagation of plane wave in composite structure of layered medium and conductive interface.The validity of the proposed method is demonstrated by calculating the single-layered shielding effectiveness of grapheme.The effects of graphene coating on the reflection,transmission and absorption of plane wave in half-space medium and one-dimensional photonic crystal are also investigated.The results show that the graphene layer can enhance surface reflection and optical absorption.