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电磁偏置各向异性石墨烯界面的传播矩阵
引用本文:王飞,魏兵.电磁偏置各向异性石墨烯界面的传播矩阵[J].物理学报,2021(1):274-285.
作者姓名:王飞  魏兵
作者单位:西安电子科技大学物理与光电工程学院;西安电子科技大学
基金项目:国家自然科学基金(批准号:61401344,61901324);高等学校学科创新引智计划(批准号:B17035)资助的课题.
摘    要:基于电磁场边界条件和相位匹配,推导出电、磁偏置下呈各向异性的石墨烯导电界面的传播矩阵,并进一步给出各向异性石墨烯界面的反透射系数解析解;该传播矩阵耦合了基本的横电波和横磁波极化,并包括偏置电、磁场的影响.将跨石墨烯界面传播矩阵嵌入各向同性分层介质传播矩阵,获得的新传播矩阵可用于解析分析平面电磁波以任意角度入射含各向异性石墨烯界面层状介质时的传播和反透射特性,并且为分层介质与各向异性导电界面复合结构的相关分析和设计提供了一种非常简单的工具.

关 键 词:各向异性石墨烯  电、磁偏置  分层介质  传播矩阵

Propagation matrix for electromagnetic interaction through electrostatically and magnetostatically biased graphene sheet
Wang Fei,Wei Bing.Propagation matrix for electromagnetic interaction through electrostatically and magnetostatically biased graphene sheet[J].Acta Physica Sinica,2021(1):274-285.
Authors:Wang Fei  Wei Bing
Affiliation:(School of Physics and Optoelectronic Engineering,Xidian University,Xi’an 710071,China;Collaborative Innovation Center of Information Sensing and Understanding,Xidian University,Xi’an 710071,China)
Abstract:The reflection and transmission of plane electromagnetic waves on monolayer graphene are studied theoretically in this paper.From an electromagnetic point of view,monolayer graphene is described as an“infinitely thin”graphene sheet characterized by a surface conductivity,and based on a microscopic quantum dynamical approach,the graphene sheet becomes anisotropic in the presence of both an electrostatic and a magnetic bias.In this work,starting from boundary conditions and phase-matching conditions,the propagation matrix for the analysis of the interaction between an electromagnetic field and thin graphene sheet which is biased electrostatically and magnetostatically,and then characterized by an anisotropic conductivity,is derived.Furthermore,the analytical solutions of co-and cross-polarization reflective and transmittance coefficients through an anisotropic graphene planar surface are obtained from the proposal matrix above,which couples the fundamental transverse electric(TE)polarization and transverse magnetic(TM)polarization and includes the possible effects of electrostatic and/or magnetostatic bias.In conclusion,the cross-polarization reflective coefficient of TE wave and that of TM wave are equal,and their cross-polarization transmittance coefficients have opposite phase.Finally,a new propagation matrix for stratified medium containing anisotropic graphene interfaces is deduced by embedding the matrix across graphene sheet mentioned above into the traditional propagation matrix for isotropic stratified medium.The proposed new matrix can be used to investigate the propagation properties of plane wave in a complex structure of layered medium and anisotropic conductivity interfaces(including graphene sheet)analytically and quickly,and represents a very simple tool for the relevant analysis and design.
Keywords:anisotropic graphene  electrostatically and magnetostatically bias  stratified media  propagation matrix
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