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.
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.
作者
王飞
魏兵
Wang Fei;Wei Bing(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)
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2021年第1期274-285,共12页
Acta Physica Sinica
基金
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.
关键词
各向异性石墨烯
电、磁偏置
分层介质
传播矩阵
anisotropic graphene
electrostatically and magnetostatically bias
stratified media
propagation matrix
作者简介
通信作者:王飞.E-mail:wfei79@163.com。
