平面波在异向介质界面反射与折射条件研究  

Study on the reflection and refraction conditions of plane waves at the interface of anisotropic media

作　　者：雒向东 余亮[1] 李永宁 LUO Xiangdong;YU Liang;LI Yongning(School of Computer,Guangdong University of Science and Technology,Dongguan Guangdong 523083)

机构地区：[1]广东科技学院计算机学院,广东东莞523083

出　　处：《宁夏师范学院学报》2023年第7期17-23,共7页Journal of Ningxia Normal University

基　　金：广东省教育厅青年创新人才类项目(2019KQNCX227);东莞市科技特派员项目(20201800500792).

摘　　要：采用数值计算方法研究了平面波在异向介质界面的反射与折射条件.研究发现,当系数α>1时,TE与TM波反射与透射系数相等,且对同一入射角随着α的增大,TE和TM波反射系数随之增大,而透射系数随之减小;当系数α=1时,波在界面处发生全折射;当系数α<1时,以大于临界角入射时,TE和TM波均发生全反射,复反射系数幅值为1;当μ2=-αμ1时,只有在α=1时,按arctan(√-ε2/ε1)角入射时电场平行分量会全透射;当ε2=-αε1时,只有在α=1时,按arctan(√-μ2/μ1)角入射时电场垂直分量可全透射.研究结论对分析异向介质电磁传输特性及人工合成新型异向介质都具有重要指导意义.The reflection and refraction conditions of plane waves at the interface of anisotropic media were studied by means of numerical methods.It is found that whenα>1,the reflection and transmission coefficients of TE and TM waves are equal,and the reflection coefficients of TE and TM waves increase and the transmission coefficients decrease at the same incident angle with increases;Whenα=1,the wave is fully refracted at the interface;Whenα<1 and the incident angle is greater than the critical angle,both TE and TM waves undergo total reflection and the modulus of complex reflection coefficient is 1;Whenμ2=-αμ1 and onlyα=1,the electric field component which parallels to the incident surface transmits completely when the incident angle is arctan(√-ε2/ε1);Whenε2=-αε1 and onlyα=1,the electric field component which perpendiculars to the incident surface transmits completely when the incident angle is arctan(√-μ2/μ1).The results have important guiding significance for analyzing electromagnetic transmission characteristics of DNG medium and synthesizing new metamaterials.

关 键 词：DNG介质 负折射 反射系数 透射系数 

分 类 号：O415[理学—理论物理]