Propagation Characteristics Of Electromagnetic Wave In Biaxial Anisotropic Medium

Since metamaterial can be made to have some special properties which cannot be found in natural materials,its application has developed rapidly as it gradually moves from the laboratory into daily lives.This thesis focuses on the characteristics of electromagnetic waves propagation and unusual properties in biaxial anisotropic medium.Under such circumstances,this thesis designs a wave splitter based on biaxial anisotropic medium according to the theoretical analysis.Firstly,basic characteristics of electromagnetic waves propagation in biaxial anisotropic medium have been discussed.According to the Maxwell Equations,the dispersion relation of biaxial anisotropic medium has been derived in kDB coordinate system.It is found that TE waves and TM waves are two characteristic waves of biaxial anisotropic medium with different dispersion relations as they propagate in different directions and phase velocities in biaxial anisotropic medium.Secondly,characteristics of electromagnetic waves propagation on the surface of biaxial anisotropic medium have been discussed.The reflection coefficient and transmission coefficient of TE waves and TM waves are derived respectively.Furthermore,the conditions of total reflection both for TE waves and TM waves are discussed respectively.The results are verified by simulation.Thirdly,detailed study of Goos-Hanchen effect and Imbert-Fedorov effect are discussed based on the total reflection.The expression of Goos-Hanchen shift and Imbert-Fedorov shift are derived respectively.Also,the factors affecting the Goos-Hanchen shift and Imbert-Fedorov shift are investigated such as incident angle,chirality and electromagnetic wave direction.Fourthly,the condition of total transmission both for TE waves and TM waves are discussed and verified by simulation respectively.Moreover,it is found that electromagnetic waves can full-pass the biaxial anisotropic medium with any incident angles when the elements of permittivity and permeability tensors are configured with some special value.Finally,basic characteristics of electromagnetic waves propagation in biaxial anisotropic medium slab have been discussed.According to the Maxwell Equations and boundary conditions,the reflection coefficient and transmission coefficient at both boundaries of biaxial anisotropic medium slab are derived respectively.Then,a study on guidance characteristics of TE waves and TM waves are presented respectively.Furthermore,a TE/TM polarization wave splitter based on biaxial anisotropic slab is designed according to the total reflection and total transmission of TE/TM waves incident from isotropic medium into biaxial anisotropic medium.The structure of this wave splitter is simple and has little limitation on constitutive parameters,incident angle and chirality.Meanwhile,such wave splitters can separate TE waves and TM waves as long as constitutive parameters are configured properly.Besides,constitutive parameters can be chosen in a wide range.The results of simulation verified the theoretical derivations.