In this article,the ultra-efficient transfer matrix method(U-TMM)is developed to detecting the propagation coeffi-cients of ultra-multilayered anisotropic media(UMAM)in the terahertz region.Starting from the curl Maxw...In this article,the ultra-efficient transfer matrix method(U-TMM)is developed to detecting the propagation coeffi-cients of ultra-multilayered anisotropic media(UMAM)in the terahertz region.Starting from the curl Maxwell’s equations and combined with the constitutive relation,the governing equation can be described in matrix form from which the four eigenvalues are derived,so that each component of the electromagnetic field can be uniquely represented by the fixed formula.The core thought with U-TMM is to maintain tangential continuity of electromagnetic fields between different media,thereby constructing transfer matrix between various regions and achieving the calculation of propagation coefficients in UMAM.After successfully validating U-TMM through two numerical examples,we find that U-TMM compensates for the shortcomings of COMSOL software in dealing with the UMAM problems,and in addition,the computational efficiency is significantly improved compared to the conventional transfer matrix method.Finally,to verify the energy change process in UMAM,we generate color images of the propagation coeffi-cients by U-TMM in transverse electric/transverse magnetic mode,which can be applied to the analysis for materials and devices in the terahertz region.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.62101333)the 2024 Anhui Province University Science and Engineering Teachers’Internship Program in Enterprises(Grant No.2024jsq ygz02).
文摘In this article,the ultra-efficient transfer matrix method(U-TMM)is developed to detecting the propagation coeffi-cients of ultra-multilayered anisotropic media(UMAM)in the terahertz region.Starting from the curl Maxwell’s equations and combined with the constitutive relation,the governing equation can be described in matrix form from which the four eigenvalues are derived,so that each component of the electromagnetic field can be uniquely represented by the fixed formula.The core thought with U-TMM is to maintain tangential continuity of electromagnetic fields between different media,thereby constructing transfer matrix between various regions and achieving the calculation of propagation coefficients in UMAM.After successfully validating U-TMM through two numerical examples,we find that U-TMM compensates for the shortcomings of COMSOL software in dealing with the UMAM problems,and in addition,the computational efficiency is significantly improved compared to the conventional transfer matrix method.Finally,to verify the energy change process in UMAM,we generate color images of the propagation coeffi-cients by U-TMM in transverse electric/transverse magnetic mode,which can be applied to the analysis for materials and devices in the terahertz region.
