Fast Energy Detection for Ultra-Multilayered Anisotropic Media Based on Transfer Matrix Method in Terahertz Region

In this article, the ultra-efficient transfer matrix method (U-TMM) is developed to detecting the propagation coefficients 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 (EM) field can be uniquely represented by the fixed formula. The core thought with TMM is to maintain tangential continuity of EM 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 (C-TMM). Finally, to verify the energy change process in UMAM, we generate color images of the propagation coefficients by U-TMM in TE/TM mode, which can be applied to the analysis for materials and devices in the terahertz region.