On the Electromagnetic Fields in Planar Layered Media Comprising Anisotropic Conductive Sheets at the Interfaces
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The recent revolution in two-dimensional materials, such as graphene mono-layers, has attracted many researchers to investigate their properties and potential applications in different fields. The 2D materials are usually implemented as flat surfaces of atomic thickness embedded transversely in layered structures. The EM properties of 2D materials are described by surface conductivity that can be anisotropic in general. In this work, we demonstrate a general framework to study the EM fields in planar layered media in the presence of anisotropic conductive sheets arbitrarily placed at the interfaces. The EM problem of planar layered media has been successfully modeled by a transmission line analogy in the past. The introduction of anisotropic surface conductive sheets results in a coupled transmission lines model representing TE and TM fields decompositions. A numerically stable novel formulation is developed to solve the new problem, and applied to various EM aspects of layered structures such as fields evaluation and modal analysis. The elegant methods developed for evaluating EM fields in layered media, using the transmission line model, will be upgraded after modifying the dyadic Green’s functions in order to include the effect of anisotropic surface conductivity tensor. The study of EM modes supported by planar layered structures is of high demand in many applications from design to analysis. A reliable and robust approach for finding the EM modes in this environment is developed with new proposed dispersion relations. The Cauchy integration method is accompanied with efficient treatments to alleviate the mathematical challenges in applying this method in this problem. The coupling between TE and TM modes, resulting from the fully populated surface conductivity tensor, is handled by the new transmission line model formulation developed in this work.
SubjectAnisotropic Conductive Sheets
Dyadic Green's Functions
Planar Layered Media
Mustafa, Mazin Mohamed Musa (2019). On the Electromagnetic Fields in Planar Layered Media Comprising Anisotropic Conductive Sheets at the Interfaces. Doctoral dissertation, Texas A&M University. Available electronically from