The Finite-Difference Time-Doman Analysis Of Anisotropic Media

The Finite-Difference Time-Domain (FDTD) method is a direct finite difference solution of Maxwell's curl equations in time-domain, which transforms Maxwell's curl equations into differential forms in the Yee cell as discrete units of electromagnetic field. It had been used widely in various fields of electromagnetic including Antenna of radiation, calculation of scattering and radar cross section, studies on structures of Guided wave and microwave devices. This thesis is mainly based on that for the numerical electromagnetic simulation of structures such as gratings and photonic crystals, the FDTD method can be made more efficient and accurate by taking advantage of periodicity.We start with Maxwell's equations and then introduce the fundamentals of electromagnetic theory and optics. Brief descriptions of the polarization of light and light propagation in anisotropic media follow. Then we introduce several structures of grating; discuss light propagation in periodic structures including phase gratings. We introduce the Yee cell and present a enhanced FDTD algorithm for periodic structures in more general anisotropic media. Validation of the new FDTD method is done by applying it to problems of varying structures and comparing the results to other analytical or numerical solutions.We extend the implementation of the SMF with integration of the metal dispersion considering the CPs model and Hyper Transport in oblique incidence to test the effectiveness of our new FDTD method. After that we present a generalized 3D FDTD method for the modeling of electromagnetic wave interaction with a full anisotropic media. The proposed formulation is applied to a micro-strip patch antenna with anisotropic sub-straits and weakly magnetic ferrite absorbers with punctured holes.In the last chapter, we summarized the results of this thesis and gave some suggestions for further study.