Application Of Generalized Perfectly Matched Layer In Two-dimensional Electromagnetic Scattering Problems

Electromagnetic scattering numerical analysis generally contains differential equation method and integral equation method. Differential equation method is divided into frequency domain differential equation and time domain differential equation. Frequency domain differential method mainly includes the finite element method (FEM) and frequency domain finite difference method (FDFD). Time domain differential method mainly includes the finite difference time domain method (FDTD). This paper used frequency domain finite difference method in conjunction with perfectly matched layer absorbing boundary conditions to solve electromagnetic scattering problems.Firstly, the basic principles, difference format and the discretization of finite difference method is introduced, then basic process for analyzing electromagnetic scattering problems using finite difference methods and the course for calculating differential equations using SOR and conjugate gradient method are introduced and then several numerical examples are calculated.One key point of analyzing electromagnetic scattering problems using finite difference method is absorbing boundary condition. Secondly, the basic principles and formulas of generalized perfectly matched layer (GPML) absorbing boundary conditions are introduced, and the capability of generalized perfectly matched layer is analyzed.Finally, applying generalized perfectly matched layer in the metal cylinder and metal square columns is studied, which proved that the generalized perfectly matched layer absorbing boundary can absorb electromagnetic waves of any polarization and any frequency and incident angle Unconditionally In this thesis, the optimization parameters of generalized perfectly matched layer in rectangular coordinates and cylindrical coordinates are given, GPML absorbing boundary can be close to the truncated differential scattering grid in order to obtain accurate numerical results.The parameters of complex space variables are analyzed detailedly and the characteristics are obtained.