The implementation of perfectly matched layers for the E-H time-domain finite-element method

Abstract

This paper focuses on the three-dimensional perfectly matched lays (PML) implemented in the E-H time-domain finite-element (TDFEM) method for the open-region problems. How to set the PML conductivity parameter, which is closely related to the performance of the PML, is discussed. In the conventional finite-difference time-domain (FDTD) method, the optimal performance of PML could be obtained by making conductivity to be position dependent. While in E-H TDFEM, better performance is obtained while constant conductivity is used. Meanwhile, the first-order absorbing boundary condition (ABC) is combined with PML in this paper to improve the performance of PML. Compared with the PML terminated with perfect electric wall (PEC), the number of unknowns in E-H TDFEM could be reduced with the PML backed by ABC while maintaining the same absorbing performance.