波动方程FDTD算法的PML吸收边界条件的实现与验证

Implementation and Validation of the PML Absorbing Boundary Condition for Wave Equation FDTD Method

实现了波动方程FDTD算法的PML吸收边界条件 (WE PML) ,并进行了数值验证。从结果可以看出 ,WE PML的性能与Berenger PML非常接近 ,优于Mur二阶近似吸收边界条件。同时 ,对PML媒质参数进行了优化 ,结果表明 :WE PML的性能主要是由PML的层数、垂直入射时的理论反射系数决定的 ,WE

The perfectly matched layer absorbing boundary condition for the wave equation FDTD method (WE PML) is implemented and validated. The results show this method can attain the same performance as Berenger-PML using the same PML parameters and is much better than Mur′ 2nd approximation absorbing boundary condition. In addition, the WE PML parameters are optimized. It is demonstrated that the performance of WE PML mainly depends on the thickness of the PML medium and the theoretical reflection factor at normal incidence. The optimized parameters of WE PML are in agreement with Gedney's experience values.