应用分裂平面波时域有限差分(Splitting Plane wave Finite Difference Time Domain,SP-FDTD)方法到三维时域有限差分(Finite Difference Time Domain,DFDTD)中引入高效平面波源.该方法基于分裂场思想,在一维FDTD上构造了新的迭代公式,使得一维FDTD和三维FDTD离散网格之间的数值相速度一致,消除了由于相速不一致而在总场区引起的泄漏误差以及插值带来的数值误差.通过数值算例验证了SP-FDTD方法对不同波源在任意角度(斜入射)下的平面波入射都是有效的,且泄露误差均在-300dB水平.
Abstract
The method of SP-FDTD(Splitting Plane wave Finite Difference Time Domain)is applied to 3D FDTD(Finite Difference Time Domain)method for plane wave incidence.Based on the split-field formulation
the method has the new iterative equations and can eliminate the error of interpolation and discretized phase velocity mismatch between 1D FDTD and 3D FDTD grid.Numerical results show that the present method is valid for different type of wave sources