两种抛物线方程算法在电磁计算中的比较

Comparisons of two different parabolic equation methods for electromagnetic computation

针对电磁计算问题,引入并分析了抛物线方程的两种基本算法:Crank-Nicolson方法和pad啨方法.一方面,推导了两种方法的差分离散表达式;另一方面,给出了操作抛物线方程算法所需的完全匹配层和近远场变换技术.数值方法表明,Crank-Nicholson方法适于求解电磁波传播和光滑物体散射问题,而对有棱边目标的散射问题,Pad啨方法则可获得更高的数值精度.

To solve electromagnetic computation problems, the two different parabolic equation （PE） methods were presented involving Crank - Nicolson approach and Padé scheme. On the one hand, we derived the difference expressions for the two methods. One the other hand, the perfectly matched layer （PML） and the near - to - far transformation （NFF） techniques were given for implement the PE methods. Numerical results suggest that the Crank - Nicolson approach is suitable for solving the propagation of electromagnetic wave and the scattering of the objects with smooth boundaries, but the pad scheme can acquire better numerical precision compared with the Crank - Nicolson approach for the objects with non - smooth boundaries.