矢量波动方程的直接差分解法

对电磁场波动方程进行了分析,研究了一种基于电场波动方程的时域数值方法———矢量波动方程的直接差分解法,给出了电场和磁场的计算公式。采用线性插值方法获得了导体表面法向电场的计算公式,给出了算法的稳定性条件。与时域有限差分法相比,由于该方法中电场分量的迭代更新无需磁场参与,从而使算法的复杂性大大降低,是一种具有良好应用前景的电磁场时域数值分析方法,最后通过一个数值计算实例证明了该算法的有效性。

Direct difference solution of vector wave equation

Based on the wave equations of electromagnetic field, a new time-domain numerical method - direct difference solution(DDS) of vector wave equation is researched. Calculating formulas of electric field and magnetic field are also given. Using linear interpolation method, computing formula of vertical component of electric field on the metal surface is obtained. The stability conditions of the algorithm are brought up. Compared to FDTD method, the new method given is simple. This new method is a useful time-domain full-wave analyzing algorithm. Finally, a numerical calculation result is given, and the result illuminates that the new method is right and effective.;