一种节约内存的局部一维减缩时域有限差分方法

为了提高电大尺寸目标电磁计算效率，提出了一种用于克服时域有限差分算法稳定条件限制、降低计算所需内存的新方法。证明了即使在无源区域，局部一维时域有限差分法所给出的电磁场量不满足零散度关系，并推导了该散度关系的具体表达式。基于该非零散度关系和麦克斯韦旋度方程，将三维局部一维时域有限差分法与减缩时域有限差分法相结合，从而得到三维的局部一维减缩时域有限差分法。通过仿真计算证明该方法与LOD-FDTD方法的计算结果一致，具有良好的计算稳定性。

Locally one-dimensional reduced FDTD method for saving memory

A new memory efficient finite difference time domain （FDTD） method was presented for improving the electromagnetic computational efficiency of electrically large objects, which not only overcomes the courant friedrich levy condition, but also reduces the memory requirement. It is proven that the divergence relationship of electric field and magnetic field is non zero even in charge free regions, when the electric field and magnetic field are calculated with 3 D locally one dimensional finite difference time domain (3D LOD FDTD) method, and the concrete expression of the divergence relationship is derived. Based on the non zero divergence relationship and Maxwell curl equations, the 3 D LOD FDTD which is unconditionally stable is combined with the reduced finite difference time domain (R FDTD) method. The result of the new method is the same as the LOD FDTD,and it is proved stable by simulation.