三维周期结构弱无条件稳定时域有限差分算法  

Weakly conditionally stable 3-D FDTD method for periodic structures

作　　者：刘宗信[1,2] 陈亦望[1] 徐鑫[1] 刘亚文[1] 孙学刚 张书迪 

机构地区：[1]解放军理工大学工程兵工程学院 [2]解放军95972部队

出　　处：《强激光与粒子束》2012年第11期2687-2692,共6页High Power Laser and Particle Beams

基　　金：国家自然科学基金项目(60671007)

摘　　要：从麦克斯韦方程出发,导出了适用于周期结构的三维弱无条件稳定时域有限差分(FDTD)算法的迭代式,在理论上证明了其稳定性条件,其稳定性条件比普通FDTD的稳定性条件要宽松,并将周期边界条件应用到迭代式中,得到了可直接编程迭代的方程,给出了对其特有的一类非三对角阵的解决办法。最后通过算例将计算结果与常规FDTD及ADI-FDTD计算结果比较,验证了算法的精确性和有效性。Based on Maxwell＇ s equations, a weakly conditionally stable finite-difference time domain（FDTD） method for periodic structures is proposed. The stability condition is verified theoretically. Which is looser than that of the conventional FDTD method. And the ShermamMorrison formula has been used to solve the nomtridiagonal linear system. The new algorithm has better accuracy and efficiency than the ADLFDTD, especially for large time step size. A numerical example is presented to demonstrate the efficiency and accuracy of the proposed algorithm. Results show the CPU time for this method can be reduced to about 33% of the ADI-FDTD method.

关 键 词：周期结构 弱无条件稳定 时域有限差分 交替方向隐式 

分 类 号：O441[理学—电磁学]