辛时域多分辨率算法在波导结构仿真中的应用

文中基于Daubechies紧支撑尺度函数的辛时域多分辨率(symplectic multiresolution time-domain, S-MRTD)算法，在时间方向上采用优化的3级3阶的辛算子进行离散，以减少时间步的迭代次数，在空间方向上采用小波尺度函数展开算法进行离散. 给出了S-MRTD算法的三维迭代公式，并将其应用到波导结构相关特征参数的数值计算和分析中. 数值计算结果表明，与传统的MRTD算法相比，S-MRTD算法在使用粗网格和较高的稳定性常数时，仍能得到精确计算结果，且具有内存使用少、计算效率高的特点.

Application symplectic multiresolution time domain algorithm in waveguide structure simulation

In this paper,the symplectic multiresolution time domain method(S-MRTD)based on compactly supported scaling function is studied.In order to reduce the number of iterations in time steps,the optimized 3-stage 3-order symplectic integrator propagator is used to discretize in the temporal direction,and in the spatial direction,the time domain multi-resolution method with good dispersion characteristics is used to discretize.In this paper,the threedimensional iterative formula of symplectic time domain multi-resolution scheme is given,which is applied to analysis of the characteristic parameters of waveguide structures.The numerical results show that compared with the conventional time domain multiresolution(MRTD),the S-MRTD method can still get accurate results when using coarse grids and high stability constants,which has the characteristics of less memory usage and higher computational efficiency.