辛时域多分辨率算法在波导结构仿真中的应用  

Application symplectic multiresolution time domain algorithm in waveguide structure simulation

作　　者：李磊 卫敏[1] LI Lei;WEI Min(School of Electrical Engineering and Automation,Anhui university,Hefei 230601,China)

机构地区：[1]安徽大学电气工程与自动化学院,合肥230601

出　　处：《电波科学学报》2021年第1期49-54,共6页Chinese Journal of Radio Science

基　　金：国家自然科学基金(61471001,61301062);安徽省高校自然科学基金(KJ2013A019);安徽省杰出青年基金(1108085J01);安徽大学博士科研启动基金(J01001319)。

摘　　要：文中基于Daubechies紧支撑尺度函数的辛时域多分辨率(symplectic multiresolution time-domain,SMRTD)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.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.

关 键 词：辛时域多分辨率(S-MRTD)算法 辛算子 时域多分辨率(MRTD)分析 特征参数 Daubechies小波基 

分 类 号：TN801[电子电信—信息与通信工程] TM15[电气工程—电工理论与新技术]