ADI-MRTD算法的数值色散性分析  

Analysis of the Numerical Dispersion of the ADI-MRTD

作　　者：王丽华[1] 吴先良[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《现代电子技术》2007年第11期17-20,共4页Modern Electronics Technique

基　　金：国家自然科学基金项目(60371041)

摘　　要：针对传统的时域多分辨分析(MRTD)方法的稳定性不足问题,讨论了一种将交替方向隐式技术(ADI)与MRTD算法相结合的交替方向隐式时域多分辨分析算法(ADI-MRTD)。导出了基于Daubechies小波尺度函数的ADI-MRTD算法的差分公式和色散性方程,同时证明了其仍然满足无条件稳定方程。并讨论了空间步长、时间步长和电磁波传播方向等因素对ADI-MRTD算法的数值色散影响。结果表明:ADI-MRTD算法的数值色散特性优于传统的时域有限差分(FDTD)算法。A new method which combines the Alternating Direction Implicit （ADI） technique and the Mutliresolution Time Domain （MRTD） algorithm is presented to solve the stability problem restricted by the mutliresolution time domain. The general difference formula and the numerical dispersion equation for the Alternating Direction Implicit Mutliresolution Time Domain （ADI-MRTD） method are deduced. Moreover, the unconditional stability of the ADI - MRTD method is analytically proved. The effects of space increment,time increment and propagation angle on the dispersion error are discussed. The numerical results suggest that the numerical dispersion property of the ADI - MRTD method is superior to that of the traditional Finite - Difference Time - Domain （FDTD） method.

关 键 词：时域多分辨分析算法 交替方向隐式时域有限差分算法 数值色散 小波尺度函数 

分 类 号：TN319.5[电子电信—物理电子学]