【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。更多还原

【Abstract】 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.更多还原