基于三次样条时域基函数的MOT算法精确求解细直线瞬时电磁辐射和散射问题
An Accurate Solution for Transient Scattering and Radiation from Straight Thin-Wire Using the Cubic Spline as Temporal Basis Function
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摘要: 提出了采用三次样条函数作为时域基函数求解良导体细线时域积分方程(TD-EFIE)的MOT(Marching on in time)算法,由于三次样条函数是非因果的,算法中采用有限带宽信号的一步外推方法,估计将来值。三次样条函数作为时间基函数,具有插值精度高、支撑区域小的特点,在保证计算精度的情况下降低了信号采样率和计算的复杂性,提高了MOT算法的后时稳定性。计算结果表明了算法的有效性。Abstract: This paper use Cubic Spline as temporal basis function to effect the temporal discretization of the time-domain electric field integral equation(TD-EFIE),Because the temporal basis functions are noncausal,the one step extrapolation method is used to construct a marching on in time(MOT) scheme to solve the problem on transient scattering and radiation from straight thin-wire.Using the Cubic Spline as temporal basis functions has most desirable attributes such as short temporal support,accurate interpolation and simplicity. Numerical results show that this new temporal basis function provides a much more accurate and stable MOT solution.