FDTD(2,4)算法的数值色散特性及其在微带天线中的应用研究

Numerical Dispersion of Higher-Order FDTD (2,4) and Applications to Microstrip Antenna

该文研究了在时间上采用2阶差分、空间上采用4阶差分的高阶FDTD(2,4)数值方法,推导出其三维差分公式,并详细分析了其数值色散特性.另外,将PML吸收边界有效地应用于微带天线的计算,并与传统FDTD(2,2)数值结果进行了对比.结果证明高阶FDTD(2,4)算法能够有效减小数值色散和相速误差,而且可以降低对计算机内存的要求,减小计算量,适用的计算频段更高.

A higher-order finite-difference time-domain (FDTD) scheme with fourth order in space is studied for the solution of the Maxwell equations in the time domain and the three dimensional fourth-order difference formulas are obtained. The numerical dispersion characteristics of the higher-order FDTD (2,4) are analyzed in detail. Perfectly matched layer (PML) is carried out effectively in the calculation of the microstrip antenna. Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical dispersion and phase velocity errors. Computation complexity and memory requirements can be reduced, and the frequency bands to be calculated are extended.