利用多种变换实现磁化等离子体的时域数值仿真

A Multi-transform Technique for Numerical Simulation of Magnetized Plasma Using Time Domain Algorithm

基于场量D-E(电位移矢量-电场场强)的本构关系,通过综合利用时域、频域和Z变换域之间的关系导出一种磁化等离子体电磁特性的时域建模方法(称为多变换域方法),该方法避免了在时域数值方法中增加涉及感生电流的数值迭代公式,也无须对各种数值方法的基本迭代方程进行改动。同时,运用时域和频域的关系推导出辅助差分方程法对磁化等离子体进行时域建模的方法。将以上两种方法应用于时域有限差分法的三维数值仿真,计算结果具有较好的一致性。但由于ADE方法引入较多近似误差,故而变换域方法较其更加准确。

Based on the constitutive relation between D and E, this paper presented a novel numerical model for magnetized plasma in electromagnetic numerical algorithms using the relation among time domain, frequency domain and Z domain. This numerical model can avoid the calculating of induced current and the typical iteration formulations need not be revised as former methods. Using auxiliary difference equation （ADE） technique, a numerical model for magnetized plasma was also derived and the calculating results are compared to that making full use of the relation among diverse domain. Finally, three dimensional numerical results of finite-difference time-domain （FDTD） algorithm show and verify the agreement of these two methods.