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提出了一个新的分析各向异性磁等离子体中电磁波传输特性的时域有限差分(FDTD)方法。该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域,然后再逆变换到时域得到它们之间显式的方程,最后再结合指数差分,得到离散时域的显式的FDTD迭代方程,解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。该方法在数学上具有简单明了和易于计算的特点,同时通过该方法计算各向异性等离子体板的电磁波反射和透射系数,与其解析解进行比较,结果表明了该方法的准确性和有效性。
A new finite-difference time-domain (FDTD) method for analyzing electromagnetic wave propagation characteristics in anisotropic magnetic plasma is proposed. In this method, the constitutive equation between the current density vector and the electric field intensity vector is transferred to the complex frequency domain based on the Laplace transform principle, and then inversely transformed into the time domain to obtain an explicit equation between them. Finally, The explicit FDTD iterative equation in discrete time domain is obtained, which solves the difficulty that the components of current density vector in the constitutive equation are coupled to each other and are not easy to disperse directly. The method is simple and easy to calculate in mathematics. The electromagnetic wave reflection and transmission coefficient of the anisotropic plasma plate is calculated by this method, and compared with the analytical solution. The results show the accuracy and effectiveness of the method.