一种适于1维磁等离子体电磁波传输特性的FDTD分析
Novel finite-difference time-domain analysis of electromagnetic wave transmission characteristics of magnetized plasma
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摘要: 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。Abstract: A novel finite-difference time-domain(FDTD) method is proposed to analyse electromagnetic wave transmission characteristics of magnetized plasma. The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform, and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping, the FDTD iteration equations are obtained, which can be easily solved in discrete-time-domain. By these techniques, the difficulty, that the two components of the current density vector can not be discreted because of their coupling in the constitutive equation, is solved. Reflection coefficient of anisotropic plasma slab is calculated using this me
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