Newmark Algorithm in FDTD Analysis of Multi-Ion Magnetized Plasma

Basing on the frequency-domain polarizability tensor of multi-ion magnetized plasma in principal coordinate system and the transfer matrix between laboratory and principal system, a finite difference time domain formulation, using Newmark algorithm, for multi-ion plasma subject to an external magnetic field with arbitrary direction is derived. Taking a two-component magnetized plasma medium for example, the reflection/transmission from a layer and backward scattering from a sphere are simulated, of witch the numerical results demonstrate the validity and feasibility of the proposed method. A conclusion, witch can be proved mathematically, that the upper limit of forbidden frequency band of circularly polarized eigen waves is greater than that in any one component existing alone case, and would increase with the increase of kinds of components, is found.