A high efficient SO-FDTD method for magnetized collisional plasma

Abstract

Based on the Maxwell formulae and the auxiliary differential equation of polarized current density, this paper presents a high efficient shift-operator finite difference time-domain (SO-FDTD) method for simulating magnetized cold plasma, which combines time-domain shift operators with a memory-minimized algorithm. This method is applied to calculate the reflection and transmission of the electromagnetic waves incidence in a magnetized plasma layer, and its accuracy is validated by the analytical method. The bistatic radar cross section of magnetized plasma sphere is also calculated by this method. Numerical experiment demonstrates that the new method is more efficient than the improved SO-FDTD methods proposed in the recent references based on the same accuracy. Moreover, the recursion formulae of the new SO-FDTD method avoid huge expenses of computer resource arising from complicated convolutions and complex or exponential variables, so the computations for magnetized plasma are simpler than other FDTD methods based on recursive convolution or transformation principle such as piecewise-linear current density recursive convolution-FDTD method and Z-transformation-FDTD method proposed in former references.

Acknowledgement

The authors are obliged to the National Natural Science Foundation of China for Grant 40974092.