A FDTD analysis on magnetized plasma of Epstein distribution and reflection calculation

A novel finite-difference time-domain (FDTD) method with recursive relationships among operators, developed for magnetized dispersive medium, is named shift operator FDTD (SO-FDTD) method. In this paper, the dielectric property of magnetized dispersive media is written as rational polynomial function, the relationship between D and E is deduced in time-domain. The high accuracy and efficiency of this method is verified by calculating the reflection and transmission coefficient of electromagnetic waves through a collisional plasma slab. As the electron density in plasma distributes as Epstein formula, the effect of the gradient coefficient σ and plasma thickness on the reflection coefficient is calculated. The results show that with different σ, the distribution between the reflection coefficient and the incidence frequency is same; but there is certain difference within some specific frequency range. And there are fewer effects of different thicknesses on the reflection coefficient under different conditions.