Numerical dispersion and dissipation error of the 2-D PLCDRC-FDTD method for plasmas

Recently, a new finite-difference time-domain (FDTD) method for dispersive media called the piecewise linear current density recursive convolution FDTD (PLCDRC-FDTD) method has been published. The numerical dispersion relation of the 2-D PLCDRC-FDTD method for plasma is derived. With the numerical dispersion relation, the numerical dispersion error and dissipation error caused by the PLCDRC-FDTD method are investigated by comparing the real part and imaginary part of a numerical index of refraction with those of an analytic index of refraction. The relationships between the numerical dispersion, dissipation errors and different parameters (i.e. EM wave frequency, plasma frequency, collision frequency) are studied.