Optimum scaling factors for one-dimensional finite-difference time-domain scheme in Maxwell-Boltzmann system

This paper proposes a new one-dimensional finite-difference time-domain (1D-FDTD) method to achieve accurate electromagnetic (EM) wave characteristics in plasma region for wideband signals. This paper utilizes Maxwell-Boltzmann system, which can analyze EM wave properties without effective permittivity model, such as Debye, Drude, or Lorentz model. It is the advantage of the proposed method that does not increase the complexity of the conventional FDTD algorithm while it provides accurate results. The proposed method employs two scaling factors that control electron density and collision frequency of plasma. And they are optimized to achieve minimum error in the frequency band of interest, and the optimized scaling factors are applied to the conventional FDTD method. The validity and effectiveness of the proposed method is verified by comparing electric field intensity in infinite plasma region with that of the analytic solution and the conventional FDTD method.