Application of moving coordinate FDTD method to electromagnetic pulse propagation

The moving coordinate frame finite-difference time-domain (FDTD) method is developed to simulate the propagation of electromagnetic pulses over long distances. The discretized form of moving coordinate frame FDTD scheme in three dimensions is given, and is applied to calculate the propagation of different pulses in rectangular waveguides. The widths of pulses in propagation direction increase when the pulses propagate in the waveguide. Dispersion phenomena appear, and slow parts of the pulses move to the pulse tail. Result comparison between conventional FDTD method and moving coordinate frame FDTD method shows the relative error of less than 0.1%. The proposed method is shown to be accurate with a considerable reduction in time and memory consumption.