Computational algorithm of FDTD method for the Lorentz transformation

In this paper, new computational algorithm of FDTD method is proposed to analyze the electromagnetic field moving with higher velocity value. To apply the Lorentz transformations to FDTD method, at least two frames are required in calculation. But it is difficult to introduce two frames, rest frame and moving frame, in FDTD method. Here, by using two overlapped meshes, it makes possible to use these two frames in FDTD method. The new scheme of the calculation parameter was shown and as the easy example, the received wave at the observation point is calculated when the observation point moves for arbitrary directions. The numerical results were compared with the theoretical results and good agreements were obtained.