The Associated Hermite FDTD Method with Non-uniform Grid Scheme

In order to solve the inefficiency problem of the FDTD method in computing fine structures, this paper proposes an AH FDTD method based on the non-uniform grid method. The main method used in this paper is to introduce a coordinate mapping relationship from non-uniform grid to uniform grid into AH FDTD, and derive the discrete update equation of electromagnetic field in AH domain in two-dimensional case. Finally, a simple example is given to illustrate the effectiveness, accuracy and efficiency of the proposed method.