Dispersion Analysis and Advantages of High-order Discrete Singular Convolution FDTD

This paper proposes a high-order Discrete Singular Convolution (DSC) FDTD method. The numerical characteristics of the dispersion are studied. It can be seen that the smaller the spatial step size, the smaller the dispersion error, and the higher-order scheme has a lower numerical dispersion error. Even the dispersion error under the coarse grid is very close to the dispersion error of the traditional central difference under the fine grid. And examples show that the high-order DSC-FDTD method is useful and valuable as a time-domain high-order method.