A 2-D Parameter-Optimized Spatial Finite-Difference Temporal Differential Method With Dispersion-Controllable Properties

In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion characteristic of the conventional SFDTD method is demonstrated. To improve dispersion performance, we incorporate a weight parameter and utilize the central-difference approximation with four stencils for spatial discretization. Then, we develop a dispersion-controllable 2-D PO-SFDTD method. Numerical experiments validate that the proposed method can significantly reduce dispersion errors and optimize numerical dispersion according to specific requirements.