Discretization of Modified Maxwell´s Equations using Exponential Time Differencing Algorithm in the Periodic FDTD Method

In the proposed method, a new discretization technique based on the exponential time differencing (ETD) algorithm is introduced to achieve the same numerical stability and accuracy as in the traditional periodic FDTD method. Compared to the stability factor method (SFM), the ETD algorithm has simpler updating forms, and it requires less CPU time and memory. Several validation cases are provided and excellent agreement between these two methods among all of the validation cases is obtained