Multidomain pseudospectral time-domain algorithm based on super-time-stepping method

A new time-domain algorithm which combines the super-time-stepping (STS) method and the multidomain pseudospectral time-domain (PSTD) algorithm is presented. This algorithm not only maintains accuracy and flexibility of PSTD for an accurate treatment of arbitrarily curved objects but also relaxes the stability restriction for the explicit time integration scheme, establishing it for possible use in any implicit time integration scheme. Some numerical examples are given to illustrate the accuracy and efficiency of this proposed approach.