Abstract: A new algorithm which combines the ADI technique and the multi-domain pseudospectral time domain algorithm is presented to solve the stability problem restricted by the finite-difference time-domain (FDTD) and traditional multi-domain pseudospectral time domain (PSTD). The compact matrix is used to clearly describe the 2-D ADI multi-domain pseudospectral time domain (ADI-MPSTD). This algorithm not only maintains accuracy and flexibility of PSTD for an accurate treatment of arbitrarily curved objects, but also improves stability and efficiency. Compared with numerical results calculated by some conventional algorithm, the results of ADI-MPSTD fully demonstrate higher accuracy and good stability.

Key words: alternating direction implicit, multi-domain, pseudospectral time domain (PSTD)