Title :
The unconditionally stable pseudospectral time-domain (PSTD) method
Author :
Zhao, Gang ; Liu, Qing H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
Abstract :
This letter presents a new time-domain method for Maxwell´s equations, in which the unconditionally stable techniques, the alternating direction implicit (ADI) and the split-step (SS) schemes, are developed for the pseudospectral time-domain (PSTD) algorithm to maintain stability while achieving higher accuracy and efficiency over the FDTD method. The multidomain strategy is employed to allow for a flexible treatment of internal inhomogeneities. Numerical results demonstrate the unconditional stability and the second-order accuracy for both ADI- and SS-PSTD algorithms.
Keywords :
Maxwell equations; finite difference time-domain analysis; numerical stability; ADI-PSTD algorithm; FDTD algorithm; Maxwell equations; SS-PSTD algorithm; alternating direction implicit method; numerical simulation; pseudospectral time-domain method; split-step method; unconditional stability; Chebyshev approximation; Circuit stability; Computational geometry; Finite difference methods; Maxwell equations; Microwave theory and techniques; Nonhomogeneous media; Radio frequency; Sampling methods; Time domain analysis;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2003.819372
