An improved analysis of one-dimensional PBG structure using the ADI-FDTD method.

In this paper, an improved finite-difference time-domain (FDTD) algorithm is proposed in order to eliminate the restraint by the Courant–Friedrich–Levy condition. The new algorithm is developed based on an alternating-direction implicit (ADI) approach. In this method, the conventional time step is divided into two time sub-steps and each of their difference errors can be remedied. It thus has a high efficiency in the case when a long time is spent to reach a stable status, and this situation usually appears in periodical structures such as PBG structures. A numerical example of one-dimensional (1D) PBG materials is considered to demonstrate the availability and efficiency of this scheme. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 38: 348–352, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11057 [ABSTRACT FROM AUTHOR]