Zero phase velocity error finite-difference time-domain method for small space step and large time step sizes

• Published in: Microwave and optical technology letters 2012-02, Vol.54 (2), p.423-426
• Main Authors: Kusaf, Mehmet, Oztoprak, Abdullah Y.
• Format: Article
• Language: English
• Subjects: alternating direction implicit finite-difference time-domain; finite-difference time-domain; split-step finite-difference time-domain; unconditionally stable finite-difference time-domain methods
• ISSN: 0895-2477; 1098-2760
• DOI: 10.1002/mop.26567

Unconditionally stable multi (4, 6, and 8) split‐step finite‐difference time‐domain methods are isotropic for a certain space step size and a stability factor.It is shown in this letter that for small step sizes the phase velocity errors can be corrected by using a factor which is a function of the product of the space step size and the stability factor. This way, it is not necessary to obtain the multiplication factor each time when a different space step size is used. Also, by using this multiplication factor zero phase velocity error can be obtained in all directions at a chosen frequency. Performance analyses have shown that the method is also wideband. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:423–426, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26567