Multi split-step unconditionally stable finite difference time domain methods

New unconditionally stable split‐step FDTD methods with 6 and 8 split‐steps are introduced. A new definition of the stability factor is used for fair comparison of multi split‐step methods, which takes into account the number of split‐steps as well. When different methods are compared, on equal time...

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Bibliographic Details
Published in:Microwave and optical technology letters 2009-11, Vol.51 (11), p.2646-2649
Main Authors: Kusaf, Mehmet, Oztoprak, Abdullah Y.
Format: Article
Language:English
Subjects:
Alternating direction implicit finite-difference time-domain (ADI FDTD)
Finite Difference Time Domain (FDTD)
split-step FDTD
unconditionally stable FDTD methods
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Summary:New unconditionally stable split‐step FDTD methods with 6 and 8 split‐steps are introduced. A new definition of the stability factor is used for fair comparison of multi split‐step methods, which takes into account the number of split‐steps as well. When different methods are compared, on equal time basis using this definition, it is found that the new methods have the best dispersion error performance. Dispersion performances of some of the previously reported “improved” multi split‐step FDTD methods do not seem to be as good as claimed. It has also been shown that for each space step value, the new methods have zero anisotropic error at certain large stability factor (time step) values. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2646–2649, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24704
ISSN:0895-2477
1098-2760
DOI:10.1002/mop.24704