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A 4 th ‐order accurate unconditionally‐stable IMS‐FDTD method with low numerical dispersion
Author(s) -
Xiao Fei,
Tang Xiaohong
Publication year - 2006
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21646
Subject(s) - finite difference time domain method , stability (learning theory) , microwave , mathematics , dispersion (optics) , dispersion relation , computer science , mathematical analysis , physics , optics , telecommunications , machine learning
This paper presents a 4 th ‐order accurate implicit multistage finite‐difference time‐domain (IMS‐FDTD) method. The analysis of the stability shows that this IMS‐FDTD method is unconditionally stable. In addition, its numerical‐dispersion relation is derived and the analysis shows that its performance is better than those of conventional unconditionally‐stable implicit FDTD methods and is even better than those of some conditionally‐stable explicit FDTD methods, such as the Fang(2, 4)‐FDTD method. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 1383–1385, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21646