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3D low‐dispersion IFD‐FDTD based on 3D isotropic finite difference
Author(s) -
Xiao Fei,
Tang Xiaohong,
Mao Ruijie,
Zhang Xianjing
Publication year - 2005
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.20993
Subject(s) - finite difference time domain method , isotropy , finite difference method , mathematics , finite difference , dispersion (optics) , mathematical analysis , stability (learning theory) , microwave , optics , physics , computer science , telecommunications , machine learning
Usually, 1D finite difference based on the Taylor series expansion theorem is used to approximate the spatial ideal partial‐differential operator (IPDO) using conventional FDTD methods. Such a treatment is simple, but its severe numerical dispersion is untenable. In this paper, a kind of 3D isotropic finite difference (IFD) is introduced and a new FDTD method, called IFD‐FDTD, is presented. A numerical‐dispersion analysis shows that it is superior to Yee's conventional FDTD method. In addition, through the analysis of stability, it is found that its stability condition is the same as that of Yee's FDTD method. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 46: 381–384, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20993