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ADI‐FDTD method perturbed by the second order cross derivative terms
Author(s) -
Kong KiBok,
Kim JongSung,
Park SeongOok
Publication year - 2008
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.23479
Subject(s) - finite difference time domain method , derivative (finance) , stability (learning theory) , mathematics , second derivative , microwave , numerical stability , mathematical analysis , anisotropy , numerical analysis , computer science , physics , optics , telecommunications , machine learning , financial economics , economics
A two‐step FDTD method as a compromise of conditional stability and reduced splitting error is formulated and its numerical stability is investigated. It is the perturbed form to the ADI‐FDTD method by the addition of second order cross derivative term. It is validated from the comparison of numerical anisotropy and numerical error over the ADI‐FDTD that numerical performances can be improved by controlling the perturbed term within the stable region of the cross derivative term. © Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 1822–1826, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23479