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Reduction of numerical dispersion by optimizing second‐order cross product derivative term in the ADI‐FDTD method
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.22991
Subject(s) - finite difference time domain method , stability (learning theory) , dispersion (optics) , reduction (mathematics) , mathematics , anisotropy , computer simulation , numerical stability , term (time) , numerical analysis , phase (matter) , mathematical analysis , computer science , physics , optics , geometry , quantum mechanics , statistics , machine learning
Abstract We propose a new adaptive alternating‐direction implicit finite‐difference time‐domain (ADI‐FDTD) to reduce the anisotropy in the numerical phase velocities. The proposed form has two anisotropic parameters on the first order terms of the time step and one parameter on the second order term of the time step. We introduce a new approach of reducing the error of the numerical phase velocity by controlling the three parameters. The numerical stability is discussed and compared with the previous approach of reducing the numerical dispersion. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 123–127, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22991