Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/10340
Title: Stability and dispersion analysis of ADI-MRTD and ADI high-order schemes
Authors: Sun, MK
Tam, WY 
Keywords: ADI FDTD method
Battle-Lemarie scaling functions
High-order centered finite difference
Numerical dispersion
Issue Date: 2005
Publisher: Wiley-Blackwell
Source: Microwave and optical technology letters, 2005, v. 45, no. 1, p. 43-46 How to cite?
Journal: Microwave and optical technology letters 
Abstract: The maximum time-step size of the alternating-direction implicit finite-differenc̀e time-domain (ADI-FDTD) method is not limited by the Courant-Friedrich-Levy (CFL) stability condition. However, the numerical-dispersion error of the ADI-FDTD method is much greater than that of Yee's FDTD method. In this paper, the numerical dispersion is improved by approximating the spatial derivatives using cubic spline Battle-Lemarie scaling functions and the high-order centered differences. The stability condition and the numerical-dispersion relations are derived using the Fourier series method and validated by a numerical simulation. The new scheme is unconditionally stable and the numerical dispersion error can be reduced to the limit of the conventional ADI-FDTD method with the 6th-order centered difference.
URI: http://hdl.handle.net/10397/10340
ISSN: 0895-2477
EISSN: 1098-2760
DOI: 10.1002/mop.20717
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