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ABSTRACT: In this letter, the stability issue of the recently proposed 3-D precise integration time-domain (PITD) method is reinvestigated. It is found that the PITD is not unconditionally stable; its stability condition is strongly dependent on the preselected number of sub time-steps and sizes of numerical cells as well as the order of the approximation used. However, since the upper limit of time step is found to be proportional to the number of sub time-steps, the time step can be of a value much larger than the Courant-Friedrich-Levy limit of the conventional finite difference time domain. Numerical examples are presented to verify our analysis.
IEEE Microwave and Wireless Components Letters 08/2007; · 1.72 Impact Factor
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ABSTRACT: This paper presents a comprehensive analysis of numerical dispersion of a recently developed unconditionally stable three-dimensional time-domain algorithm called the precise integration time-domain (PITD) method. The dispersion relation is derived analytically and the effects of spatial and time steps on the numerical dispersion are investigated. It is found the PITD scheme has advantages over the conventional Yee's FDTD method in using a large time step and over the ADI-FDTD method in having high computational accuracy. Numerical dispersion errors of the PITD method can be made nearly independent of the time-step size.
Microwave Symposium, 2007. IEEE/MTT-S International; 07/2007
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IEEE Asia Pacific Conference on Circuits and Systems 2006, APCCAS 2006, Singapore, 4-7 December 2006; 01/2006
