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Reduction Method of Anisotropy Error in Two Dimensional ADI-FDTD Method  

Kim, Jong-Sung (Department of Communications Engineering, Kyungsung University)
Kong, Ki-Bok (School of Engineering, Information and Communications University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea TC / v.44, no.10, 2007 , pp. 178-184 More about this Journal
Abstract
A new adaptive alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed to obtain isotropic wave propagation for all directional angles. We add the square terms of time-step multiplied by the spatial derivatives of x and y as a perturbed term to the conventional ADI-FDTD and can find the optimization coefficient of square terms of time-step to generate the minimum anisotropy. The new ADI-FDTD is also stable, even when its time-step is greater than the Courant-Friedrich-Levy (CFL) limit. The characteristic equation of the dispersion relation governing the new method is derived and compared with the theoretical and numerical results for the conventional ADI-FDTD and perturbed ADI-FDTD methods.
Keywords
ADI; FDTD; Anisotropy; Dispersion; Stability;
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