volume | PIER Journals

Abstract

A new non-dissipative and explicit finite-difference time-domain (FDTD) method is proposed for relaxation of the Courant condition of FDTD(2,6) in three and two dimensions. To the time-development equations, the third- and fifth-degree spatial difference terms with fourth- and second-order accuracy, respectively, are appended with coefficients. A set of optimal coefficients for the appended terms is searched to minimize the numerical error in phase velocity but relax the Courant condition as well. The numerical errors with the new method are more reduced than those with the previous methods for each Courant number. However, there exists a large anisotropy in the phase velocity errors at large Courant numbers.

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Ms. Harune Sekido

Dr. Takayuki Umeda