A Semi-discrete Scheme for Computing Two-Dimensional Electromagnetic Field in Time Domain
Journal
2006 IEEE Antennas and Propagation Society International Symposium
Pages
3833-3836
Date Issued
2006
Author(s)
Abstract
This paper applies an unconditionally stable semi-discrete (SD) scheme to compute the two-dimensional electromagnetic field in time domain. Numerical dispersion of this scheme is derived and compared with the alternate-direction-implicit (ADI) FDTD and the Crank-Nicolson (CN) FDTD methods. The dispersion curve of the proposed scheme is found to be the lower and the upper limits of those of the explicit and the implicit FDTD methods, respectively. As a numerical example, the adaptive Runge-Kutta method is adopted to solve the semi-discrete Maxwell equations for the fields in a 2D TM PEC cavity. Numerical results reveal that the SD scheme is much accurate than the ADI FDTD method. The computation speed, however, still has to be improved. ©2006 IEEE
Other Subjects
Dispersions; Electromagnetic fields; Maxwell equations; Numerical methods; Runge Kutta methods; Alternate direction implicit; Crank-Nicolson FDTD method; Discrete scheme; Dispersion curves; Numerical dispersions; Numerical results; Time domain; Two-dimensional; Unconditionally stable; Upper limits; Finite difference time domain method
Type
conference paper
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