Title :
A Semi-discrete Scheme for Computing Two-Dimensional Electromagnetic Field in Time Domain
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei
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
Keywords :
Maxwell equations; Runge-Kutta methods; cavity resonators; dispersion (wave); electromagnetic fields; finite difference time-domain analysis; 2D TM PEC cavity; Crank-Nicolson FDTD methods; adaptive Runge-Kutta method; alternate-direction-implicit FDTD; dispersion curve; finite difference time domain method; numerical dispersion; perfectly electrically conducting cavity; semi-discrete Maxwell equations; time domain; two-dimensional electromagnetic field; unconditionally stable semi-discrete scheme; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic fields; Finite difference methods; Maxwell equations; Sampling methods; Stability analysis; Tellurium; Time domain analysis; Wavelength measurement;
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
DOI :
10.1109/APS.2006.1711459
