Title :
Low Dispersive Compact ID-FDTD Algorithm for Electrically Large Waveguides
Author :
Kim, Hyun ; Yook, Jong-Gwan
Author_Institution :
ISR R&D Lab, LIG Nex1, Yongin, South Korea
Abstract :
A novel compact finite difference time domain (FDTD) scheme is proposed to remedy the anisotropic dispersion characteristic and inaccurate transverse cutoff frequency observed in conventional compact FDTD schemes. The proposed scheme is formulated based on the two-dimensional (2D) isotropic-dispersion finite difference (ID-FD) equation (I. Koh, et al, “Novel explicit 2-D FDTD scheme with isotropic dispersion finite-difference time-domain algorithm” IEEE Trans. Antennas Propag., vol. 54, no. 11, pp. 3505-3510, Nov. 2006), which is a novel low dispersion finite difference (FD) scheme. The formulation is derived for the scaling factors constrained with both the exact phase constant and cutoff frequency in the transverse domain, and for an optimal weighting factor using the least mean square (LMS) algorithm for the ID-FD equation.
Keywords :
dispersion (wave); finite difference time-domain analysis; least mean squares methods; waveguides; 2D ID-FD equation; FD scheme; LMS algorithm; anisotropic dispersion characteristic; compact finite difference time domain scheme; conventional compact FDTD schemes; electrically large waveguides; exact phase constant; inaccurate transverse cutoff frequency; least mean square algorithm; low dispersion finite difference scheme; low dispersive compact ID-FDTD algorithm; optimal weighting factor; scaling factors; transverse domain; two-dimensional isotropic-dispersion finite difference equation; Cutoff frequency; Dispersion; Equations; Finite difference methods; Mathematical model; Optimization; Time domain analysis; Compact FDTD; ID-FD equation; low dispersion; transverse cutoff frequency;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2012.2207311
