Title :
Z-transform theory and FDTD stability
Author :
Abdijalilov, Kakhkhor ; Grebel, Haim
Author_Institution :
New Jersey Inst. of Technol., Newark, NJ, USA
Abstract :
In this paper we analyze the stability and the accuracy of finite-difference time-domain (FDTD) algorithms using Z-transform technique. Conventional time-staggered approximation of the time-derivative is replaced by a rational transfer function discrete-time filter. Then a generalized formulation of the FDTD time-stepping is presented. Finally, we show that it is possible significantly reduce the time-sampling error of FDTD algorithm by properly choosing the transfer function coefficients.
Keywords :
Maxwell equations; Z transforms; discrete time filters; finite difference time-domain analysis; rational functions; transfer functions; FDTD time-stepping; Z-transform theory; finite-difference time-domain; rational transfer function discrete-time filter; time-sampling error; Difference equations; Differential equations; Finite difference methods; Frequency; Maxwell equations; Sampling methods; Solid modeling; Stability; Time domain analysis; Transfer functions; 65; FDTD; Finite-difference time-domain; Z-transforms; methods;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.835267
