Title :
Lyapunov and Matrix Norm Stability Analysis of ADI-FDTD Schemes for Doubly Lossy Media
Author :
Heh, Ding Yu ; Tan, Eng Leong
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
fDate :
3/1/2011 12:00:00 AM
Abstract :
Lyapunov and matrix norm stability analysis is applied on various alternating-direction-implicit finite-difference time-domain (ADI-FDTD) schemes for doubly lossy media. The stability analysis is performed rigorously in both time and Fourier domains. Among the schemes considered are averaging, forward-backward, backward-forward, forward-forward, exponential time differencing and backward-backward. From the analysis, it is found that all schemes except backward-backward scheme are unconditionally stable. For backward-backward scheme, the condition for stability is determined.
Keywords :
absorbing media; finite difference time-domain analysis; matrix algebra; stability; ADI-FDTD schemes; Fourier domains; Lyapunov norm stability analysis; alternating-direction-implicit finite-difference time-domain scheme; backward-backward scheme; doubly lossy media; exponential time differencing; forward-backward schemes; matrix norm stability analysis; time domains; Alternating-direction-implicit finite-difference time-domain (ADI-FDTD); lossy media; stability;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2010.2103026