Title :
Numerical Dispersion Analysis of the Unconditionally Stable Three-Dimensional LOD-FDTD Method
Author :
Ahmed, Iftikhar ; Chua, Eng-Kee ; Li, Er-Ping
Author_Institution :
Comput. Electromagn. & Photonics Dept., Inst. of High Performance Comput., Singapore, Singapore
Abstract :
The numerical dispersion characteristics of the recently developed three-dimensional unconditionally stable locally- one-dimensional finite-difference time-domain (LOD-FDTD) method are derived analytically. The effect of grid size and the Courant Friedrich Lewy (CFL) limits on dispersion are studied in detail. The LOD-FDTD method allows larger time steps as compared to the conventional FDTD method (CFL limit). The analysis shows that the unconditionally stable three-dimensional LOD-FDTD method has an advantage over the conventional FDTD method when modeling structures that require fine grids. The LOD-FDTD method allows larger CFL numbers as long as the dispersion error remains in acceptable range.
Keywords :
electromagnetic wave propagation; finite difference time-domain analysis; CFL numbers; Courant Friedrich Lewy; locally one dimensional finite difference time domain method; numerical dispersion analysis; numerical dispersion characteristics; unconditionally stable three dimensional LOD-FDTD method; Dispersion; Equations; Finite difference methods; Photonics; Propagation; Stability analysis; Time domain analysis; Alternating direction implicit-finite-difference time-domain (ADI)-FDTD; Courant Friedrich Lewy (CFL) limit; FDTD; locally-one-dimensional finite-difference time-domain (LOD-FDTD); numerical dispersion; unconditional stability;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2010.2078481
