Title :
A Spatially Filtered Finite-Difference Time-Domain Scheme With Controllable Stability Beyond the CFL Limit: Theory and Applications
Author :
Chun Chang ; Sarris, Costas D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
Abstract :
A 3-D finite-difference time-domain (FDTD) scheme with controllable stability beyond the stability limit of FDTD is presented. The key to controlling the FDTD stability limit is a spatial filter applied to the electromagnetic field vectors in order to ensure that unstable spatial harmonics are eliminated. A significant advantage of this approach is the simplicity of its incorporation into existing FDTD codes. Moreover, this method is employed as a means to implement a late-time stable 3-D sub-gridding scheme. Applications include waveguide filters and the analysis of screens for near-field sub-wavelength focusing at microwave frequencies.
Keywords :
electromagnetic fields; finite difference time-domain analysis; numerical stability; spatial filters; waveguide filters; 3D finite-difference time-domain; CFL Limit; Courant-Friedrichs-Lewy condition; FDTD codes; FDTD scheme; FDTD stability limit; controllable stability; electromagnetic field vector; finite-difference time-domain scheme; microwave frequencies; spatial harmonics; spatially filter; stable 3D subgridding scheme; waveguide filter; Cavity resonators; Discrete cosine transforms; Finite difference methods; Numerical stability; Stability analysis; Standards; Time domain analysis; Finite difference time domain (FDTD); numerical stability;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2012.2224670
