Title :
Conditions for the equivalence of the Chen and Yee FDTD algorithms
Author :
Shlager, Kurt L. ; Ray, Scott L. ; Maloney, James G. ; Peterson, Andrew F.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
A two-dimensional dispersion analysis of the recently proposed Chen finite-difference time-domain (FDTD) algorithm is presented and its properties evaluated. The dispersion properties of this scheme vary with respect to propagation angle, Courant stability factor, and the definition of numerical characteristic impedance. These dispersion characteristics can be used to identify parameters that make the Chen algorithm equivalent to the Yee FDTD algorithm.<>
Keywords :
convergence of numerical methods; dispersion relations; electromagnetic field theory; electromagnetic wave propagation; finite difference time-domain analysis; 2D algorithms; Chen algorithm; Courant stability factor; FDTD algorithms; Yee algorithm; dispersion properties; finite-difference time-domain algorithms; numerical characteristic impedance; propagation angle; two-dimensional dispersion analysis; Algorithm design and analysis; Dispersion; Equations; Finite difference methods; Impedance; Stability; Symmetric matrices; Time domain analysis; Transmission line matrix methods; Transmission lines;
Journal_Title :
Microwave and Guided Wave Letters, IEEE