Title :
A Three-Dimensional Finite-Difference Time-Domain Scheme Based on a Transversely Extended-Curl Operator
Author :
Panaretos, Anastasios H. ; Aberle, James T. ; Díaz, Rodolfo E.
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ
Abstract :
In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results
Keywords :
Laplace equations; Maxwell equations; computational electromagnetics; dispersion (wave); finite difference time-domain analysis; mathematical operators; numerical stability; 3D FDTD scheme; 3D finite-difference time-domain scheme; Courant number; curl-curl operator; dispersion characteristics; isotropy characteristics; stability analysis; transverse Laplacian representation; transversely extended-curl operator; Anisotropic magnetoresistance; Finite difference methods; Laplace equations; Maxwell equations; Numerical simulation; Partial differential equations; Stability analysis; Time domain analysis; Curl operator; Laplacian operator; finite-difference time-domain (FDTD) method;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2006.885900
