DocumentCode
2703795
Title
On Crank-Nicholson Based 3D FDTD
Author
Xie, X. ; Pan, G.
Author_Institution
Arizona State Univ., Tempe, AZ
fYear
2006
fDate
9-14 July 2006
Firstpage
3769
Lastpage
3772
Abstract
This paper presents an unconditionally stable time domain method, CNRG-TD, which is based upon the Crank-Nicohlson scheme and implemented with the Ritz-Galerkin procedure. Analytical expressions show that the CNRG-TD has much smaller truncation errors and is more accurate than the ADI-FDTD. Numerical examples of the new method demonstrate high precision and high efficiency. In the 3D antenna case, the time step, Deltat, was used which is seven times larger than that of the ADI-FDTD with excellent agreement of the benchmark solution
Keywords
Galerkin method; antenna theory; finite difference time-domain analysis; 3D antenna case; ADI-FDTD; CNRG-TD; Crank-Nicholson based 3D FDTD; Ritz-Galerkin procedure; time step; truncation errors; unconditionally stable time domain method; Eigenvalues and eigenfunctions; Error analysis; Finite difference methods; Finite wordlength effects; Mathematics; Matrices; Maxwell equations; Stability; Taylor series; Time domain analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location
Albuquerque, NM
Print_ISBN
1-4244-0123-2
Type
conf
DOI
10.1109/APS.2006.1711443
Filename
1711443
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