A Three-Dimensional Fourth-Order ADI-FDTD Method and Its Application in Cavity Problems

Author

Yan, Zhang ; Shanwei, Lü ; Jun, Zhang ; Minghua, Xue

Author_Institution

Beihang Univ., Beijing

fYear

2007

fDate

16-17 Aug. 2007

Firstpage

868

Lastpage

871

Abstract

Attention was focused on the three-dimensional fourth-order alternating-direction implicit finite-difference time-domain (3D 4^th-order ADI-FDTD) method using the 4^th-order spatial difference and the 2^nd-order temporal difference. Firstly, the numerical formulation of the 4^th-order ADI-FDTD method is presented. Secondly, the numerical dispersion relation is derived analytically. Moreover, the numerical dispersion is investigated as a function of mesh resolution and time step. Finally, several numerical examples for cavity problems are simulated. And it is found that the proposed method is more accurate than the 2^nd-order ADI-FDTD method.

Keywords

computational electromagnetics; dispersion relations; electromagnetic wave propagation; finite difference time-domain analysis; 2nd-order temporal difference; 3D fourth-order ADI-FDTD method; 4th-order spatial difference; alternating-direction implicit finite-difference time-domain method; cavity problems; mesh resolution; numerical dispersion relation; time step; Antennas and propagation; Communications technology; Dispersion; Electromagnetic compatibility; Finite difference methods; Microwave antennas; Microwave propagation; Microwave technology; Microwave theory and techniques; Time domain analysis; 4^th-order; ADI-FDTD method; cavity; numerical dispersion;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2007 International Symposium on

Conference_Location

Hangzhou

Print_ISBN

978-1-4244-1045-3

Electronic_ISBN

978-1-4244-1045-3

Type

conf

DOI

10.1109/MAPE.2007.4393764

Filename

4393764