An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties

Author

Yang, Shun-Chuan ; Chen, Zhizhang ; Yu, Yiqiang ; Yin, Wen-Yan

Author_Institution

State Key Lab. of Modern Opt. Instrum., Zhejiang Univ., Hangzhou, China

Volume

60

Issue

4

fYear

2012

fDate

4/1/2012 12:00:00 AM

Firstpage

1995

Lastpage

2003

Abstract

An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods. However, its computational expenditure is found to be the lowest. In other words, in comparison with the ADI-FDTD and LOD-FDTD methods, the one-step arbitrary-order leap-frog ADI-FDTD method retains identical numerical modeling accuracy but with higher computational efficiency.

Keywords

finite difference time-domain analysis; LOD-FDTD methods; arbitrary-order leapfrog alternating-di¬ rection-implicit finite-difference time-domain method; identical numerical modeling accuracy; unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method; Dispersion; Equations; Finite difference methods; Magnetic fields; Mathematical model; Stability analysis; Time domain analysis; Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method; arbitrary order; leapfrog; locally-one-dimensional finite-difference time-domain (LOD-FDTD) method; numerical dispersion; one-step; unconditional stability;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2186249

Filename

6142019