A New Form of the Numerical Dispersion Relation of ADI-FDTD for the 3D Maxwell´s Equations

Author

Gao, Liping

Author_Institution

Sch. of Math. Sci., Shandong Normal Univ., Jinan, China

fYear

2009

fDate

24-26 Sept. 2009

Firstpage

1

Lastpage

3

Abstract

In this paper, a new form of the numerical dispersion relation of the alternating direction implicit finite difference time domain (ADI-FDTD) method for the 3D Maxwell equations is derived from the equivalent form of ADI-FDTD. It is shown that this new form is simpler than the original one and easy to be used to make further analysis. By comparison with the numerical dispersion relations of the Crank-Nicolson (CN) FDTD scheme and the FDTD scheme it is shown that the numerical dispersion relation of ADI-FDTD is much more closer to that of CN-FDTD than to that of FDTD. The relation between the new form and the original form of the numerical dispersion relation of ADI-FDTD is also given that they are equivalent to each other.

Keywords

Maxwell equations; finite difference time-domain analysis; 3D Maxwell´s equations; ADI-FDTD; Crank-Nicolson FDTD scheme; alternating direction implicit finite difference time domain method; numerical dispersion relation; Convergence of numerical methods; Dispersion; Finite difference methods; Maxwell equations; Stability; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Wireless Communications, Networking and Mobile Computing, 2009. WiCom '09. 5th International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-3692-7

Electronic_ISBN

978-1-4244-3693-4

Type

conf

DOI

10.1109/WICOM.2009.5303211

Filename

5303211