Divergence of electric field or the two-dimensional (2-D) leapfrog ADI-FDTD method

Author

Gan, Theng Huat ; Tan, Eng Leong

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore

fYear

2012

fDate

8-14 July 2012

Firstpage

1

Lastpage

2

Abstract

This paper present the analysis for the divergence of electric field for the two-dimensional (2-D) transverse electric (TE) leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method. The divergence of electric field for the leapfrog ADI-FDTD method is analyzed by using the plane wave method for the dispersion relation but with additional steps to determine the homogeneous solutions. Numerical results for the divergence of electric field are presented. Unlike the conventional explicit FDTD method, the 2-D leapfrog ADI-FDTD method s not divergence free in a source free region.

Keywords

electric fields; finite difference time-domain analysis; 2D leapfrog ADI-FDTD method; 2D transverse electric leapfrog ADI-FDTD method; alternating-direction-implicit finite-difference time-domain method; conventional explicit FDTD method; dispersion relation; electric field divergence; homogeneous solutions; plane wave method; two-dimensional leapfrog ADI-FDTD method; Gallium nitride;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE

Conference_Location

Chicago, IL

ISSN

1522-3965

Print_ISBN

978-1-4673-0461-0

Type

conf

DOI

10.1109/APS.2012.6348749

Filename

6348749