Title :
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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4673-0461-0
DOI :
10.1109/APS.2012.6348749
