Abstract
This paper present the analysis for the divergence of electric 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.
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