On the divergence properties of the new efficiency-improved divergence preserved ADI-FDTD method

In this paper, the new efficiency-improved divergence preserved ADI-FDTD method and its divergence property is presented. The efficiency-improved method is analytically proven to retain the expected divergence-free property while having approximately 41.7% fewer floating point operation counts in comparison with the original divergence-preserved ADI-FDTD method. Numerical example is provided to verify the theoretical proof. This work complements the theoretical foundation around the new efficiency-improved unconditionally stable ADI-FDTD method useful for modeling spatially highly resolved regions.