Optimally accurate second-order time-domain finite difference scheme for electromagnetic wave modeling: two-dimensional case

We previously presented a novel optimally accurate second-order time-domain Finite Difference Modified method for the one-dimensional case. In this paper we extend that approach to the two-dimensional case. Numerical dispersion is reduced by a factor of 30-40 compared to standard numerical techniques like the finite-difference time-domain and the finite integration technique. The finite difference modified is of particular interest in the modeling of large scale wave propagation and scattering problems, where other standard numerical methods suffer strongly from numerical dispersion effects