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Diaz-Fitzgerald time domain (D-FTD) technique applied to electromagnetic problems

A new approach for the solution of electromagnetic problems is presented and tested. The method is based of the discretization of Maxwell's equations, but it differs from the FDTD implementation in that it exploits a different scheme to model wave propagation. Vector and Scalar potential are used instead of the magnetic field, to propagate the electric field. This implementation provides a condensed node representation for the electric field, offers a natural way to treat interfaces, and allows modeling of Debye relaxation media, avoiding convolution. Additionally a mechanical analog can be devised.