A Dissipation Theory for Potentials-Based FDTD for Lossless Inhomogeneous Media

A dissipation theory is proposed for the potentials-based FDTD algorithm case of inhomogeneous lossless media. We show that under Courant-Friedrichs-Lewy (CFL) limit, equations describing time evolution scalar and vector potentials can be seen as a system. The developed provides insights into how electromagnetic energy power flow are approximated in schemes. It also used to create new algorithms with guaranteed stability.