Discrete Green´s functions for propagators between complex objects in discrete space-time nonlinear electromagnetics

We propose a potential-based form of the FDTD scheme, with potentials driven by sources that are themselves simple dynamical systems. This formulation admits a radiative boundary condition for the discrete-mesh Maxwell´s equations in a multiply connected exterior domain, which facilitates propagation of solutions on the mesh between distinct objects in which standard FDTD is applied .