Maxwell equation solver for plasma simulations based on mixed potential formulation

New algorithms for solving Maxwell's equations written in their mixed potential form are presented. Numerical solutions to Maxwell's equations are traditionally obtained using the finite difference time domain method, or the method of moments. Although these methods are successful in obtaining accurate solutions for problems on rectangular grids, they have inherent limitations when applied to non-orthogonal grids, specially of the type used in computational fluid dynamics applications. Two methods, the first based on finite volume schemes for hyperbolic conservation laws, and the second based on a finite difference scheme which gives a third order accurate spatial and second order accurate temporal algorithm are presented. Results to show that our algorithm perform well when compared to analytical solutions are shown. It is also shown that the algorithms handle the difficult case of absorbing boundary condition correctly.