A new vision of numerical methods for the solution of Maxwell´s equations related to the FD-TD method; application to general anisotropic media

Some proposals of numerical methods of solution of Maxwell´s equations have appeared in which different meshes and orders of approximation have been used. The relation between finite difference and finite volume has also been pointed out. In this paper a complementary point of view is proposed by the use of the general Stokes´ theorem to express Faraday´s and Ampere´s laws as volume-surface equations. Isotropic materials are treated first, then an application to anisotropic media is introduced through an example