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

摘要

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.