High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers

We continue the development of high-order accurate thin layer approximations for time-domain electromagnetics and focus in this paper on thin transmission layers. The thin transmission layer approximations are valid for general isotropic materials and certain classes of anisotropic materials. The models also allow the inclusion of smoothly curved layers. Both dielectric and magnetic materials can be considered. These models are non-trivial and we discuss their formulation, properties, and implementation in the context of discontinuous Galerkin methods which emerge as being particularly well suited for this family o f models. The range of validity, accuracy, and stability of the resulting schemes is demonstrated through oneand two-dimensional examples.