Locally tensor conformal FDTD method for modeling arbitrary dielectric surfaces

Interfacial Numerical Dispersion and New Conformal FDTD Method

“…Of course all above discussions are main in theoretical manner and it can be verified by some numerical experiments. The results may be similar with [14], i.e. the simulation of rotated problem should has good agreement with the coincidence problem as reference solution.…”

Perturbation theory for anisotropic dielectric interfaces, and application to subpixel smoothing of discretized numerical methods

“…At an interface between two isotropic dielectric materials, the first-order perturbation is given by eq. ( 2), and this leads to an anisotropic smoothing: one averages ε −1 for field components perpendicular to the interface, and averages ε for field components parallel to the interface, a result that had previously been proposed heuristically by several authors [6,13,29].…”

FDTD subcell graphene model beyond the thin-film approximation

“…In this approach, the graphene sheet may be regarded as such an interface, introducing additional dispersion along the surface directions. Following the notation from [13], the effective inverse dielectric permittivity tensor has the following form [17,18,19,20]:…”