FDTD on a Lebedev grid for improved material modelling

The Lebedev grid is proposed for the finite difference time domain method and compared to existing Yee grid methods. Techniques for deriving the update equations at perfect electric conductors and the intersection of two materials are presented. Results of a dispersion analysis are given. A numerical example illustrates that the Lebedev grid exhibits worse dispersion error in an equal memory comparison, but better represents material interfaces. It is also found that the Lebedev grid uses a smaller stencil in anisotropic media than Yee grid based methods.