A novel subgriding scheme for arbitrarily dispersive thin-layer modeling

In this work, we present a novel hybrid implicit-explicit algorithm, based on a subgridding boundary condition (SGBC) technique, for the simulation of arbitrarily dispersive thin layers in FDTD. To overcome a reduction of the usual FDTD time step, a Crank-Nicolson scheme is used to model the propagation in a bulk media with equivalent effective parameters. An analytical procedure allowing to convert arbitrary S-parameters to an equivalent effective media is provided making this method able to model any kind of thin layer. Numerical validations of the algorithm are also presented.