Time-domain modeling of metal-dielectric nanostructures characterized by a set of single-pole dispersion terms

We study a general critical points dispersion model that gives a systematic approach to time-domain modeling of dispersive dielectric functions including the classical Drude, Lorentz, Sellmeier and critical points models. The approach is implemented using an auxiliary differential equation method and a number of recursive convolution formulations embedded in finite-difference, finite-volume, and finite-element time-domain solvers. Comparisons of simulated reflection-transmission spectra of plasmonic nanostructures are presented.