Time-domain approach to Gaussian-convoluted dispersion models

Gauss and convoluted Lorentz-Gauss models make an important class of broadband dispersion formulations for optical materials with structural or molecular disorder, including glasses, polymers, phase change materials, metals. So far, this important class of dispersion models has been inaccessible for time-domain solvers. We suggest a framework to model Gauss-type dispersion in time domain with a given accuracy, based on our previous Generalized Dispersive Material (GDM) model. The new explicit closed-form formulation of Gauss-based models and provided code package give a new physical interpretation in terms of coupled oscillators while also providing an efficient way to its time domain implementation for transient or nonlinear analysis in custom and commercial software.