Modeling frequency-dependent dispersion in a one-dimensional electrodynamic lattice-Boltzmann method

The electrodynamic lattice-Boltzmann method has exhibited superior accuracy to the finite-difference time-domain method in free-space and uniform non-dispersive media. However, few studies have adapted the lattice-Boltzmann method to model dispersive media, and their frequency-dependent dispersion of electromagnetic waves. In this letter, we implement an auxiliary differential equation in the electrodynamic lattice-Boltzmann method to model the refractive index and extinction coefficient of silver. The method uses a single simulation to represent the broad transmittivity spectrum of a silver slab with second-order accuracy.