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The polarization density of a broadband electrodynamic lattice-Boltzmannmethod (ELBM) is generalized to represent frequency-dispersion of materialsinteracting with electromagnetic waves. The frequency-dependent refractiveindex and extinction coefficient are modeled using complex-conjugatepole-residue pairs in an auxiliary-differential-equation (ADE). Electric andmagnetic fields are evaluated on a single lattice, ensuring a stable numericalsolution up to the Nyquist limit. The electric and magnetic fields from theELBM are compared with the electric and magnetic fields from thefinite-difference-time-domain (FDTD) method. Accurate transmittance of a 100 nmsilver slab is extracted from the transmitted power spectrum of a broadbandDirac-delta wave-function for photon energies ranging from 0.125-5 eV. Giventhis capability, the ELBM with an ADE is an accurate and computationallyefficient method for modeling broadband frequency-dispersion of materials.

Modeling dispersive silver in the electrodynamic lattice-Boltzmann method using complex-conjugate pole-residue pairs