Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media

Simulation of electromagnetic and optical wave propagation in, e.g. water, fog or dielectric waveguides requires modeling of linear, temporally dispersive media. Using a POD-greedy sampling driven by an error indicator, we seek to generate a reduced model which accurately captures the dynamics. Typically, the reduced basis model reduction reduces the model order by a factor of more than 100, while maintaining an approximation error of less than 1%.