Concept of a Complex Envelope Faber Polynomial Approach for the Solution of Maxwell’s Equations

Abstract

We investigate a novel complex envelope approach for the numerical solution of Maxwell’s equations based on the expansion of the time domain propagator using Faber polynomials. Due to the application of the complex envelope only the envelope of the investigated fields has to be simulated. This offers promising prospects with respect to the application of larger time steps. The properties of the Faber polynomials enable a flexible and a highly accurate approximation of the time domain propagator what offers interesting prospects for the analysis of devices in the fields of THz technology and photonics.