Fully vectorial laser resonator modeling by vector extrapolation methods

摘要

The optimization of multi-parameter resonators requires flexible simulation techniques beyond the scalar approximation. Therefore we generalize the scalar Fox and Li algorithm for the transversal eigenmode calculation to a fully vectorial model. This modified eigenvalue problem is solved by two polynomial-type vector extrapolation methods, namely the minimal polynomial extrapolation and the reduced rank extrapolation. Compared to other eigenvalue solvers these techniques can also be applied to resonators including nonlinear components. As an example we show the calculation of an azimuthally polarized eigenmode emitted by a resonator containing a discontinuous phase element and a nonlinear active medium. The simulation is verified by experiments.