On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices Original Research Article

We investigate the Jacobi–Davidson algorithm for solving the time-harmonic Maxwell equation in axisymmetric vertical cavity surface emitting lasers (VCSELs). We compare various strategies in the extraction and extension phase of the algorithm and discuss their properties with complex-symmetric eigenvalue problems obtained from PML encoated resonator cavities.