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

Authors:
Peter Arbenz;Oscar Chinellato
Affiliations:
Department of Computer Science, ETH Zurich, 8092 Zurich, Switzerland;Department of Computer Science, ETH Zurich, 8092 Zurich, Switzerland
Venue:
Applied Numerical Mathematics
Year:
2008

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Abstract

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.