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S. Esterhazy, D. Liu, M. Liertzer, A. Cerjan, L. Ge, K. Makris, A. Stone, J. Melenk, S. Johnson, S. Rotter:
"A scalable numerical approach for the Steady-State Ab-Initio Laser Theory";
in: "ASC Report 40/2013", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2013, ISBN: 978-3-902627-06-3, 1 - 16.

We present an e cient and exible method for solving the non-linear lasing equations of the steady-state ab-initio laser theory. Unlike previous techniques, we solve the underlying system of
partial di erential equations directly, without the need of setting up a parametrized basis of constant flux states. We validate our approach in one-dimensional as well as in cylindrical systems, and
demonstrate its scalability to full-vector three-dimensional calculations in photonic-crystal slabs. Our approach paves the way for e cient and accurate simulations of lasing structures which were
previously inaccessible.

http://www.asc.tuwien.ac.at/preprint/2013/asc40x2013.pdf