%0 Journal Article
%T Scalable numerical approach for the steady-state ab initio laser theory
%A S. Esterhazy
%A D. Liu
%A M. Liertzer
%A A. Cerjan
%A L. Ge
%A K. G. Makris
%A A. D. Stone
%A J. M. Melenk
%A S. G. Johnson
%A S. Rotter
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevA.90.023816
%X We present an efficient and flexible method for solving the non-linear lasing equations of the steady-state ab initio laser theory. Our strategy is to solve the underlying system of partial differential equations directly, without the need of setting up a parametrized basis of constant flux states. We validate this 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 method paves the way for efficient and accurate simulations of lasing structures which were previously inaccessible.
%U http://arxiv.org/abs/1312.2488v2