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arXiv · 1312.2488

Scalable numerical approach for the steady-state ab initio laser theory

S. Esterhazy·D. Liu·M. Liertzer·A. Cerjan·L. Ge·K. G. Makris·A. D. Stone·J. M. Melenk·S. G. Johnson·S. Rotter
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Abstract

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.

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S. Esterhazy, D. Liu, M. Liertzer, A. Cerjan, L. Ge, K. G. Makris, A. D. Stone, J. M. Melenk, S. G. Johnson, S. Rotter. 2014-08-07. Scalable numerical approach for the steady-state ab initio laser theory. https://doi.org/10.1103/physreva.90.023816

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