English

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

Optics 2014-08-13 v2

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.

Keywords

Cite

@article{arxiv.1312.2488,
  title  = {Scalable numerical approach for the steady-state ab initio laser theory},
  author = {S. Esterhazy and D. Liu and M. Liertzer and A. Cerjan and L. Ge and K. G. Makris and A. D. Stone and J. M. Melenk and S. G. Johnson and S. Rotter},
  journal= {arXiv preprint arXiv:1312.2488},
  year   = {2014}
}

Comments

17 pages, 8 figures

R2 v1 2026-06-22T02:23:50.858Z