Scalable numerical approach for the steady-state ab initio laser theory
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Liu_Scalable numerical.pdf
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Author(s)
Esterhazy, S.
Liertzer, M.
Cerjan, A.
Ge, L.
Makris, K. G.
Stone, A. D.
Melenk, J. M.
Rotter, S.
Liu, David
Johnson, Steven G.
Date Issued
August 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Esterhazy, S., D. Liu, M. Liertzer, A. Cerjan, L. Ge, K. G. Makris, A. D. Stone, J. M. Melenk, S. G. Johnson, and S. Rotter. “Scalable Numerical Approach for the Steady-State Ab Initio Laser Theory.” Phys. Rev. A 90, no. 2 (August 2014).
Version
Author's final manuscript
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 microlasers which were previously inaccessible.
Description
Final published version openly available at: http://hdl.handle.net/1721.1/88706
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://hdl.handle.net/1721.1/88706
https://doi.org/10.1103/PhysRevA.90.023816
https://hdl.handle.net/1721.1/88706
