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

Author's final manuscript version available at: http://hdl.handle.net/1721.1/89078

Bibliographic Details
Main Authors: Esterhazy, S., Liertzer, M., Cerjan, A., Ge, L., Makris, K. G., Stone, A. D., Melenk, J. M., Rotter, S., Liu, David, Johnson, Steven G.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/1721.1/88706
https://orcid.org/0000-0001-7327-4967
https://orcid.org/0000-0002-2312-8483
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author Esterhazy, S.
Liertzer, M.
Cerjan, A.
Ge, L.
Makris, K. G.
Stone, A. D.
Melenk, J. M.
Rotter, S.
Liu, David
Johnson, Steven G.
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Esterhazy, S.
Liertzer, M.
Cerjan, A.
Ge, L.
Makris, K. G.
Stone, A. D.
Melenk, J. M.
Rotter, S.
Liu, David
Johnson, Steven G.
author_sort Esterhazy, S.
collection MIT
description Author's final manuscript version available at: http://hdl.handle.net/1721.1/89078
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spelling mit-1721.1/887062022-09-29T12:07:13Z Scalable numerical approach for the steady-state ab initio laser theory Esterhazy, S. Liertzer, M. Cerjan, A. Ge, L. Makris, K. G. Stone, A. D. Melenk, J. M. Rotter, S. Liu, David Johnson, Steven G. Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Liu, David Johnson, Steven G. Author's final manuscript version available at: http://hdl.handle.net/1721.1/89078 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. United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Grant FA9550-09-1-0704) Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Grant W911NF-07-D-0004) 2014-08-15T13:40:16Z 2014-08-15T13:40:16Z 2014-08 2013-12 2014-08-11T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88706 Esterhazy, S., et al. "Scalable numerical approach for the steady-state ab initio laser theory." Phys. Rev. A 90, 023816 (August 2014). © 2014 American Physical Society https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-2312-8483 en http://dx.doi.org/10.1103/PhysRevA.90.023816 http://hdl.handle.net/1721.1/89078 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Esterhazy, S.
Liertzer, M.
Cerjan, A.
Ge, L.
Makris, K. G.
Stone, A. D.
Melenk, J. M.
Rotter, S.
Liu, David
Johnson, Steven G.
Scalable numerical approach for the steady-state ab initio laser theory
title Scalable numerical approach for the steady-state ab initio laser theory
title_full Scalable numerical approach for the steady-state ab initio laser theory
title_fullStr Scalable numerical approach for the steady-state ab initio laser theory
title_full_unstemmed Scalable numerical approach for the steady-state ab initio laser theory
title_short Scalable numerical approach for the steady-state ab initio laser theory
title_sort scalable numerical approach for the steady state ab initio laser theory
url http://hdl.handle.net/1721.1/88706
https://orcid.org/0000-0001-7327-4967
https://orcid.org/0000-0002-2312-8483
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