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
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American Physical Society
2014
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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 |
first_indexed | 2024-09-23T15:01:41Z |
format | Article |
id | mit-1721.1/88706 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T15:01:41Z |
publishDate | 2014 |
publisher | American Physical Society |
record_format | dspace |
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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