Scalable numerical approach for the steady-state ab initio laser theory
Final published version openly available at: http://hdl.handle.net/1721.1/88706
| Main Authors: | , , , , , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/89078 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-2312-8483 |
| _version_ | 1811096549319507968 |
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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 | Final published version openly available at: http://hdl.handle.net/1721.1/88706 |
| first_indexed | 2024-09-23T16:45:26Z |
| format | Article |
| id | mit-1721.1/89078 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:45:26Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/890782022-09-29T21:16:30Z 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 Liu, David Johnson, Steven G. Final published version openly available at: http://hdl.handle.net/1721.1/88706 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) 2014-08-28T12:57:20Z 2014-08-28T12:57:20Z 2014-08 2013-12 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/89078 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). https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-2312-8483 en_US http://dx.doi.org/10.1103/PhysRevA.90.023816 http://hdl.handle.net/1721.1/88706 Physical Review A Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Physical Society Liu |
| 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/1721.1/89078 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-2312-8483 |
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