Is single-mode lasing possible in an infinite periodic system?
In this Letter, we present a rigorous method to study the stability of periodic lasing systems. In a linear model, the presence of a continuum of modes (with arbitrarily close lasing thresholds) gives the impression that stable single-mode lasing cannot be maintained in the limit of an infinite syst...
| Main Authors: | , , |
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| Format: | Article |
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AIP Publishing
2020
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| Online Access: | https://hdl.handle.net/1721.1/126497 |
| _version_ | 1826206766286766080 |
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| author | Benzaouia, Mohammed Cerjan, Alexander Johnson, Steven G |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Benzaouia, Mohammed Cerjan, Alexander Johnson, Steven G |
| author_sort | Benzaouia, Mohammed |
| collection | MIT |
| description | In this Letter, we present a rigorous method to study the stability of periodic lasing systems. In a linear model, the presence of a continuum of modes (with arbitrarily close lasing thresholds) gives the impression that stable single-mode lasing cannot be maintained in the limit of an infinite system. However, we show that nonlinear effects of the Maxwell–Bloch equations can lead to stable systems near threshold given a simple stability condition on the sign of the laser detuning compared to the band curvature. We examine band edge (1D) and bound-in-continuum (2D) lasing modes and validate our stability results against time-domain simulations. |
| first_indexed | 2024-09-23T13:37:55Z |
| format | Article |
| id | mit-1721.1/126497 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:37:55Z |
| publishDate | 2020 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1264972022-10-01T16:11:44Z Is single-mode lasing possible in an infinite periodic system? Benzaouia, Mohammed Cerjan, Alexander Johnson, Steven G Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mathematics Benzaouia, Mohammed In this Letter, we present a rigorous method to study the stability of periodic lasing systems. In a linear model, the presence of a continuum of modes (with arbitrarily close lasing thresholds) gives the impression that stable single-mode lasing cannot be maintained in the limit of an infinite system. However, we show that nonlinear effects of the Maxwell–Bloch equations can lead to stable systems near threshold given a simple stability condition on the sign of the laser detuning compared to the band curvature. We examine band edge (1D) and bound-in-continuum (2D) lasing modes and validate our stability results against time-domain simulations. Institute for Soldier Nanotechnologies (Award W911NF-18-2-0048) 2020-08-06T20:18:45Z 2020-08-06T20:18:45Z 2020-08 Article http://purl.org/eprint/type/JournalArticle 0003-6951 1077-3118 https://hdl.handle.net/1721.1/126497 Benzaouia, Mohammed et al. "Is single-mode lasing possible in an infinite periodic system?." Applied Physics Letters 117, 5 (August 2020): 051102 http://dx.doi.org/10.1063/5.0019353 Applied Physics Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf AIP Publishing Mohammed Benzaouia |
| spellingShingle | Benzaouia, Mohammed Cerjan, Alexander Johnson, Steven G Is single-mode lasing possible in an infinite periodic system? |
| title | Is single-mode lasing possible in an infinite periodic system? |
| title_full | Is single-mode lasing possible in an infinite periodic system? |
| title_fullStr | Is single-mode lasing possible in an infinite periodic system? |
| title_full_unstemmed | Is single-mode lasing possible in an infinite periodic system? |
| title_short | Is single-mode lasing possible in an infinite periodic system? |
| title_sort | is single mode lasing possible in an infinite periodic system |
| url | https://hdl.handle.net/1721.1/126497 |
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