Efficient computation of coherent multimode instabilities in lasers using a spectral approach
Coherent multimode instabilities are responsible for several phenomena of recent interest in semiconductor lasers, such as the generation of frequency combs and ultrashort pulses. These techonologies have proven disruptive in optical telecommunications and spectroscopy applications. While the standa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad08f1 |
| _version_ | 1797561727742640128 |
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| author | Sara Kacmoli Saeed A Khan Claire F Gmachl Hakan E Türeci |
| author_facet | Sara Kacmoli Saeed A Khan Claire F Gmachl Hakan E Türeci |
| author_sort | Sara Kacmoli |
| collection | DOAJ |
| description | Coherent multimode instabilities are responsible for several phenomena of recent interest in semiconductor lasers, such as the generation of frequency combs and ultrashort pulses. These techonologies have proven disruptive in optical telecommunications and spectroscopy applications. While the standard Maxwell-Bloch equations (MBEs) encompass such complex lasing phenomena, their integration is computationally expensive and offers limited analytical insight. In this paper, we demonstrate an efficient spectral approach to the simulation of multimode instabilities via a quantitative analysis of the instability of single-frequency lasing in ring lasers, referred to as the Lorenz-Haken (LH) instability or the RNGH instability in distinct parameter regimes. Our approach, referred to as CFTD, uses generally non-Hermitian Constant Flux modes to obtain projected Time Domain equations. CFTD provides excellent agreement with finite-difference integration of the MBEs across a wide range of parameters in regimes of non-stationary inversion, including frequency comb formation and spatiotemporal chaos. We also develop a modal linear stability analysis using CFTD to efficiently predict multimode instabilities in lasers. The combination of numerical accuracy, speedup, and semi-analytic insight across a variety of dynamical regimes make the CFTD approach ideal to analyze multimode instabilities in lasers, especially in more complex geometries or coupled laser arrays. |
| first_indexed | 2024-03-10T18:18:49Z |
| format | Article |
| id | doaj.art-62b1bcf99f6444a8b424bc086bc99fee |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-10T18:18:49Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-62b1bcf99f6444a8b424bc086bc99fee2023-11-20T07:30:11ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111303010.1088/1367-2630/ad08f1Efficient computation of coherent multimode instabilities in lasers using a spectral approachSara Kacmoli0Saeed A Khan1Claire F Gmachl2Hakan E Türeci3Department of Electrical and Computer Engineering , Princeton University, Princeton, NJ 08544, United States of AmericaDepartment of Electrical and Computer Engineering , Princeton University, Princeton, NJ 08544, United States of AmericaDepartment of Electrical and Computer Engineering , Princeton University, Princeton, NJ 08544, United States of AmericaDepartment of Electrical and Computer Engineering , Princeton University, Princeton, NJ 08544, United States of AmericaCoherent multimode instabilities are responsible for several phenomena of recent interest in semiconductor lasers, such as the generation of frequency combs and ultrashort pulses. These techonologies have proven disruptive in optical telecommunications and spectroscopy applications. While the standard Maxwell-Bloch equations (MBEs) encompass such complex lasing phenomena, their integration is computationally expensive and offers limited analytical insight. In this paper, we demonstrate an efficient spectral approach to the simulation of multimode instabilities via a quantitative analysis of the instability of single-frequency lasing in ring lasers, referred to as the Lorenz-Haken (LH) instability or the RNGH instability in distinct parameter regimes. Our approach, referred to as CFTD, uses generally non-Hermitian Constant Flux modes to obtain projected Time Domain equations. CFTD provides excellent agreement with finite-difference integration of the MBEs across a wide range of parameters in regimes of non-stationary inversion, including frequency comb formation and spatiotemporal chaos. We also develop a modal linear stability analysis using CFTD to efficiently predict multimode instabilities in lasers. The combination of numerical accuracy, speedup, and semi-analytic insight across a variety of dynamical regimes make the CFTD approach ideal to analyze multimode instabilities in lasers, especially in more complex geometries or coupled laser arrays.https://doi.org/10.1088/1367-2630/ad08f1laserscoherent instabilitiesfrequency combsspectral method |
| spellingShingle | Sara Kacmoli Saeed A Khan Claire F Gmachl Hakan E Türeci Efficient computation of coherent multimode instabilities in lasers using a spectral approach New Journal of Physics lasers coherent instabilities frequency combs spectral method |
| title | Efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| title_full | Efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| title_fullStr | Efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| title_full_unstemmed | Efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| title_short | Efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| title_sort | efficient computation of coherent multimode instabilities in lasers using a spectral approach |
| topic | lasers coherent instabilities frequency combs spectral method |
| url | https://doi.org/10.1088/1367-2630/ad08f1 |
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