Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects
Thermal effects are ubiquitous in high-quality resonators and microcomb-based high precision measurements. We present a stability analysis of the thermodynamics in a driven Kerr microresonator theoretically and numerically, using the thermal Lugiato-Lefever model. We analyze the spatial bifurcation...
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| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/10447026/ |
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| author | Qinglin Fang Haojie Xia Mingjie Jiao Feifan Xu Xueying Jin |
| author_facet | Qinglin Fang Haojie Xia Mingjie Jiao Feifan Xu Xueying Jin |
| author_sort | Qinglin Fang |
| collection | DOAJ |
| description | Thermal effects are ubiquitous in high-quality resonators and microcomb-based high precision measurements. We present a stability analysis of the thermodynamics in a driven Kerr microresonator theoretically and numerically, using the thermal Lugiato-Lefever model. We analyze the spatial bifurcation structure and existence range of stationary states depending on the thermal parameters. Our study shows that, the thermal effect causes the original bifurcation structure to change from Hamiltonian-Hopf bifurcation to Belyakov-Devaney bifurcation. In addition, a stability map of various stationary regions in the parameter space of cavity detuning and the pump power is achieved through numerical simulations of thermal Lugiato–Lefever equation, and we propose a deterministic route to obtain the stable cavity soliton state avoiding the chaotic and unstable regions under the influence of thermal effects. Our approach has potential value for obtaining stable solitary Kerr comb sources under practical conditions. |
| format | Article |
| id | doaj-art-53231a15b3e049b58ed9decbc1cd5688 |
| institution | OA Journals |
| issn | 1943-0655 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-53231a15b3e049b58ed9decbc1cd56882025-08-20T02:38:36ZengIEEEIEEE Photonics Journal1943-06552024-01-0116211110.1109/JPHOT.2024.337017910447026Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear EffectsQinglin Fang0https://orcid.org/0009-0008-0326-928XHaojie Xia1https://orcid.org/0000-0002-4214-7233Mingjie Jiao2https://orcid.org/0009-0009-2287-3412Feifan Xu3https://orcid.org/0009-0003-3634-0015Xueying Jin4https://orcid.org/0000-0002-0784-7285Anhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei, ChinaAnhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei, ChinaAnhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei, ChinaAnhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei, ChinaAnhui Province Key Laboratory of Measuring Theory and Precision Instrument, School of Instrument Science and Optoelectronics Engineering, Hefei University of Technology, Hefei, ChinaThermal effects are ubiquitous in high-quality resonators and microcomb-based high precision measurements. We present a stability analysis of the thermodynamics in a driven Kerr microresonator theoretically and numerically, using the thermal Lugiato-Lefever model. We analyze the spatial bifurcation structure and existence range of stationary states depending on the thermal parameters. Our study shows that, the thermal effect causes the original bifurcation structure to change from Hamiltonian-Hopf bifurcation to Belyakov-Devaney bifurcation. In addition, a stability map of various stationary regions in the parameter space of cavity detuning and the pump power is achieved through numerical simulations of thermal Lugiato–Lefever equation, and we propose a deterministic route to obtain the stable cavity soliton state avoiding the chaotic and unstable regions under the influence of thermal effects. Our approach has potential value for obtaining stable solitary Kerr comb sources under practical conditions.https://ieeexplore.ieee.org/document/10447026/Dynamics processoptical frequency combthermal effectsstable soliton |
| spellingShingle | Qinglin Fang Haojie Xia Mingjie Jiao Feifan Xu Xueying Jin Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects IEEE Photonics Journal Dynamics process optical frequency comb thermal effects stable soliton |
| title | Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects |
| title_full | Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects |
| title_fullStr | Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects |
| title_full_unstemmed | Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects |
| title_short | Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects |
| title_sort | stability analysis of localized states and deterministic single soliton generation in a kerr microresonator under thermo optic nonlinear effects |
| topic | Dynamics process optical frequency comb thermal effects stable soliton |
| url | https://ieeexplore.ieee.org/document/10447026/ |
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