Desynchronization of temporal solitons in Kerr cavities with pulsed injection
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916217442271232 |
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| author | Dolinina, D. A. Huyet, G. Turaev, D. Vladimirov, A. G. |
| author_facet | Dolinina, D. A. Huyet, G. Turaev, D. Vladimirov, A. G. |
| contents | A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato-Lefever equation. The results suggest that desynchronization typically occurs through an Andronov-Hopf bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Desynchronization of temporal solitons in Kerr cavities with pulsed injection Dolinina, D. A. Huyet, G. Turaev, D. Vladimirov, A. G. Optics Pattern Formation and Solitons A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato-Lefever equation. The results suggest that desynchronization typically occurs through an Andronov-Hopf bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed. |
| title | Desynchronization of temporal solitons in Kerr cavities with pulsed injection |
| topic | Optics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2404.14113 |