Parametrically driven Kerr temporal soliton crystals
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915231616204800 |
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| author | Sun, Yifan Dupont, Clément Akakpo, Edem Kossi De Lucia, Francesco Semaan, Georges Gorza, Simon-Pierre Leo, François |
| author_facet | Sun, Yifan Dupont, Clément Akakpo, Edem Kossi De Lucia, Francesco Semaan, Georges Gorza, Simon-Pierre Leo, François |
| contents | We theoretically investigate the excitation, dynamics of parametrically driven soliton crystals and their resulting frequency combs in doubly resonant cavities with quadratic and cubic nonlinearities. We demonstrate that soliton crystal states act as strong attractors, where pump depletion and pump phase play crucial roles in their stabilization by ensuring equal soliton spacing and coherence. The number of solitons is primarily determined by driving strength. Additionally, we identify a novel nonlinear state in parametric soliton crystals in which circulating solitons periodically alternate their intensities and group velocities, a phenomenon we term the soliton-pursuing states. Furthermore, due to the phase-selective nature of the optical parametric process, we show how different configurations of soliton phases influence the optical frequency combs, which may enable generating odd harmonic combs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parametrically driven Kerr temporal soliton crystals Sun, Yifan Dupont, Clément Akakpo, Edem Kossi De Lucia, Francesco Semaan, Georges Gorza, Simon-Pierre Leo, François Optics Pattern Formation and Solitons We theoretically investigate the excitation, dynamics of parametrically driven soliton crystals and their resulting frequency combs in doubly resonant cavities with quadratic and cubic nonlinearities. We demonstrate that soliton crystal states act as strong attractors, where pump depletion and pump phase play crucial roles in their stabilization by ensuring equal soliton spacing and coherence. The number of solitons is primarily determined by driving strength. Additionally, we identify a novel nonlinear state in parametric soliton crystals in which circulating solitons periodically alternate their intensities and group velocities, a phenomenon we term the soliton-pursuing states. Furthermore, due to the phase-selective nature of the optical parametric process, we show how different configurations of soliton phases influence the optical frequency combs, which may enable generating odd harmonic combs. |
| title | Parametrically driven Kerr temporal soliton crystals |
| topic | Optics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2504.04788 |