Stroboscopic nonlinear dynamics: a time-independent theoretical framework
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arXiv
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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866912887688134656 |
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| author | Zhuang, Yuhui Li, Jiaxin Li, Haidong Li, Siyu Peng, Xiaobin Wu, Juan Zhang, Jiameng Fan, Mingjing Hu, Yi Xu, Jingjun |
| author_facet | Zhuang, Yuhui Li, Jiaxin Li, Haidong Li, Siyu Peng, Xiaobin Wu, Juan Zhang, Jiameng Fan, Mingjing Hu, Yi Xu, Jingjun |
| contents | Recent experiments have demonstrated the ability to manipulate nonlinear interactions via time modulation, giving rise to the so-called stroboscopic nonlinearity. To date, however, this phenomenon has not been subjected to a rigorous theoretical analysis. In this work, we elucidate the physical mechanism underlying stroboscopic nonlinear dynamics and establish an effective time-independent model under suitable modulation conditions. The proposed model almost exactly reproduces the full time-dependent dynamics in the quasi-steady state and significantly outperforms empirical descriptions used previously. Our results provide a clear physical picture of stroboscopic nonlinear dynamics and establish a general framework for engineering nonlinear interactions through temporal modulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07600 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stroboscopic nonlinear dynamics: a time-independent theoretical framework Zhuang, Yuhui Li, Jiaxin Li, Haidong Li, Siyu Peng, Xiaobin Wu, Juan Zhang, Jiameng Fan, Mingjing Hu, Yi Xu, Jingjun Optics Recent experiments have demonstrated the ability to manipulate nonlinear interactions via time modulation, giving rise to the so-called stroboscopic nonlinearity. To date, however, this phenomenon has not been subjected to a rigorous theoretical analysis. In this work, we elucidate the physical mechanism underlying stroboscopic nonlinear dynamics and establish an effective time-independent model under suitable modulation conditions. The proposed model almost exactly reproduces the full time-dependent dynamics in the quasi-steady state and significantly outperforms empirical descriptions used previously. Our results provide a clear physical picture of stroboscopic nonlinear dynamics and establish a general framework for engineering nonlinear interactions through temporal modulation. |
| title | Stroboscopic nonlinear dynamics: a time-independent theoretical framework |
| topic | Optics |
| url | https://arxiv.org/abs/2602.07600 |