Stroboscopic nonlinear dynamics: a time-independent theoretical framework

Fuente: arXiv
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Auteurs principaux: Zhuang, Yuhui, Li, Jiaxin, Li, Haidong, Li, Siyu, Peng, Xiaobin, Wu, Juan, Zhang, Jiameng, Fan, Mingjing, Hu, Yi, Xu, Jingjun
Format: Preprint
Publié: 2026
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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