{"title":"Experimental observation of multi-scale spatio-temporal structures with dark solitons embedded in a dissipative soliton","authors":"Dian Duan , Sergei Turitsyn , Xuewen Shu","doi":"10.1016/j.chaos.2024.115968","DOIUrl":null,"url":null,"abstract":"<div><div>The pulse embedded with dark solitons is theoretically predicted to be a transient state in the build-up dynamics or in the exploding pulsation of the bright dissipative soliton. Here, we observe experimentally a multi-scale spatio-temporal structure of the bright pulse ingrained with dark solitons with variable group velocities. The bright pulse with duration in the nanosecond range can coexist with dark solitons with durations in the picosecond range or longer. This allows for direct observation of the evolution of dark solitons in the time domain using a high-speed real-time oscilloscope. The lifetime and number of emerging dark solitons is demonstrated to be related to the pumping power and cavity net dispersion. Our study reveals that the amplifier noise and nonlinearity are the sources of dark solitons embedded in the bright dissipative soliton.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 115968"},"PeriodicalIF":5.6000,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077924015200","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
The pulse embedded with dark solitons is theoretically predicted to be a transient state in the build-up dynamics or in the exploding pulsation of the bright dissipative soliton. Here, we observe experimentally a multi-scale spatio-temporal structure of the bright pulse ingrained with dark solitons with variable group velocities. The bright pulse with duration in the nanosecond range can coexist with dark solitons with durations in the picosecond range or longer. This allows for direct observation of the evolution of dark solitons in the time domain using a high-speed real-time oscilloscope. The lifetime and number of emerging dark solitons is demonstrated to be related to the pumping power and cavity net dispersion. Our study reveals that the amplifier noise and nonlinearity are the sources of dark solitons embedded in the bright dissipative soliton.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.