Spatiotemporal evolution of continuous-wave field and dark soliton formation in a microcavity with normal dispersion

Stable dark soliton and dark pulse formation in normally dispersive and red-detuned microcavities are investigated by numerically solving the normalized Lugiato-Lefever equation. The soliton essence is proved by fitting the calculated field intensity profile with the analytical formula of a dark sol...

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Published inChinese physics B Vol. 26; no. 7; pp. 167 - 172
Main Author 胡晓鸿 张伟 刘元山 冯野 张文富 王擂然 王屹山 赵卫
Format Journal Article
LanguageEnglish
Published 01.06.2017
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Summary:Stable dark soliton and dark pulse formation in normally dispersive and red-detuned microcavities are investigated by numerically solving the normalized Lugiato-Lefever equation. The soliton essence is proved by fitting the calculated field intensity profile with the analytical formula of a dark soliton. Meanwhile, we find that a dark soliton can be generated either from the nonlinear evolution of an optical shock wave or narrowing of a locally broad dark pulse with smoother fronts. Explicit analytical expression is obtained to describe the oscillatory fronts of the optical shock wave. Furthermore,from the calculation results, we show that for smaller frequency detunings, e.g., α 3, in addition to the dark soliton formation, a single dark pulse with an oscillatory dip can also arise and propagate stably in the microcavity under proper pump detuning and pump strength combination. The existence region together with various field intensity profiles and the corresponding spectra of single dark pulse are demonstrated.
Bibliography:Stable dark soliton and dark pulse formation in normally dispersive and red-detuned microcavities are investigated by numerically solving the normalized Lugiato-Lefever equation. The soliton essence is proved by fitting the calculated field intensity profile with the analytical formula of a dark soliton. Meanwhile, we find that a dark soliton can be generated either from the nonlinear evolution of an optical shock wave or narrowing of a locally broad dark pulse with smoother fronts. Explicit analytical expression is obtained to describe the oscillatory fronts of the optical shock wave. Furthermore,from the calculation results, we show that for smaller frequency detunings, e.g., α 3, in addition to the dark soliton formation, a single dark pulse with an oscillatory dip can also arise and propagate stably in the microcavity under proper pump detuning and pump strength combination. The existence region together with various field intensity profiles and the corresponding spectra of single dark pulse are demonstrated.
Xiaohong Hu1,2,3,Wei Zhang1,Yuanshan Liu1,Ye Feng1,Wenfu Zhang1,Leiran Wang1,Yishan Wang1,3,Wei Zhao1,3( 1 State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics Chinese Academy of Sciences, Xi' an 710119, China ;2 University of Chinese Academy of Sciences, Beijing 100049, China ; 3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China)
pulse propagation; temporal solitons; microcavities; nonlinear optics
11-5639/O4
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/26/7/074216