Abstract

An elegant method of nonlinear Fourier transform (NFT) has attracted worldwide research interests and such NFT methodology provides a new viewpoint on the physics of laser dynamics. Recently, the use of the NFT has been proposed for the investigation of laser radiation, indicating the capability to characterize the ultrashort pulse in the nonlinear frequency domain. Here, pure solitons are numerically separated from the resonant continuous wave (CW) background in a fiber laser by utilizing NFT. It is identified that the soliton and the resonant CW background have different eigenvalue distributions in the nonlinear frequency domain. Similar to water distillation, we propose the approach of soliton distillation, by making NFT on a steady pulse generated from a fiber laser, then filtering out the eigenvalues of the resonant CW background in the nonlinear frequency domain, and finally recovering the soliton by inverse NFT (INFT). Simulation results verify that the soliton can be distinguished from the resonant CW background in the nonlinear frequency domain and pure solitons can be obtained by INFT.

Nonlinear Fourier transform enabled eigenvalue spectrum investigation for fiber laser radiation

Yutian Wang, Songnian Fu, Jian Kong, Andrey Komarov, Mariusz Klimczak, Ryszard Buczyński, Xiahui Tang, Ming Tang, Yuwen Qin, and Luming Zhao
Photon. Res. 9(8) 1531-1539 (2021)

Polarization dynamics of vector solitons in a fiber laser

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Linear optical sampling enabled soliton nonlinear frequency spectrum classification

Zhe Yu, Zhichao Wu, Yutian Wang, Huan He, Jingwen Li, Chaoyu Xu, Tianye Huang, Deming Liu, Luming Zhao, Yuwen Qin, and Songnian Fu
Opt. Express 30(18) 32381-32390 (2022)

Route from single-pulse to multi-pulse states in a mid-infrared soliton fiber laser

J. Huang, M. Pang, X. Jiang, W. He, and P. StJ. Russell
Opt. Express 27(19) 26392-26404 (2019)

Pulse energy exchange of vector solitons in a fiber laser

Yong Zhou, Xian Wang, Hao Liu, Shihao Tang, Zhiyu Xu, Xiaohui Ma, Wentan Fang, Xiaolin Chen, Song Huang, Wei Zhang, Li Li, and Weiqing Gao
Appl. Opt. 62(35) 9393-9398 (2023)