Ultrashort nonautonomous similariton solutions and the cascade tunneling of interacting similaritons

OPTICS COMMUNICATIONS

卷:459

Article

Yang, Rongcao^1,2,3  Gao, Jie¹  Jia, Heping¹  Tian, Jinping^1,3  Christian, J. M.⁴ 

[1] Shanxi Univ, Sch Phys & Elect Engn, Taiyuan 030006, Peoples R China

[2] Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Taiyuan 030006, Peoples R China

[3] Chinese Acad Sci, State Key Lab Integrated Optoelect, Beijing 100083, Peoples R China

[4] Univ Salford, Sch Sci Engn & Environm, Joule Phys Lab, Manchester, England

关键词: Two-similariton;    Interaction;    Raman effect;    Harmonic potential;    Cascade tunneling;   

DOI  :  10.1016/j.optcom.2019.125025

来源: Elsevier

【 摘 要 】

Similarity transformation and Hirota bilinearization are deployed to derive exact bright and dark ultrashort one- and two-similariton solutions of a nonautonomous cubic-quintic nonlinear Schrodinger equation. Such wave packets may emerge when group-velocity dispersion and cubic-quintic self-phase modulations are balanced by Raman self-frequency shift in the presence of an external harmonic trap and linear gain or loss. The solutions presented here can be used to investigate the compression, amplification and interaction phenomena associated with bright and dark similaritons in inhomogeneous fiber systems. Furthermore, the dynamics of the characteristic parameters of the similaritons are studied analytically, and similariton stability in a distributed system is tested through extensive computations. As an example application, the tunneling behavior of bright and dark similaritons through cascade dispersion barriers and dispersion wells on an exponential background is investigated, and some interesting novel features are uncovered which are expected to facilitate the control of bright and dark ultrashort similariton in experimental scenarios.

【 授权许可】

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