Optical Peregrine rogue waves of self-induced transparency in a resonant erbium-doped fiber

Year: 2017

Authors: Chen SH., Ye YL., Baronio F., Liu Y., Cai XM., Grelu, P

Autors Affiliation: Southeast Univ, Dept Phys, Nanjing 211189, Jiangsu, Peoples R China; Univ Brescia, INO CNR, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; Univ Shanghai Sci & Technol, Shanghai Key Lab Modern Opt Syst, 516 Jungong Rd, Shanghai 200093, Peoples R China; Univ Bourgogne Franche Comte, Lab Interdisciplinaire Carnot Bourgogne, UMR 6303, CNRS, 9 Ave A Savary, F-21078 Dijon, France.

Abstract: The resonant interaction of an optical field with two-level doping ions in a cryogenic optical fiber is investigated within the framework of nonlinear Schrodinger and Maxwell-Bloch equations. We present explicit fundamental rational rogue wave solutions in the context of self-induced transparency for the coupled optical and matter waves. It is exhibited that the optical wave component always features a typical Peregrine-like structure, while the matter waves involve more complicated yet spatiotemporally balanced amplitude distribution. The existence and stability of these rogue waves is then confirmed by numerical simulations, and they are shown to be excited amid the onset of modulation instability. These solutions can also be extended, using the same analytical framework, to include higher-order dispersive and nonlinear effects, highlighting their universality. (C) 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Journal/Review: OPTICS EXPRESS

Volume: 25 (24)      Pages from: 29687  to: 29698

More Information: National Natural Science Foundation of China (NSFC) (11174050, 11474051); Horizon 2020 Framework Programme (740355); IFCPAR/CEFIPRA (5104-2); Program for Professor of Special Appointment at Shanghai Institutions of Higher Learning (TP2014046).
KeyWords: 3-wave Interactions; Soliton; Transformation; Instabilities; Equations; Light
DOI: 10.1364/OE.25.029687

Citations: 22
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