On the Creation of Solitons in Amplifying Optical Fibers

We treat the creation of solitons in amplifying fibers. Strictly speaking, solitons are objects in an integrable setting while in real-world systems loss and gain break integrability. That case usually has been treated in the perturbation limit of low loss or gain. In a recent approach fiber-optic s...

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Bibliographic Details
Main Authors: Christoph Mahnke, Alexander Hause, Fedor Mitschke
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2018/9452540
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Summary:We treat the creation of solitons in amplifying fibers. Strictly speaking, solitons are objects in an integrable setting while in real-world systems loss and gain break integrability. That case usually has been treated in the perturbation limit of low loss or gain. In a recent approach fiber-optic solitons were described beyond that limit, so that it became possible to specify how and where solitons are eventually destroyed. Here we treat the opposite case: in the presence of gain, new solitons can arise from an initially weak pulse. We find conditions for that to happen for both localized and distributed gain, with no restriction to small gain. By tracing the energy budget we show that even when another soliton is already present and copropagates, a newly created soliton takes its energy from radiation only. Our results may find applications in amplified transmission lines or in fiber lasers.
ISSN:1687-9384
1687-9392