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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2018/9452540 |
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| _version_ | 1850169444698947584 |
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| author | Christoph Mahnke Alexander Hause Fedor Mitschke |
| author_facet | Christoph Mahnke Alexander Hause Fedor Mitschke |
| author_sort | Christoph Mahnke |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a1a4ae7a00ac4e3eb0947ecddb218edf |
| institution | OA Journals |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-a1a4ae7a00ac4e3eb0947ecddb218edf2025-08-20T02:20:44ZengWileyInternational Journal of Optics1687-93841687-93922018-01-01201810.1155/2018/94525409452540On the Creation of Solitons in Amplifying Optical FibersChristoph Mahnke0Alexander Hause1Fedor Mitschke2Institut für Physik, Universität Rostock, 18059 Rostock, GermanyInstitut für Physik, Universität Rostock, 18059 Rostock, GermanyInstitut für Physik, Universität Rostock, 18059 Rostock, GermanyWe 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.http://dx.doi.org/10.1155/2018/9452540 |
| spellingShingle | Christoph Mahnke Alexander Hause Fedor Mitschke On the Creation of Solitons in Amplifying Optical Fibers International Journal of Optics |
| title | On the Creation of Solitons in Amplifying Optical Fibers |
| title_full | On the Creation of Solitons in Amplifying Optical Fibers |
| title_fullStr | On the Creation of Solitons in Amplifying Optical Fibers |
| title_full_unstemmed | On the Creation of Solitons in Amplifying Optical Fibers |
| title_short | On the Creation of Solitons in Amplifying Optical Fibers |
| title_sort | on the creation of solitons in amplifying optical fibers |
| url | http://dx.doi.org/10.1155/2018/9452540 |
| work_keys_str_mv | AT christophmahnke onthecreationofsolitonsinamplifyingopticalfibers AT alexanderhause onthecreationofsolitonsinamplifyingopticalfibers AT fedormitschke onthecreationofsolitonsinamplifyingopticalfibers |