Nonlinear Fourier transform assisted high-order soliton characterization
Nonlinear Fourier transform (NFT), based on the nonlinear Schrödinger equation, is implemented for the description of soliton propagation, and in particular focused on propagation of high-order solitons. In nonlinear frequency domain, a high-order soliton has multiple eigenvalues depending on the so...
| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ac5a86 |
| _version_ | 1797748468115046400 |
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| author | Yutian Wang Fanglin Chen Songnian Fu Jian Kong Andrey Komarov Mariusz Klimczak Ryszard BuczyČski Xiahui Tang Ming Tang Luming Zhao |
| author_facet | Yutian Wang Fanglin Chen Songnian Fu Jian Kong Andrey Komarov Mariusz Klimczak Ryszard BuczyČski Xiahui Tang Ming Tang Luming Zhao |
| author_sort | Yutian Wang |
| collection | DOAJ |
| description | Nonlinear Fourier transform (NFT), based on the nonlinear Schrödinger equation, is implemented for the description of soliton propagation, and in particular focused on propagation of high-order solitons. In nonlinear frequency domain, a high-order soliton has multiple eigenvalues depending on the soliton amplitude and pulse-width. During the propagation along the standard single mode fiber (SSMF), their eigenvalues remain constant, while the corresponding discrete spectrum rotates along with the SSMF transmission. Consequently, we can distinguish the soliton order based on its eigenvalues. Meanwhile, the discrete spectrum rotation period is consistent with the temporal evolution period of the high-order solitons. The discrete spectrum contains nearly 99.99% energy of a soliton pulse. After inverse-NFT on discrete spectrum, soliton pulse can be reconstructed, illustrating that the eigenvalues can be used to characterize soliton pulse with good accuracy. This work shows that soliton characteristics can be well described in the nonlinear frequency domain. Moreover, as a significant supplement to the existing means of characterizing soliton pulses, NFT is expected to be another fundamental optical processing method besides an oscilloscope (measuring pulse time domain information) and a spectrometer (measuring pulse frequency domain information). |
| first_indexed | 2024-03-12T16:06:12Z |
| format | Article |
| id | doaj.art-0ad220ce322b4932b277b139a046da0e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:06:12Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-0ad220ce322b4932b277b139a046da0e2023-08-09T14:20:49ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124303303910.1088/1367-2630/ac5a86Nonlinear Fourier transform assisted high-order soliton characterizationYutian Wang0https://orcid.org/0000-0002-5087-5644Fanglin Chen1Songnian Fu2Jian Kong3Andrey Komarov4Mariusz Klimczak5https://orcid.org/0000-0002-3110-9792Ryszard BuczyČski6Xiahui Tang7Ming Tang8Luming Zhao9https://orcid.org/0000-0002-4150-1157School of Optical and Electronic Information and Wuhan National Laboratory for Optoelectronics, Optics Valley Laboratory, Huazhong University of Science and Technology , 1037 Luoyu Road, Wuhan, People’s Republic of ChinaSchool of Optical and Electronic Information and Wuhan National Laboratory for Optoelectronics, Optics Valley Laboratory, Huazhong University of Science and Technology , 1037 Luoyu Road, Wuhan, People’s Republic of ChinaAdvanced Institute of Photonics Technology, School of Information Engineering, and Guangdong Provincial Key Laboratory of Information Photonics Technology, Guangdong University of Technology , Guangzhou 510006, People’s Republic of ChinaKunshan Shunke Laser Technology Co., Ltd , Suzhou 215347, People’s Republic of ChinaInstitute of Automation and Electrometry , Russian Academy of Sciences, Novosibirsk 630090, RussiaFaculty of Physics, University of Warsaw , Warsaw 02-093, PolandFaculty of Physics, University of Warsaw , Warsaw 02-093, PolandSchool of Optical and Electronic Information and Wuhan National Laboratory for Optoelectronics, Optics Valley Laboratory, Huazhong University of Science and Technology , 1037 Luoyu Road, Wuhan, People’s Republic of ChinaSchool of Optical and Electronic Information and Wuhan National Laboratory for Optoelectronics, Optics Valley Laboratory, Huazhong University of Science and Technology , 1037 Luoyu Road, Wuhan, People’s Republic of ChinaSchool of Optical and Electronic Information and Wuhan National Laboratory for Optoelectronics, Optics Valley Laboratory, Huazhong University of Science and Technology , 1037 Luoyu Road, Wuhan, People’s Republic of ChinaNonlinear Fourier transform (NFT), based on the nonlinear Schrödinger equation, is implemented for the description of soliton propagation, and in particular focused on propagation of high-order solitons. In nonlinear frequency domain, a high-order soliton has multiple eigenvalues depending on the soliton amplitude and pulse-width. During the propagation along the standard single mode fiber (SSMF), their eigenvalues remain constant, while the corresponding discrete spectrum rotates along with the SSMF transmission. Consequently, we can distinguish the soliton order based on its eigenvalues. Meanwhile, the discrete spectrum rotation period is consistent with the temporal evolution period of the high-order solitons. The discrete spectrum contains nearly 99.99% energy of a soliton pulse. After inverse-NFT on discrete spectrum, soliton pulse can be reconstructed, illustrating that the eigenvalues can be used to characterize soliton pulse with good accuracy. This work shows that soliton characteristics can be well described in the nonlinear frequency domain. Moreover, as a significant supplement to the existing means of characterizing soliton pulses, NFT is expected to be another fundamental optical processing method besides an oscilloscope (measuring pulse time domain information) and a spectrometer (measuring pulse frequency domain information).https://doi.org/10.1088/1367-2630/ac5a86nonlinear Fourier transformsolitoneigenvaluedynamics |
| spellingShingle | Yutian Wang Fanglin Chen Songnian Fu Jian Kong Andrey Komarov Mariusz Klimczak Ryszard BuczyČski Xiahui Tang Ming Tang Luming Zhao Nonlinear Fourier transform assisted high-order soliton characterization New Journal of Physics nonlinear Fourier transform soliton eigenvalue dynamics |
| title | Nonlinear Fourier transform assisted high-order soliton characterization |
| title_full | Nonlinear Fourier transform assisted high-order soliton characterization |
| title_fullStr | Nonlinear Fourier transform assisted high-order soliton characterization |
| title_full_unstemmed | Nonlinear Fourier transform assisted high-order soliton characterization |
| title_short | Nonlinear Fourier transform assisted high-order soliton characterization |
| title_sort | nonlinear fourier transform assisted high order soliton characterization |
| topic | nonlinear Fourier transform soliton eigenvalue dynamics |
| url | https://doi.org/10.1088/1367-2630/ac5a86 |
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