Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses
We discuss the Kerr nonlinearities of the nonlocally nonlinear system with oscillatory responses by the variational approach. The self-focusing and self-defocusing states are found to dramatically depend on the degree of nonlocality. When the degree of nonlocality goes across a critical value, the n...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ab970a |
| _version_ | 1797750230187245568 |
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| author | Guo Liang Dalong Dang Wei Li Huagang Li Qi Guo |
| author_facet | Guo Liang Dalong Dang Wei Li Huagang Li Qi Guo |
| author_sort | Guo Liang |
| collection | DOAJ |
| description | We discuss the Kerr nonlinearities of the nonlocally nonlinear system with oscillatory responses by the variational approach. The self-focusing and self-defocusing states are found to dramatically depend on the degree of nonlocality. When the degree of nonlocality goes across a critical value, the nonlinearity can transit to its opposite counterpart, that is, focusing to defocusing or defocusing to focusing. The critical degree of nonlocality for the nonlinearities transition is given analytically, and confirmed by numerical simulations. As a versatile mathematical tool, we also employ the variational approach to analytically address the stabilities of solitons, and obtain the range of the degree of nonlocality for the stable solitons, which is confirmed by the linear stability analysis and the numerical simulation. |
| first_indexed | 2024-03-12T16:30:41Z |
| format | Article |
| id | doaj.art-96e69c8ada35421a8c0bf809c83c014a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:41Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-96e69c8ada35421a8c0bf809c83c014a2023-08-08T15:32:06ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122707302410.1088/1367-2630/ab970aNonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responsesGuo Liang0https://orcid.org/0000-0001-9897-9306Dalong Dang1Wei Li2Huagang Li3Qi Guo4Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University , Guangzhou 510631, People’s Republic of China; School of Physics and Electrical Information, Shangqiu Normal University , Shangqiu 476000, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University , Guangzhou 510631, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University , Guangzhou 510631, People’s Republic of ChinaSchool of Photoelectric Engineering, Guangdong Polytechnic Normal University , Guangzhou 510665, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University , Guangzhou 510631, People’s Republic of ChinaWe discuss the Kerr nonlinearities of the nonlocally nonlinear system with oscillatory responses by the variational approach. The self-focusing and self-defocusing states are found to dramatically depend on the degree of nonlocality. When the degree of nonlocality goes across a critical value, the nonlinearity can transit to its opposite counterpart, that is, focusing to defocusing or defocusing to focusing. The critical degree of nonlocality for the nonlinearities transition is given analytically, and confirmed by numerical simulations. As a versatile mathematical tool, we also employ the variational approach to analytically address the stabilities of solitons, and obtain the range of the degree of nonlocality for the stable solitons, which is confirmed by the linear stability analysis and the numerical simulation.https://doi.org/10.1088/1367-2630/ab970anonlocal Kerr nonlinearityspatial optical solitonsvariational approach |
| spellingShingle | Guo Liang Dalong Dang Wei Li Huagang Li Qi Guo Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses New Journal of Physics nonlocal Kerr nonlinearity spatial optical solitons variational approach |
| title | Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses |
| title_full | Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses |
| title_fullStr | Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses |
| title_full_unstemmed | Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses |
| title_short | Nonlocality-controllable Kerr-nonlinearity in nonlocally nonlinear system with oscillatory responses |
| title_sort | nonlocality controllable kerr nonlinearity in nonlocally nonlinear system with oscillatory responses |
| topic | nonlocal Kerr nonlinearity spatial optical solitons variational approach |
| url | https://doi.org/10.1088/1367-2630/ab970a |
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