Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system
We report studies of controlled interactions of localised dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato–Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/3/033034 |
| _version_ | 1827873709111640064 |
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| author | Jae K Jang Miro Erkintalo Kathy Luo Gian-Luca Oppo Stéphane Coen Stuart G Murdoch |
| author_facet | Jae K Jang Miro Erkintalo Kathy Luo Gian-Luca Oppo Stéphane Coen Stuart G Murdoch |
| author_sort | Jae K Jang |
| collection | DOAJ |
| description | We report studies of controlled interactions of localised dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato–Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical fibre (Kerr) resonator, the phase profile of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localised structures, i.e. interactions governed by the dissipative, out-of-equilibrium nature of the system. These interactions fundamentally differ from those typically found for conventional conservative solitons. |
| first_indexed | 2024-03-12T16:41:14Z |
| format | Article |
| id | doaj.art-284ad6a94e00410f85cb73bd9d0d0152 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:41:14Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-284ad6a94e00410f85cb73bd9d0d01522023-08-08T14:30:23ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303303410.1088/1367-2630/18/3/033034Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger systemJae K Jang0Miro Erkintalo1Kathy Luo2Gian-Luca Oppo3Stéphane Coen4Stuart G Murdoch5Dodd-Walls Centre and Department of Physics, The University of Auckland , Private Bag 92019, Auckland 1142, New Zealand; Current address: Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, USADodd-Walls Centre and Department of Physics, The University of Auckland , Private Bag 92019, Auckland 1142, New ZealandDodd-Walls Centre and Department of Physics, The University of Auckland , Private Bag 92019, Auckland 1142, New ZealandSUPA and Department of Physics, University of Strathclyde , Glasgow G4 0NG, UKDodd-Walls Centre and Department of Physics, The University of Auckland , Private Bag 92019, Auckland 1142, New ZealandDodd-Walls Centre and Department of Physics, The University of Auckland , Private Bag 92019, Auckland 1142, New ZealandWe report studies of controlled interactions of localised dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato–Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical fibre (Kerr) resonator, the phase profile of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localised structures, i.e. interactions governed by the dissipative, out-of-equilibrium nature of the system. These interactions fundamentally differ from those typically found for conventional conservative solitons.https://doi.org/10.1088/1367-2630/18/3/033034nonlinear resonatorlocalised dissipative structuresoliton interactiondissipative systems |
| spellingShingle | Jae K Jang Miro Erkintalo Kathy Luo Gian-Luca Oppo Stéphane Coen Stuart G Murdoch Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system New Journal of Physics nonlinear resonator localised dissipative structure soliton interaction dissipative systems |
| title | Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system |
| title_full | Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system |
| title_fullStr | Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system |
| title_full_unstemmed | Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system |
| title_short | Controlled merging and annihilation of localised dissipative structures in an AC-driven damped nonlinear Schrödinger system |
| title_sort | controlled merging and annihilation of localised dissipative structures in an ac driven damped nonlinear schrodinger system |
| topic | nonlinear resonator localised dissipative structure soliton interaction dissipative systems |
| url | https://doi.org/10.1088/1367-2630/18/3/033034 |
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