Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices
We investigate the existence and stability of localized gap states at a non-linear interface of non-linear fractional systems in a one-dimensional photonic lattice. By using the direct numerical simulations and linear stability analysis, we obtain the stability of the asymmetric localized gap states...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.1116344/full |
| _version_ | 1828053874049548288 |
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| author | Shu Zhou Shu Zhou Jianhua Zeng Jianhua Zeng Yali Qin |
| author_facet | Shu Zhou Shu Zhou Jianhua Zeng Jianhua Zeng Yali Qin |
| author_sort | Shu Zhou |
| collection | DOAJ |
| description | We investigate the existence and stability of localized gap states at a non-linear interface of non-linear fractional systems in a one-dimensional photonic lattice. By using the direct numerical simulations and linear stability analysis, we obtain the stability of the asymmetric localized gap states in the first and second finite gaps. Our theoretical results show that the power of the localized gap states decrease gradually as the increase of propagation constant and the non-linear landscape (non-linear coefficient ratio between the left and right interface), providing insights into soliton physics in non-linear periodic systems with fractional-order diffraction. |
| first_indexed | 2024-04-10T20:14:10Z |
| format | Article |
| id | doaj.art-13208a4c31124779bfc08fa5cf7f2781 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-10T20:14:10Z |
| publishDate | 2023-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-13208a4c31124779bfc08fa5cf7f27812023-01-26T06:56:20ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-01-011010.3389/fphy.2022.11163441116344Asymmetric localized states at a nonlinear interface of fractional systems with optical latticesShu Zhou0Shu Zhou1Jianhua Zeng2Jianhua Zeng3Yali Qin4Institute of Fiber-Optic Communication and Information Engineering, College of Information Engineering, Zhejiang University of Technology, Hangzhou, ChinaState Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of CAS, Xi’an, ChinaState Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of CAS, Xi’an, ChinaUniversity of Chinese Academy of Science, Beijing, ChinaInstitute of Fiber-Optic Communication and Information Engineering, College of Information Engineering, Zhejiang University of Technology, Hangzhou, ChinaWe investigate the existence and stability of localized gap states at a non-linear interface of non-linear fractional systems in a one-dimensional photonic lattice. By using the direct numerical simulations and linear stability analysis, we obtain the stability of the asymmetric localized gap states in the first and second finite gaps. Our theoretical results show that the power of the localized gap states decrease gradually as the increase of propagation constant and the non-linear landscape (non-linear coefficient ratio between the left and right interface), providing insights into soliton physics in non-linear periodic systems with fractional-order diffraction.https://www.frontiersin.org/articles/10.3389/fphy.2022.1116344/fullnonlinear localized statesphotonic latticeinhomogeneous nonlinear modulationfractional diffractionkerr nonlinearity |
| spellingShingle | Shu Zhou Shu Zhou Jianhua Zeng Jianhua Zeng Yali Qin Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices Frontiers in Physics nonlinear localized states photonic lattice inhomogeneous nonlinear modulation fractional diffraction kerr nonlinearity |
| title | Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| title_full | Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| title_fullStr | Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| title_full_unstemmed | Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| title_short | Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| title_sort | asymmetric localized states at a nonlinear interface of fractional systems with optical lattices |
| topic | nonlinear localized states photonic lattice inhomogeneous nonlinear modulation fractional diffraction kerr nonlinearity |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.1116344/full |
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