{"title":"具有高斯势阱和势垒的非局部非线性中的二维涡旋偶极子、三极子和四极子孤子","authors":"Peijun Chen, Jiangli Dong, Junhui Ou","doi":"10.1364/oe.534438","DOIUrl":null,"url":null,"abstract":"In this work, we investigate the dynamics and stability of two-dimensional (2D) vortex dipole, tripole, and quadrupole solitons with fundamental topological charge (<jats:italic>m</jats:italic> = 1) and higher topological charge (<jats:italic>m</jats:italic> > 1) in nonlocal nonlinearity with Gaussian potential well and barrier. Both analytical and numerical methods are applied to explore these vortex solitons. The analytical expressions are derived by utilizing the variational approach. The numerical simulations show that nonlocality cannot stabilize the vortex dipole, tripole, and quadrupole beams with topological charge <jats:italic>m</jats:italic> = 1. Interestingly, it is found that these vortex solitons remain stable during propagation only when the topological charge is <jats:italic>m</jats:italic> = 2 and when the propagation constants are below specific thresholds, where the vortex beams can maintain their profile no matter whether the nonlocality is weak, intermediate, or strong or how the Gaussian potential barrier height (well depth) increases. Furthermore, for the solitons with higher topological charge (<jats:italic>m</jats:italic> = 4), another consistent pattern emerges, that is, vortex dipole, tripole, and quadrupole solitons split into stable petal solitons and fundamental solitons with the number of petal solitons corresponding to the number of vortex solitons present. The analytical results are verified by numerical simulations.","PeriodicalId":19691,"journal":{"name":"Optics express","volume":"153 1","pages":""},"PeriodicalIF":3.2000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two-dimensional vortex dipole, tripole, and quadrupole solitons in nonlocal nonlinearity with Gaussian potential well and barrier\",\"authors\":\"Peijun Chen, Jiangli Dong, Junhui Ou\",\"doi\":\"10.1364/oe.534438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we investigate the dynamics and stability of two-dimensional (2D) vortex dipole, tripole, and quadrupole solitons with fundamental topological charge (<jats:italic>m</jats:italic> = 1) and higher topological charge (<jats:italic>m</jats:italic> > 1) in nonlocal nonlinearity with Gaussian potential well and barrier. Both analytical and numerical methods are applied to explore these vortex solitons. The analytical expressions are derived by utilizing the variational approach. The numerical simulations show that nonlocality cannot stabilize the vortex dipole, tripole, and quadrupole beams with topological charge <jats:italic>m</jats:italic> = 1. Interestingly, it is found that these vortex solitons remain stable during propagation only when the topological charge is <jats:italic>m</jats:italic> = 2 and when the propagation constants are below specific thresholds, where the vortex beams can maintain their profile no matter whether the nonlocality is weak, intermediate, or strong or how the Gaussian potential barrier height (well depth) increases. Furthermore, for the solitons with higher topological charge (<jats:italic>m</jats:italic> = 4), another consistent pattern emerges, that is, vortex dipole, tripole, and quadrupole solitons split into stable petal solitons and fundamental solitons with the number of petal solitons corresponding to the number of vortex solitons present. The analytical results are verified by numerical simulations.\",\"PeriodicalId\":19691,\"journal\":{\"name\":\"Optics express\",\"volume\":\"153 1\",\"pages\":\"\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics express\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1364/oe.534438\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics express","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1364/oe.534438","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
摘要
在这项工作中,我们研究了在具有高斯势阱和势垒的非局部非线性中,带有基本拓扑电荷(m = 1)和更高拓扑电荷(m >1)的二维(2D)涡旋偶极子、三极子和四极子孤子的动力学和稳定性。分析和数值方法都被用来探索这些涡旋孤子。分析表达式是利用变分法得出的。数值模拟表明,非局域性无法稳定拓扑电荷 m = 1 的涡旋偶极束、三极束和四极束。有趣的是,只有当拓扑电荷 m = 2 和传播常量低于特定阈值时,这些涡旋孤子才能在传播过程中保持稳定,在这种情况下,无论非局域性是弱、中还是强,也无论高斯势垒高度(井深)如何增加,涡旋束都能保持其轮廓。此外,对于拓扑电荷较高(m = 4)的孤子,出现了另一种一致的模式,即涡旋偶极、三极和四极孤子分裂成稳定的花瓣孤子和基本孤子,花瓣孤子的数量与存在的涡旋孤子数量相对应。数值模拟验证了分析结果。
Two-dimensional vortex dipole, tripole, and quadrupole solitons in nonlocal nonlinearity with Gaussian potential well and barrier
In this work, we investigate the dynamics and stability of two-dimensional (2D) vortex dipole, tripole, and quadrupole solitons with fundamental topological charge (m = 1) and higher topological charge (m > 1) in nonlocal nonlinearity with Gaussian potential well and barrier. Both analytical and numerical methods are applied to explore these vortex solitons. The analytical expressions are derived by utilizing the variational approach. The numerical simulations show that nonlocality cannot stabilize the vortex dipole, tripole, and quadrupole beams with topological charge m = 1. Interestingly, it is found that these vortex solitons remain stable during propagation only when the topological charge is m = 2 and when the propagation constants are below specific thresholds, where the vortex beams can maintain their profile no matter whether the nonlocality is weak, intermediate, or strong or how the Gaussian potential barrier height (well depth) increases. Furthermore, for the solitons with higher topological charge (m = 4), another consistent pattern emerges, that is, vortex dipole, tripole, and quadrupole solitons split into stable petal solitons and fundamental solitons with the number of petal solitons corresponding to the number of vortex solitons present. The analytical results are verified by numerical simulations.
期刊介绍:
Optics Express is the all-electronic, open access journal for optics providing rapid publication for peer-reviewed articles that emphasize scientific and technology innovations in all aspects of optics and photonics.