Chen Peijun, Wang Hong
Opt Express. 2023 Sep 11;31(19):30529-30541. doi: 10.1364/OE.497341.
We investigate the dynamics and stability of two-dimensional (2D) vortex dipole solitons in nonlocal nonlinearity with PT-symmetric Scarff-II potential. We analyze the solitons with single charge and higher-order charge using analytical and numerical methods. By the variational approach, we can obtain analytical solutions for the model. It is found that the nonlocality degree affects the evolution of the beams. We discover that the vortex dipole solitons will undergo stable deformation rather than maintaining their basic profile when the nonlocality is strong. Moreover, the stability of the vortex dipole solitons depends on the potential depth and there exists a threshold, below which the beams can keep their shapes and propagate stably whether the nonlocality is weak, intermediate, or strong. Numerical simulations are consistent with the analytical results.
我们研究了具有PT对称斯卡夫-II势的非局部非线性中二维（2D）涡旋偶极孤子的动力学和稳定性。我们使用解析和数值方法分析了单电荷和高阶电荷的孤子。通过变分方法，我们可以得到该模型的解析解。发现非局部程度会影响光束的演化。我们发现，当非局部性较强时，涡旋偶极孤子将经历稳定变形而不是保持其基本轮廓。此外，涡旋偶极孤子的稳定性取决于势阱深度，并且存在一个阈值，低于该阈值时，无论非局部性是弱、中等还是强，光束都可以保持其形状并稳定传播。数值模拟与解析结果一致。
