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Propagation of optical vortex beams and nucleation of vortex-antivortex pairs in disordered nonlinear photonic lattices

机译:无序非线性光子晶格中光学涡旋光束的传播和涡旋-反涡旋对的成核

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摘要

The propagation of optical vortex beams through disordered nonlinear photonic lattices is numerically studied. The vortex beams are generated by using a superposition of several Gaussian laser beams arranged in a radially-symmetric manner. The paraxial nonlinear Schrodinger equation describing the longitudinal propagation of the beam array through nonlinear triangular photonic lattices with two-dimensional disorder is solved numerically by using the split-step Fourier method. We find that due to the spatial disorder, the vortex beam is destabilized after propagating a finite distance and new vortex-antivortex pairs are nucleated at the positions of perfect destructive interference. We also find that in the presence of a self-focusing nonlinearity, the vortex-antivortex pair nucleation is suppressed and the vortex beam becomes more stable, while a self-defocusing nonlinearity enhances the vortex-antivortex pair nucleation.
机译:数值研究了涡旋光束通过无序非线性光子晶格的传播。通过使用以径向对称方式布置的几个高斯激光束的叠加来产生涡旋束。使用分步傅里叶方法,通过数值求解了轴旁非线性薛定with方程,该方程描述了光束阵列通过具有二维无序的非线性三角光子晶格的纵向传播。我们发现由于空间混乱,涡旋束在传播有限距离后不稳定,并且新的涡旋-反涡旋对在完美破坏性干涉的位置成核。我们还发现,在存在自聚焦非线性的情况下,涡旋-反涡旋对的成核被抑制,涡旋束变得更稳定,而自散焦非线性则增强了涡旋-反旋对的成核。

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