复合Mathieu格中的椭圆涡
Elliptic Vortices in Composite Mathieu Lattices
摘要：
本文研究了具有复合Mathieu晶格的非线性散焦介质中的椭圆形涡旋孤子。椭圆涡具有强度和相位各向异性的特征，并且只有当其能量流超过某个阈值时才能存在。单电荷椭圆涡被发现产生通过从偶极模式，这是尽我们所知的对称性破缺分岔的光学研究的背景下，不同维度的相位位错的分岔的第一个例子分岔。具有拓扑荷的高阶椭圆涡可以表现出空间分离的单荷相位奇点，从而导致其稳定性。所报道的椭圆涡的显着特点定性地适用于其他椭圆形的约束势。
英文摘要：
We address the elliptically shaped vortex solitons in defocusing nonlinear media imprinted with a composite Mathieu lattice. Elliptic vortices feature anisotropic patterns both in intensity and phase, and can only exist when their energy flow exceed some certain threshold. Single-charged elliptic vortices are found to arise via bifurcation from dipole modes, which, to the best of our knowledge is the first example in the context of optics studies of symmetry breaking bifurcations for the phase dislocations of different dimensionalities. Higher-order elliptic vortices with topological charge could exhibit spatially separated single-charged phase singularities, leading to their stabilization. The salient features of reported elliptic vortices qualitatively hold for other elliptic shaped confining potentials.
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