论文标题
各向异性LIEB晶格中的局部涡流梁
Localized vortex beams in anisotropic Lieb lattices
论文作者
论文摘要
我们在二维波导阵列中解决了非线性模式的问题，该阵列在LIEB晶格几何形状上分布，并通过可饱和的非线性Schrödinger方程进行建模。特别是，我们分析了涡流型解决方案的存在和稳定性，从而找到具有对称和不对称曲线的局部模式，范围从拓扑电荷s = 1到s = 3。通过考虑到波导阵列实现实现的各向异性的存在，我们根据其拓扑电荷确定了不同的稳定性行为。我们的发现可能会深入了解实验性可行性，以观察这种涡旋状态。
We address the issue of nonlinear modes in a two-dimensional waveguide array, spatially distributed in the Lieb lattice geometry, and modeled by a saturable nonlinear Schrödinger equation. In particular, we analyze the existence and stability of vortex-type solutions finding localized patterns with symmetric and asymmetric profiles, ranging from topological charge S=1 to S=3. By taking into account the presence of anisotropy, which is inherent to experimental realization of waveguide arrays, we identify different stability behaviors according to their topological charge. Our findings might give insight on experimental feasibility to observe these kind of vortex states.
