In this work, we investigate multivortex beams with an infinite topological charge. Such optical vortices contain an array of an infinite, but countable, number of phase singularities (isolated intensity nulls), which typically have the unitary topological charge and are located either uniformly (or not uniformly) on a straight line (or on several crossing straight lines) in the beam transverse cross section. Such optical vortices are form invariant and their transverse intensity distribution is conserved on propagation, changing only in scale and rotation. The orbital angular momentum of such optical vortices is finite, since only a finite number of screw dislocations is located within the area of the notable intensity of the Gaussian beam, while the other phase singularities are in the periphery (and in the infinity), where the intensity is very small. Increasing the Gaussian beam waist radius leads to a parabolic growth of the orbital angular momentum of such beams.

中文翻译：

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具有相位奇点阵列的传播不变激光束

在这项工作中，我们研究了具有无限拓扑电荷的多涡旋光束。这种光学涡流包含无限但可计数的相位奇点（孤立强度零点）阵列，它们通常具有单一拓扑电荷并且均匀地（或不均匀地）位于一条直线（或几个交叉的直线上）线）在梁的横截面上。这种光学涡旋是形式不变的，它们的横向强度分布在传播过程中是守恒的，仅在尺度和旋转上发生变化。这种光学涡旋的轨道角动量是有限的，因为只有有限数量的螺旋位错位于高斯光束的显着强度区域内，而其他相位奇点位于外围（和无穷远），强度很小的地方。增加高斯束腰半径导致此类束的轨道角动量的抛物线增长。