标题： 光学夸克是否存在于自由空间中：标量处理？ 显示英文标题

标题： Do optical quarks exist in free space: scalar treatment?

摘要： 我们考虑了一种具有分数拓扑电荷的新类型奇异光束，被称为光学夸克，它们具有相当独特的性质，其拓扑电荷是整数阶的一半。 有四种类型的光学夸克：偶数和奇数，其拓扑电荷的符号相反。 偶数和奇数夸克的和或差形成具有整数阶拓扑电荷的标准涡旋（或非涡旋）光束。 同一光束中的所有夸克会相互湮灭，光束消失。 对夸克角谱的分析表明，在自由空间传播下，光学夸克是结构不稳定的场形式。 我们分析了不同类型的光束包络的传播特性，包括具有离散光学夸克的对称光束阵列。 我们讨论了可能的结构稳定夸克形式及其能够维持光学夸克的介质。 显示英文摘要

摘要： We have considered new type of singular beams with fractional topological charges that were called the optical quarks possessed rather unique properties, their topological charges being half of the integer order. There are four types of optical quarks: even and odd with opposite signs of the topological charges. The sums or difference of the even and odd quarks form the standard vortex (or non-vortex) beams with the integer order topological charges. All quarks in the same beam annihilate, the beam vanishes. The analysis of the quark angular spectra showed that the optical quarks are structurally unstable field forms under the free-space propagation. We have analyzed their propagation properties for different types of the beam envelope including the symmetric beam array with discrete optical quarks. We have discussed the properties of the possible structurally stable quark forms and medium capable to maintain optical quarks