Focusing of Partially Coherent Vortex Beams by an Aperture Lens

部分协调的旋涡波浪领域的集中的性质被学习，表情在 thegeometrical 附近为紧张分发和连贯的度被导出焦点。这被发现在拓扑的费用和规范的连贯长度上的焦点的 regiondepends 的连贯旋涡黑暗核心的尺寸。几何焦点附近的 desiredvortex 黑暗核心能被选适当价值为 ofparameters 产生，这被发现。连贯的度在 thegeometrical 焦点邻居拥有一双阶段奇特区域。

The focusing properties of partially coherent vortex wave fields are studied. Expressions are derived for the intensity distribution and the degree of coherence near the geometrical focus. It is found that the size of coherence vortex dark core in the focal region depends on the topological charges and normalized coherence lengths. It is found that the desired vortex dark core near the geometrical focus can be generated by choosing appropriate values of parameters. The degree of coherence possesses a pair of phase singularities regions in the geometrical focus neighbourhood.