A class of wide-stationary optical sources with a specially designed degree of coherence profile is introduced for radiating spectral densities with a vortex whose core’s location and size can be controlled at a specified range. This is achieved by modeling of the source coherence state as a combination of a helicoidal separable phase and a Cartesian phase factor, depending on the separation between the $ n $th power of the radius–vectors of two points.

中文翻译：

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自聚焦涡旋光束

引入了一类具有特殊设计的相干分布的宽平稳光源，以辐射具有漩涡的光谱密度，该漩涡的核心位置和大小可以控制在指定范围内。这是通过将源相干态建模为螺旋可分离相位和笛卡尔相位因子的组合来实现的，这取决于两个点的半径矢量的第n次幂之间的间隔。