We obtained a twisted far field with rectangular hollow distribution by designing a new type of light source, which can rotates around the axis during propagation. Then, we derived the expression of cross spectral density function on propagation of such source and analyzed the characteristics of spectral intensity distribution of beam field. In addition, we discussed the influence of corresponding parameters of such a source on the behavior of the beam field, including thickness of the hollow edge, the size of the hollow, and direction of beam rotation in detail.

中文翻译：

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矩形空心扭曲多高斯谢尔模型源

我们通过设计一种新型光源，在传播过程中可以绕轴旋转，获得了矩形空心分布的扭曲远场。然后，我们推导出了这种源传播的交叉谱密度函数的表达式，并分析了光束场的谱强度分布特征。此外，我们详细讨论了这种源的相应参数对束场行为的影响，包括空心边缘的厚度、空心的大小和光束旋转方向。