A structured optical field with controllable three-dimensional intensity and multiple polarization singularities is demonstrated by utilizing a combination of a radially polarized (RP) beam, a designed phase mask, and a high numerical aperture lens. Owing to the tight focusing property of RP beams as well as the interference of multiple linearly polarized non-coplanar plane waves, various lattice-like optical structures can emerge at the focal plane with multiple structured singularities in the transverse plane and optical needle array along with propagation. Compared with recently proposed phase and polarization engineering methods with spatial light modulators, the method presented here is convenient and flexible, and can easily realize the generation of V-point and C-point lattices. More importantly, a structured longitudinal field, namely, an optical needle array, with steerable positive and reverse energy flows may be extensively applied in multi-particle acceleration and trapping, optical microscopes, and second-harmonic generation.

中文翻译：

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聚焦径向偏振光束诱导的定制多奇异结构

通过利用径向偏振（RP）光束，设计的相位掩模和高数值孔径透镜的组合，展示了具有可控制的三维强度和多重偏振奇点的结构化光场。由于RP光束的紧密聚焦特性以及多个线性偏振的非共面平面波的干扰，各种晶格状的光学结构可以在焦平面处出现，在横向平面上具有多个结构奇异点，并且光学针阵列与传播。与最近提出的具有空间光调制器的相位和偏振工程方法相比，此处提出的方法方便且灵活，并且可以轻松实现V点和C点晶格的生成。更重要的是，一个结构化的纵向场，即