Phase singularities are loci of darkness surrounded by monochromatic light in a scalar field, with applications in optical trapping, super-resolution imaging, and structured light-matter interactions. Although 1D singular structures, like optical vortices, are common due to their robust topological properties, uncommon 0D (point) and 2D (sheet) singularities can be generated by wavefront-shaping devices like metasurfaces. With the design flexibility of metasurfaces, we deterministically position ten identical point singularities using a single illumination source. The phasefront is inverse-designed using phase-gradient maximization with an automatically-differentiable propagator and produces tight longitudinal intensity confinement. The array is experimentally realized with a TiO₂ metasurface. One possible application is blue-detuned neutral atom trap arrays, for which this field would enforce 3D confinement and a potential depth around 0.22 mK per watt of incident laser power. We show that metasurface-enabled point singularity engineering may significantly simplify and miniaturize the optical architecture for super-resolution microscopes and dark traps.

相奇点是标量场中被单色光包围的黑暗轨迹，可应用于光学捕获、超分辨率成像和结构光与物质相互作用。尽管一维奇点结构（如光学涡旋）因其强大的拓扑特性而很常见，但不常见的 0D（点）和 2D（片）奇点可以通过波前整形设备（如超表面）生成。凭借超表面的设计灵活性，我们使用单个照明源确定性地定位十个相同的奇点。相前采用相位梯度最大化和自动可微传播器进行逆向设计，并产生严格的纵向强度限制。该阵列是通过 TiO ₂超表面实验实现的。一种可能的应用是蓝色失谐中性原子陷阱阵列，该场将强制实施 3D 限制，并且每瓦入射激光功率的潜在深度约为 0.22 mK。我们表明，支持超表面的点奇点工程可以显着简化和小型化超分辨率显微镜和暗陷阱的光学架构。