We transfer on-demand structuring of three-dimensional scalar amplitude and phase patterns to polarization-structured, vectorial light fields and its singularities. Our approach allows inheriting non-diffracting as well as self-imaging propagation properties to tailored singular ellipse fields, including self-replicating amplitude, polarization, and singularity configurations. It is experimentally realized by amplitude, phase and polarization modulation of the angular spectrum of the light field. We demonstrate the customization of complex singularity formations embedded in three-dimensionally (3d) tailored vectorial field. Our findings show that embedded networks of polarization singularities can be customized to propagate in a robust way along curved trajectories, creating and annihilating during propagation. This 3d structuring of vectorial singular light fields opens new perspectives for in-depth singularity studies and for advancing applications as optical micro-manipulation and material machining.

我们将三维标量振幅和相位模式的按需结构转移到偏振结构的矢量光场及其奇点。我们的方法允许将非衍射和自成像传播特性继承到定制的奇异椭圆场，包括自复制振幅、极化和奇异配置。它是通过光场角谱的幅度、相位和偏振调制在实验上实现的。我们展示了嵌入三维 (3d) 定制矢量场中的复杂奇点结构的定制。我们的研究结果表明，可以定制偏振奇点的嵌入式网络，以沿着弯曲的轨迹以稳健的方式传播，在传播过程中产生和湮灭。