We report a time-reversal method based on the Richards-Wolf vectorial diffraction theory to generate a prescribed polarization topology on a defined trajectory within areas of relatively high intensity. An example is given to generate transversely oriented optical Möbius strips that wander around an axis perpendicular to the beam propagation direction. A number of sets of dipole antennae are purposefully positioned on a defined trajectory in the y = 0 plane and the radiation fields are collected by one high-NA objective lens. By sending the complex conjugate of the radiation fields in a time-reversed manner, the focal fields are calculated and the optical polarization topology on the trajectory can be tailored to form prescribed Möbius strips. The ability to control optical polarization topologies may find applications in nanofabrication, quantum communication, and light-matter interaction.

中文翻译：

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横向定向光偏振莫比乌斯带的产生

我们报告了一种基于 Richards-Wolf 矢量衍射理论的时间反转方法，以在相对高强度区域内的定义轨迹上生成规定的偏振拓扑。给出了一个示例来生成横向定向的光学莫比乌斯带，该带围绕垂直于光束传播方向的轴漂移。多组偶极天线有目的地放置在y 方向的定义轨迹上= 0 平面，辐射场由一个高数值孔径物镜收集。通过以时间反转的方式发送辐射场的复共轭，计算焦场，并且可以定制轨迹上的光学偏振拓扑以形成规定的莫比乌斯带。控制光偏振拓扑的能力可以在纳米制造、量子通信和光-物质相互作用中找到应用。