We propose a protocol for compact and efficient synthesis of a random vectorial source with a higher-order Poincaré (HOP) polarization state encoded into the spatial coherence structure. The procedure is based on the complex-random-mode representation of the cross-spectral density matrix and employs a single phase-only spatial light modulator (SLM) and a common path interferometric system for the mode construction. The SLM displays a set of elaborated multiplexed holograms, which both encode the HOP polarization state and determine the statistical properties of the source. We demonstrate that the beam from the synthesized source can be highly robust against obstructions in the propagation path in the sense that the encoded HOP polarization state is well reconstructed in the far field (focal plane) even when an obstacle is introduced to largely block the source. The results are useful for the transmission of polarization-encoded information in complex media.

中文翻译：

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携带强大的高阶庞加莱偏振态的紧凑型光束

我们提出了一种协议，用于将具有编码到空间相干结构中的高阶庞加莱 (HOP) 偏振态的随机矢量源紧凑高效地合成。该过程基于交叉光谱密度矩阵的复杂随机模式表示，并采用单相空间光调制器 (SLM) 和公共路径干涉系统进行模式构建。SLM 显示一组精心制作的复用全息图，它们既对 HOP 偏振态进行编码，又确定源的统计特性。我们证明来自合成源的光束可以对传播路径中的障碍物具有高度鲁棒性，因为编码的 HOP 偏振态在远场（焦平面）中得到很好的重建，即使引入障碍物以很大程度上阻挡源. 该结果可用于复杂介质中偏振编码信息的传输。