Phasor-field (${{\mathcal {P}}}$-field) imaging is a promising recent solution to the task of non-line-of-sight (NLoS) imaging, colloquially referred to as “seeing around corners.” It consists of treating the oscillating envelope of amplitude-modulated, spatially-incoherent light as if it were itself an optical wave, akin to the oscillations of the underlying electromagnetic field. This resemblance enables traditional optical imaging strategies, e.g., lenses, to be applied to NLoS imaging tasks. To date, however, this ability has only been applied computationally. In this paper, we provide a rigorous mathematical demonstration that ${{\mathcal {P}}}$-field imaging can be performed with physical optics, viz., that ordinary lenses can focus or project ${{\mathcal {P}}}$ fields through intervening diffusers—despite these diffusers’ broadly dispersing the light passing through them—and that they can image scenes hidden by such diffusers. Hence NLoS imaging might be carried out via ${{\mathcal {P}}}$-field physical optics without the nontrivial computational burden of prior NLoS techniques.

中文翻译：

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近轴相场物理光学。

相量场（$ {{\ mathcal {P}}} $ -field）成像是解决非视线（NLoS）成像任务的有希望的最新解决方案，俗称“四处寻找”。它包括将调幅的，空间不相干的光的振荡包络视为本身就是光波，类似于基础电磁场的振荡。这种相似性使传统的光学成像策略（例如镜头）可以应用于NLoS成像任务。但是，到目前为止，该功能仅在计算上应用。在本文中，我们提供了严格的数学证明，即可以使用物理光学来执行$ {{\ mathcal {P}} $场成像，即普通镜头可以聚焦或投射$ {{\ mathcal {P} }} $尽管这些扩散器广泛地分散了穿过它们的光，但它们可以通过中间的扩散器散布，并且它们可以对这种扩散器隐藏的场景进行成像。因此，可以通过$ {{\ mathcal {P}}} $场物理光学器件来执行NLoS成像，而不会产生现有NLoS技术的不平凡的计算负担。