Radial diffraction of light in the radial momentum state space.
Radial diffraction of light in the radial momentum state space.
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DOI：
10.1364/ol.400878
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发表时间：
2020-09
期刊：
影响因子：
3.6
通讯作者：
Tianlong Ma;Dongkai Zhang;Xiaodong Qiu;Yuanyuan Chen;Lixiang Chen
中科院分区：
文献类型：
--
作者：
Tianlong Ma;Dongkai Zhang;Xiaodong Qiu;Yuanyuan Chen;Lixiang Chen
虽然线性或角位置和动量可以通过连续或离散傅里叶变换联系起来，但历史上径向位置和径向动量之间的类似傅里叶关系存在一些微妙的问题。在这里，我们利用径向位置和新引入的径向动量变量来报告光衍射的径向版本。具有单个或多个径向狭缝的掩模将光限制为径向传输函数。因此，在径向动量状态空间中，我们可以观察到由于径向范围的横向限制而在透射光上产生的衍射边带。我们的实验结果清楚地揭示了单光子水平上径向位置和径向动量变量之间有趣的衍射行为，使它们成为量子力学基础测试和各种量子信息应用的另一个候选者。
While linear or angular position and momentum can be linked by a continuous or discrete Fourier transform, there are some subtle problems in the analogous Fourier relationship between radial position and radial momentum in history. Here we exploit radial position and newly introduced radial momentum variables to report a radial version of light's diffraction. The mask with single or multiple radial slits confines the light to a radial transmission function. As a result, in the radial momentum state space, we can observe the diffraction sidebands generated on the transmitted light due to a transverse restriction of the radial range. Our experimental results clearly reveal the intriguing diffraction behaviors between radial position and radial momentum variables at the single-photon level, making them another candidate for fundamental tests of quantum mechanics and for a variety of quantum information applications.