Simultaneous determination of the constituent azimuthal and radial mode indices for light fields possessing orbital angular momentum
Simultaneous determination of the constituent azimuthal and radial mode indices for light fields possessing orbital angular momentum
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DOI：
10.1063/1.4728111
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发表时间：
2012-06-04
影响因子：
4
通讯作者：
Dholakia, Kishan
中科院分区：
文献类型：
--
作者：
Mazilu, Michael;Mourka, Areti;Dholakia, Kishan
一个广泛的阵列衍射结构，如阵列的针孔，三角形光圈，狭缝，全息图，最近都被用来测量单个拉盖尔-高斯光束的方位角指数。在这里，我们展示了一个强大的方法来同时测量纯拉盖尔-高斯光场的径向和方位指数的主成分分析的方法。我们发现用于测量模式指数的衍射元件的形状实际上并不重要，关键的一步是训练任何衍射光学系统并将观察到的图案转换为不相关的变量。该方法是通用的，并可以扩展到其他家庭的光场，如贝塞尔或厄米高斯光束。(C)2012年美国物理学会。[http：//dx.doi.org/10.1063/1.4728111]
A wide array of diffractive structures such as arrays of pinholes, triangular apertures, slits, and holograms have all recently been used to measure the azimuthal index of individual Laguerre-Gaussian beams. Here, we demonstrate a powerful approach to simultaneously measure both the radial and azimuthal indices of pure Laguerre-Gaussian light fields using the method of principal component analysis. We find that the shape of the diffracting element used to measure the mode indices is in fact of little importance and the crucial step is training any diffracting optical system and transforming the observed pattern into uncorrelated variables. The method is generic and may be extended to other families of light fields such as Bessel or Hermite-Gaussian beams. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4728111]