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首页> 外文期刊>Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter >Controlling orbital angular momentum of an optical vortex by varying its ellipticity
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Controlling orbital angular momentum of an optical vortex by varying its ellipticity

机译：通过改变其椭圆性来控制光学涡旋的轨道角动量

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An exact analytical expression is obtained for the orbital angular momentum (OAM) of a Gaussian optical vortex with a different degree of ellipticity. The OAM turned out to be proportional to the ratio of two Legendre polynomials of adjoining orders. It is shown that if an elliptical optical vortex is embedded into the center of the waist of a circularly symmetrical Gaussian beam, then the normalized OAM of such laser beam is fractional and it does not exceed the topological charge n. If, on the contrary, a circularly symmetrical optical vortex is embedded into the center of the waist of an elliptical Gaussian beam, then the OAM is equal to n. If the optical vortex and the Gaussian beam have the same (or matched) ellipticity degree, then the OAM of the laser beam is greater than n. Continuous varying of the OAM of a laser beam by varying its ellipticity degree can be used in optical trapping for accelerated motion of microscopic particles along an elliptical trajectory as well as in quantum informatics for detecting OAM-entangled photons. (C) 2017 Elsevier B.V. All rights reserved.
机译：在具有不同程度的椭圆形的高斯光学涡旋的轨道角动量（OAM）获得精确的分析表达。 OAM原本与邻接订单的两个传奇多项式的比例成比例。结果表明，如果椭圆形光学涡旋被嵌入到一个圆对称高斯光束的束腰的中心，那么这样的激光束的标准化OAM是小数并且它不超过拓扑进料正。相反，如果圆形对称光学涡流嵌入椭圆形高斯光束的腰部的中心，则OAM等于n。如果光学涡流和高斯光束具有相同（或匹配的）椭圆度，则激光束的OAM大于n。通过改变其椭圆度的激光束的OAM的连续变可在用于沿着椭圆形轨迹，以及在量子信息学用于检测OAM-纠缠光子微观粒子的加速运动光学捕获使用。 （c）2017年Elsevier B.V.保留所有权利。

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