Xiaofei Li, Xin Liu, Quanying Wu, Jun Zeng, Yangjian Cai, Sergey A. Ponomarenko, Chunhao Liang
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引用次数: 0
摘要
我们指出了携带轨道角动量(OAM)的光束与数论之间的联系。有了这种联系,我们就有可能利用由质数筛调制的、带有轨道角动量的光束,制定并实施一种简单、超快的质数因式分解协议。我们只需测量聚焦于源光束的薄透镜后焦平面上的轴上光强,就能区分一个数的因数和非因数。我们提出的方案完全依赖于 OAM 相位分布的周期性,因此适用于任何频率和物理性质的全相干场和部分相干场--从光学或 X 射线到物质波--都具有 OAM。我们的实验结果与我们的理论非常吻合。我们预计,我们的协议将引发光学密码学和使用 OAM 光束进行信息处理的新发展。
Prime number factorization with light beams carrying orbital angular momentum
We point out a link between orbital angular momentum (OAM) carrying light beams and number theory. The established link makes it possible to formulate and implement a simple and ultrafast protocol for prime number factorization by employing OAM endowed beams that are modulated by a prime number sieve. We are able to differentiate factors from non-factors of a number by simply measuring the on-axis intensity of light in the rear focal plane of a thin lens focusing on a source beam. The proposed protocol solely relies on the periodicity of the OAM phase distribution, and hence, it is applicable to fully as well as partially coherent fields of any frequency and physical nature—from optical or x-ray to matter waves—endowed with OAM. Our experimental results are in excellent agreement with our theory. We anticipate that our protocol will trigger new developments in optical cryptography and information processing with OAM beams.
APL PhotonicsPhysics and Astronomy-Atomic and Molecular Physics, and Optics
CiteScore
10.30
自引率
3.60%
发文量
107
审稿时长
19 weeks
期刊介绍:
APL Photonics is the new dedicated home for open access multidisciplinary research from and for the photonics community. The journal publishes fundamental and applied results that significantly advance the knowledge in photonics across physics, chemistry, biology and materials science.