汉克-贝塞尔光束在海洋湍流信道中的螺旋相位谱分析

携带轨道角动量的汉克-贝塞尔(Hankel-Bessel,HB)光束具有无衍射和自聚焦特性,用来作为信息传输的载体有望增大信息传输容量.基于Rytov近似理论,推导得到了HB涡旋光束经过海洋水平弱湍流信道后的螺旋相位谱的解析表达式,并利用数值仿真方法研究了海洋湍流参数对轨道角动量模式探测概率的影响.结果表明,海洋湍流导致发射轨道角动量模式的探测概率下降,出现模式串扰和螺旋相位谱扩展.海洋湍流对HB涡旋光束的负面影响随着轨道角动量模式数、传输距离、温度方差耗散率的增加而增强,随湍流动能耗散率的增加而减弱.HB涡旋光束受以盐度波动驱动的海洋湍流的负面影响更大.另外,在弱湍流及几十米传输距离条件下,HB涡旋光束的传输性能要差于最佳束腰大小设置的拉盖尔-高斯涡旋光束.这些结果有望为海洋环境水下光通信链路的实现提供一定的参考价值.     

圆柱型光纤螺线圈轨道角动量模式

传统的沿z轴光纤传输光线的轨道角动量(orbital angular momentum,OAM)光束的制备方法共同之处都是从内部结构着想,光束的主光线基本上不变,只是波面在变.但要获得携带高mh的光有一定的难度.针对上述问题,本文建立以波面不变,光束主光线变化为基础的理论框架,利用微分几何理论验证不沿z轴圆柱型光纤螺线圈传输的光线可以携带高mh OAM的理论设想.研究发现:利用流动坐标(α,β,γ)计算光线在绕圆柱体的光纤中传输时光纤截面的衍射分布图呈现涡旋特征,有高阶OAM模式.当θ=θ0时,圆柱形轨道光纤过渡到直线轨道光纤.计算光线沿直线传输时光纤截面的衍射分布图是Airy斑,即圆孔衍射斑,无高阶OAM模式.     

Twisted optical communications using orbital angular momentum

Angular momentum, a fundamental physical quantity, can be divided into spin angular momentum(SAM) and orbital angular momentum(OAM) in electromagnetic waves. Helically-phased or twisted light beams carrying OAM that exploit the spatial structure physical dimension of electromagnetic waves have benefited wide applications ranging from optical manipulation to quantum information processing. Using the two distinct properties of OAM, i.e., inherent orthogonality and unbounded states in principle, one can develop OAM modulation and OAM multiplexing techniques for twisted optical communications. OAM multiplexing is an alternative space-division multiplexing approach employing an orthogonal mode basis related to the spatial phase structure. In this paper, we review the recent progress in twisted optical communications using OAM in free space and fiber. The basic concept of momentum, angular momentum, SAM, OAM and OAM-carrying twisted optical communications,key techniques and devices of OAM generation/(de)multiplexing/detection, high-capacity spectrally-efficient free-space OAM links, fiber-based OAM links, and OAM processing functions are presented. Ultra-high spectral efficiency and petabit-scale freespace data links are achieved benefiting from OAM multiplexing. The key techniques and challenges of twisted optical communications are also discussed. Twisted optical communications using OAM are compatible with other existing physical dimensions such as frequency/wavelength, amplitude, phase, polarization and time, opening a possible way to facilitate continuous increase of the aggregate transmission capacity and spectral efficiency through N-dimensional multiplexing.     

Quark Orbital Angular Momentum

Generalized parton distributions provide information on the distribution of quarks in impact parameter space. For transversely polarized nucleons, these impact parameter distributions are transversely distorted and this deviation from axial symmetry leads on average to a net transverse force from the spectators on the active quark in a DIS experiment. This force when acting along the whole trajectory of the active quark leads to transverse single-spin asymmetries. For a longitudinally polarized nucleon target, the transverse force implies a torque acting on the quark orbital angular momentum (OAM). The resulting change in OAM as the quark leaves the target equals the difference between the Jaffe–Manohar and Ji OAMs.     

Ellipse-Like Orbital Angular Momentum Multiplexed Holography and Efficient Decryption Utilizing a Composite Ellipse-Like Lens

The utilization of orbital angular momentum (OAM) as an independent degree of freedom for information encryption has gained significant attention. Nevertheless, the multiplexing capacity of OAM is still constrained, and there is a lack of research on accelerated decryption techniques in OAM multiplexed holography. In this study, ellipse-like orbital angular momentum (EL-OAM) multiplexed holography is proposed and implemented. The ellipse-like (EL) beam incorporates three modulatable parameters: topological charge, power index, and radial shift. To achieve efficient decryption, a composite ellipse-like lens (CELL) is introduced that generates two EL beams carrying different OAMs at distinct axial positions, resulting in two reconstruction holographic images with approximately equal intensity. The mode selectivity of EL-OAM based on the aforementioned parameters is investigated. Experimental verification demonstrates the feasibility of EL-OAM multiplexed holography and its potential for fast decryption in various dimensions. This breakthrough opens up new possibilities for practical information encryption and decryption systems.     

基于激光光束轨道角动量的8位数据信号产生与检测的实验研究

本文研究了利用激光光束的轨道角动量进行8位数据信息传输的技术. 建立了一套利用光束轨道角动量进行8位数据信息传输的系统, 在信息调制部分采用可选通控制的光源阵列和相位调制屏实现光束轨道角动量态的编码复用, 在信息解调部分采用二元振幅光栅进行轨道角动量态检测,实现了无误码的数据信息传输.     

利用光束的轨道角动量实现高密度数据存储的机理研究

光束的轨道角动量本征态可以构建高维Hilbert空间，将之应用于数据存储中，可以实现比传统方法更高的数据存储密度.提出了一种用光束轨道角动量实现高密度数据存储的方法，对存储区域进行相位编码，通过探测透射光束轨道角动量谱(螺旋谱)的特征来区分由相位编码形成的不同数据态.四台阶结构相位编码可以实现57个不同的数据态，有望将数据密度提高为传统方法的近6倍. 关键词： 光束轨道角动量 光学存储 高密度存储     

Manipulating Spin-Dependent Wavefronts of Vortex Beams via Plasmonic Metasurfaces

Conventional metasurfaces based on geometric phase are constrained to spin-locked phase profile, resulting in mirrored functionalities for different spins. A single flat device that enables independent manipulation of wavefronts in two orthogonal circularly polarized channels is of paramount importance in wireless and optical communications. In this work, by tuning the dimension and rotation angle of H-shaped meta-atoms to synthesize propagating phase and geometric phase, spin-dependent plasmonic metasurfaces are presented to manipulate circularly polarized waves in the visible band. To verify the capability of spin-dependent wavefront manipulation, three metasurfaces are implemented. The first metasurface generates vortex beams with orbital angular momentum (OAM) l = 1 under left-handed circularly polarized (LCP) incidence and l = 2 under right-handed circularly polarized (RCP) incidence. By introducing convolution operation, the second metasurface is capable of producing vortex beams with different OAMs and different directions for two spins. The third metasurface produces dual-beam and quad-beam with different OAMs for different circular polarizations. This scheme can provide a new pathway in ultracompact nanophotonic devices and systems.     

Efficient sorting of orbital angular momentum states of light

We present a method to efficiently sort orbital angular momentum (OAM) states of light using two static optical elements. The optical elements perform a Cartesian to log-polar coordinate transformation, converting the helically phased light beam corresponding to OAM states into a beam with a transverse phase gradient. A subsequent lens then focuses each input OAM state to a different lateral position. We demonstrate the concept experimentally by using two spatial light modulators to create the desired optical elements, applying it to the separation of eleven OAM states.     

Analyzing OAM mode purity in optical fibers with CNN-based deep learning

Inspired by recent rapid deep learning development, we present a convolutional-neural-network(CNN)-based algorithm to predict orbital angular momentum(OAM) mode purity in optical fibers using far-field patterns.It is found that this image-processing-based technique has an excellent ability in predicting the OAM mode purity, potentially eliminating the need of using bulk optic devices to project light into different polarization states in traditional methods. The excellent performance of our algorithm can be characterized by a prediction accuracy of 99.8% and correlation coefficient of 0.99994. Furthermore, the robustness of this technique against different sizes of testing sets and different phases between different fiber modes is also verified. Hence, such a technique has a great potential in simplifying the measuring process of OAM purity.     

Generation of a large orbital angular momentum beam via an optical fiber winding around a curved path and its application

Many papers have been published on the study of orbital angular momentum(OAM) of the laser modes based on the Laguerre–Gaussian(LG) beam and helical phase plate or rotating cylindrical lens, and the principal ray of the LG beam remains straight line. These ways are difficult to get a large OAM modes. In this paper, we propose a novel method to prepare a large OAM modes when the light propagates through a optical fiber winding around a curved path, and establish a theoretical framework based on the principal ray path changing. Firstly, we investigate three kinds of winding structure.Secondly, based on the analytical solutions and numerical calculations, we can find that the spiral body can achieve a large OAM temporal pulse. At the same time, based on the zero OAM diffraction diagram, we can obtain an improvement of resolving power beyond Rayleigh's criterion. Finally, applying a large OAM diffraction pattern to realize 12-bitencodes,we can obtain a high-security optical information transfer system.     

Time-division multiplexing of the orbital angular momentum of light

We present an optical setup for generating a sequence of light pulses in which the orbital angular momentum (OAM) degree of freedom is correlated with the temporal one. The setup is based on a single q plate within a ring optical resonator. By this approach, we demonstrate the generation of a train of pulses carrying increasing values of OAM, or, alternatively, of a controlled temporal sequence of pulses having prescribed OAM superposition states. Finally, we exhibit an "OAM-to-time conversion" apparatus that divides different input OAM states into different time bins. The latter application provides a simple approach to digital spiral spectroscopy of pulsed light.     

Visualizing the Fractional Orbital Angular Momentum

This paper proposes a novel approach to visualize the fractional orbital angular amentum (OAM) flow of light fields at the example of the Lommel tornado wave (LoTW) along the propagation direction in free space. The novel approach that is based on the transverse intensity distributions of the LoTWs can be used to identify and quantify the fractional OAM. The energy that is continuously distributed flexibly is controlled via the asymmetry factor and topological charge. Furthermore, the OAM density on concentric rings and chiral paths is employed to demonstrate convincingly as a manifestation of the energy flow. Such beams are anticipated to find potential applications in optical communication and optical micromanipulation.     

利用Sagnac干涉仪实现光子轨道角动量分束器

光子轨道角动量量子态具有高维和光学涡旋特性, 在经典和量子领域展示出了巨大的应用潜力, 目前对其的研究已成为物理学的一个热点. 本实验研究了利用Sagnac干涉仪干涉的方法将具有不同轨道角动量的光束无破坏地分离到不同的路径, 即实现光子轨道角动量分束器. 实验中利用此分束器验证了对几种不同轨道角动量态(包含叠加态)的分离, 得到了与理论预期相符的实验结果. 这种对轨道角动量态的区分的方法相比已有的其他区分方法具有较好的稳定性, 而且可用于区分叠加态, 也可以达到单光子水平, 最重要的是实现了不同的轨道角动量本征态无破坏的与路径比特耦合. 这种新方法对高密度通信、量子纠缠、量子保密通信、量子计算与量子信息等方面有着重要的意义.     

Turbulence mitigation scheme based on multiple-user detection in an orbital-angular-momentum multiplexed system

Atmospheric turbulence(AT) induced crosstalk can significantly impair the performance of a free-space optical(FSO)communication link using orbital angular momentum(OAM) multiplexing.In this paper,we propose a multiple-user detection(MUD) turbulence mitigation scheme in an OAM-multiplexed FSO communication link.First,we present a MUD equivalent communication model for an OAM-multiplexed FSO communication link under AT.In the equivalent model,each input bit stream represents one user's information.The deformed OAM spatial modes caused by AT,instead of the pure OAM spatial modes,are used as information carriers,and the overlapping between the deformed OAM spatial modes are computed as the correlation coefficients between the users.Then,we present a turbulence mitigation scheme based on MUD idea to enhance AT tolerance of the OAM-multiplexed FSO communication link.In the proposed scheme,the crosstalk caused by AT is used as a useful component to deduce users' information.The numerical results show that the performance of the OAM-multiplexed communication link has greatly improved by the proposed scheme.When the turbulence strength C_n~2 is 1 × 10~(-15) m~(-2/3),the transmission distance is 1000 m and the channel signal-to-noise ratio(SNR)is 26 dB,the bit-error-rate(BER) performance of four spatial multiplexed OAM modes l_m = + 1,+2,+3,+4 are all close to 10~(-5),and there is a 2-3 fold increase in the BER performance in comparison with those results without the proposed scheme.In addition,the proposed scheme is more effective for an OAM-multiplexed FSO communication link with a larger OAM mode topological charge interval.The proposed scheme is a promising direction for compensating the interference caused by AT in the OAM-multiplexed FSO communication link.     

光子高阶轨道角动量制备、调控及传感应用研究进展

光子既是经典信息也是量子信息的理想载体. 单个光子不仅可以携带自旋角动量(与光波的圆偏振相关), 还可以携带轨道角动量(与光波的螺旋相位相关). 而轨道角动量的重要意义在于可利用单个光子的量子态构建一个高维的Hilbert空间, 从而实现高维量子信息的编码. 自Allen等于1992年确认光子轨道角动量的物理存在以来, 轨道角动量在经典光学和量子光学领域展现了诸多诱人的应用前景, 目前已成为国际光学领域的研究热点之一. 本综述将着重介绍高阶轨道角动量光束的制备与调控技术, 特别是高阶轨道角动量的量子纠缠态操控、旋转Doppler 效应测量及其在远程传感和精密测量技术中的应用.     

部分相干光的轨道角动量及其谱的分析研究

针对光束轨道角动量的研究主要集中在相干光束的研究，而对于部分空间相干光束的轨道角动量研究较少，依据部分相干光的Wigner分布函数推导出部分相干光的轨道角动量表达式，分析了部分相干光的轨道角动量谱特性。采用Mercer展开法得到了轨道角动量谱，计算了给定部分相干光束的轨道角动量谱，讨论了部分相干性对轨道角动量谱的影响。研究结果表明：部分相干光和相干光具有相同的轨道角动量表达式，部分相干光的轨道角动量谱随着相干性的变差而愈发弥散，携带轨道角动量的部分相干光束的轨道角动量谱比不携带轨道角动量的部分相干光束的轨道角动量谱更容易受相干度的影响。     

水声工程中基于均匀圆阵列的涡旋声波性能分析*

声波作为信息和能量的载体,一直以来在水下通信中被广泛采用,但尚未解决带宽窄、速率低的问题。在光学领域和电磁波领域,轨道角动量都表征了螺旋相位结构的自然属性;通过引入轨道角动量到声学领域中,水声通信系统的传输能力以及频谱效率都得到扩展。基于换能器圆阵列产生涡旋声波进行分析和检测,研究涡旋声波波束的阵列产生方法,给出涡旋声波波束在水下传播的特性。在主轴方向,采用均匀圆阵列产生不同拓扑模式的涡旋声波波束,确定轨道角动量拓扑模式与换能器阵列之间的对应关系;为生成不同拓扑模式下的涡旋声波,研究阵列单元数目、阵列半径、传输频率等对涡旋声波的影响。通过研究发现模式数越高,涡旋声波主瓣波束角越大,主瓣峰值越小。阵列半径越大,主瓣波束角越大,而主瓣峰值则随着阵列半径的增大而减小;频率越高,主瓣波束角越小,主瓣峰值变化不大;阵列单元数对主瓣波束角无影响,但与主瓣峰值成正比关系,阵列单元数越多,主瓣峰值越大。     

高斯涡旋光束在大气湍流传输中的特性研究

为了研究大气湍流对高斯涡旋光束传递信息的影响,理论分析了经过大气湍流的高斯涡旋光束轨道角动量(OAM)模式的径向平均功率和归一化平均功率分布、固有模式指数、初始光束半径和湍流强度;采用纯相位扰动逼近的有效性,数值模拟高斯涡旋光束在传输中的OAM模式径向平均功率分布的变化。建立传输模型并进行外场激光大气传输实验,对比分析了模拟和实测的OAM归一化平均功率分布,结果表明在弱湍流条件下,OAM模式的径向平均功率随着接收器孔径尺寸的增加而变化,逐渐趋于稳定值。对于一般常用的接收孔径,在强湍流或较小的初始光束半径条件下对OAM模式干扰十分严重。验证了用数值方法模拟OAM在湍流介质中的模式变化过程的可靠性。