CN113065494B - A system, method, device and electronic device for vortex electronic mode recognition - Google Patents
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Abstract
本发明公开了一种涡旋电子模态识别系统、方法、装置及电子设备,系统包括涡旋电子产生模块、衍射放大模块、图像接收与采集模块、数据处理和识别模块、训练数据制备子模块、人工智能模型训练子模块和模态识别模块。涡旋电子产生模块产生的回旋电子与轨道角动量耦合产生携带不同模态OAM的涡旋电子波束;衍射放大模块衍射放大涡旋电子波束;图像接收与采集模块,用于接收衍射放大的涡旋电子波束并采集得到OAM场强分布图像;数据处理和识别模块接收OAM场强分布图像并进行OAM模态识别,所述数据处理和识别模块,本发明不仅实现涡旋电子轨道角动量模态识别,可以减小非线性畸变对识别结果的影响,识别准确率较高,且硬件复杂度和成本都很低。
The invention discloses a vortex electronic mode recognition system, method, device and electronic equipment. The system includes a vortex electronic generation module, a diffraction amplification module, an image receiving and acquisition module, a data processing and recognition module, and a training data preparation sub-module. , artificial intelligence model training sub-module and modal recognition module. The cyclotrons generated by the vortex electron generation module are coupled with orbital angular momentum to generate vortex electron beams carrying different modes of OAM; the diffraction amplification module diffracts and amplifies the vortex electron beams; the image receiving and acquisition module is used to receive the diffraction amplified vortices The OAM field intensity distribution image is obtained by collecting the electron beam and the data processing and identification module receives the OAM field intensity distribution image and performs OAM modal identification. The data processing and identification module not only realizes the vortex electron orbital angular momentum modal identification. , which can reduce the influence of nonlinear distortion on the recognition results, the recognition accuracy is high, and the hardware complexity and cost are very low.
Description
技术领域technical field
本发明属于人工智能及电磁波的轨道角动量(Orbital Angular Momentum,OAM)无线通信技术领域,具体涉及一种涡旋电子模态识别系统、方法、装置及电子设备。The invention belongs to the technical field of artificial intelligence and Orbital Angular Momentum (OAM) wireless communication of electromagnetic waves, and particularly relates to a vortex electronic mode identification system, method, device and electronic equipment.
背景技术Background technique
比常规的电磁波通信,引入OAM可有效增加传输容量和频谱效率,缓解频谱资源紧张的局面,实现大容量高速传输。自由空间的光OAM通信系统面临着OAM光束生成器集成度低,光波受大气湍流、雾霾等环境因素影响大等特点。射频电磁波(300GHz以下)的OAM波束发散角大,难以实现长距离传输,且接收端OAM天线结构较为复杂,不易集成,成本也较高。区别于以上统计态OAM波束,使用量子态OAM进行通信则可以很好地解决上述问题。Compared with conventional electromagnetic wave communication, the introduction of OAM can effectively increase the transmission capacity and spectrum efficiency, alleviate the shortage of spectrum resources, and realize high-capacity and high-speed transmission. Optical OAM communication systems in free space face the characteristics of low integration of OAM beam generators, and light waves are greatly affected by environmental factors such as atmospheric turbulence and haze. The OAM beam of radio frequency electromagnetic waves (below 300 GHz) has a large divergence angle, making it difficult to achieve long-distance transmission, and the OAM antenna at the receiving end has a complex structure, is difficult to integrate, and has a high cost. Different from the above statistical state OAM beam, the use of quantum state OAM for communication can well solve the above problems.
量子态OAM即通过涡旋电子携带的轨道角动量实现信息传输,文献(Zhang,C.,Xu,P.,&Jiang,X.(2020).Vortex electron generated by microwave photon with orbitalangular momentum in a magnetic field.AIPAdvances,10,105230.)提出,基于量子电动力学(Quantum Electrodynamics,QED)理论,在发射端使用相对论回旋电子或者多电子可以直接辐射出携带OAM的电磁波,然后在接收端使用相对论电子吸收OAM量子态电磁波变为涡旋电子,通过识别涡旋电子的OAM模态来实现信息恢复。文献(Zhang,C.,Xu,P.&Jiang,X.Detecting superposed orbital angular momentum states in the magnetic fieldby the crystal diffraction.Eur.Phys.J.Plus 136,60(2021).)给出一种相应的涡旋电子OAM模态识别方法:将涡旋电子经金箔衍射放大波束的尺度,再通过映射器和分选装置将不同模态OAM电子分离到不同的位置,然后由位置判决的方法实现恢复信息。在实际应用中,接收端回旋管产生的磁场并不能直接被截断,而是在衍射金箔到荧光屏中间逐渐衰减。因此,涡旋电子会受到剩余磁场的影响而发生偏移发生严重的非线性畸变,按理想磁场建模的基于器件的方法进行OAM模态分离的效果并不理想。此外,也可以使用图像采集装置,如CCD(Charge Coupled Device,电荷耦合器件)相机来收集电子OAM的衍射图像,然后通过图像识别的方式进行OAM模态识别并恢复信息,但常规图像识别方法只能提取图像的边缘等表层特征,不能很好地应对由剩余磁场带来的非线性畸变。表1对上述常见的涡旋电子OAM模态识别方法进行了对比,主要是基于器件的方法和图像处理方法两类,两种方法各有优劣,但都不能较好地抵抗涡旋电子衍射图像发生的非线性畸变。所以亟需提出一种新的可以应对磁场非线性畸变影响且保证较高识别准确率和低硬件复杂度的OAM电子模态识别系统。Quantum state OAM realizes information transmission through orbital angular momentum carried by vortex electrons. Reference (Zhang, C., Xu, P., & Jiang, X. (2020). Vortex electron generated by microwave photon with orbitalangular momentum in a magnetic field .AIPAdvances, 10, 105230.) proposed that, based on the quantum electrodynamics (Quantum Electrodynamics, QED) theory, the use of relativistic gyrotrons or multi-electrons at the transmitting end can directly radiate electromagnetic waves carrying OAM, and then use relativistic electrons at the receiving end to absorb OAM The quantum state electromagnetic waves become vortex electrons, and information recovery is achieved by identifying the OAM modes of the vortex electrons. The literature (Zhang, C., Xu, P. & Jiang, X. Detecting superposed orbital angular momentum states in the magnetic field by the crystal diffraction. Eur. Phys. J. Plus 136, 60 (2021).) gives a corresponding Vortex electron OAM mode identification method: the vortex electrons are diffracted by gold foil to amplify the size of the beam, and then the different modal OAM electrons are separated into different positions by the mapper and sorting device, and then the information is recovered by the method of position judgment. . In practical applications, the magnetic field generated by the gyrotron at the receiving end cannot be cut off directly, but gradually attenuates between the diffractive gold foil and the phosphor screen. Therefore, the vortex electrons will be affected by the residual magnetic field and will be offset and severely nonlinearly distorted. The device-based method based on the ideal magnetic field modeling is not ideal for OAM mode separation. In addition, an image acquisition device, such as a CCD (Charge Coupled Device, Charge Coupled Device) camera, can also be used to collect the diffraction image of the electronic OAM, and then the OAM mode is recognized and the information is recovered by image recognition, but the conventional image recognition method only It can extract the surface features such as the edge of the image, and cannot deal with the nonlinear distortion caused by the residual magnetic field. Table 1 compares the above-mentioned common vortex electron OAM mode identification methods, mainly two types of device-based methods and image processing methods. Both methods have their own advantages and disadvantages, but neither can resist vortex electron diffraction well. Nonlinear distortions that occur in an image. Therefore, it is urgent to propose a new OAM electronic modal recognition system that can cope with the influence of nonlinear distortion of magnetic field and ensure high recognition accuracy and low hardware complexity.
表1:涡旋电子OAM模态识别方法对比Table 1: Comparison of vortex electron OAM mode identification methods
发明内容SUMMARY OF THE INVENTION
为了克服上述现有技术的不足,本发明提供了一种基于人工智能的涡旋电子模态识别系统,该系统通过在训练数据中引入大量畸变的OAM场强分布图像,并采用卷积提取神经网络进行深层特征提取。该系统可以在低成本和低硬件复杂度的前提下实现涡旋电子模态检测,且在图像发生严重畸变时仍能保证高识别准确率以及高识别速率,用于OAM量子态无线通信系统可以降低因接受端判别方法缺陷而造成的模态串扰。In order to overcome the above-mentioned deficiencies of the prior art, the present invention provides a vortex electronic mode recognition system based on artificial intelligence. The network performs deep feature extraction. The system can realize vortex electron modal detection under the premise of low cost and low hardware complexity, and can still ensure high recognition accuracy and high recognition rate when the image is severely distorted. It can be used in OAM quantum state wireless communication system. Reduce the modal crosstalk caused by the defect of the receiver's judgment method.
一种涡旋电子模态识别系统,包括:A vortex electronic mode identification system, comprising:
涡旋电子产生模块,用于产生回旋的电子,并与接收的OAM电磁波的轨道角动量耦合产生携带不同模态OAM的涡旋电子波束;The vortex electron generation module is used to generate swirling electrons and couple with the orbital angular momentum of the received OAM electromagnetic waves to generate vortex electron beams carrying different modes of OAM;
衍射放大模块,用于衍射放大所述涡旋电子波束的尺寸;a diffractive amplifying module for diffractively amplifying the size of the vortex electron beam;
图像接收与采集模块,用于接收衍射放大的涡旋电子波束并采集得到OAM场强分布图像;The image receiving and collecting module is used to receive the diffraction-amplified vortex electron beam and collect the OAM field intensity distribution image;
数据处理和识别模块,连接于所述图像接收与采集模块之后,用于接收所述OAM场强分布图像并进行数据处理和OAM模态识别,所述数据处理和识别模块包括:A data processing and identification module, after being connected to the image receiving and collecting module, is used to receive the OAM field intensity distribution image and perform data processing and OAM modal identification, and the data processing and identification module includes:
训练数据制备子模块,用于产生受剩余磁场影响的包含非线性畸变的OAM场强分布图像作为人工智能模型训练子模块的训练数据,其中,所述剩余磁场是指涡旋电子产生模块产生的在衍射放大模块到图像接收与采集模块之间逐渐衰减的磁场;The training data preparation sub-module is used to generate the OAM field strength distribution image containing nonlinear distortion affected by the residual magnetic field as the training data of the artificial intelligence model training sub-module, wherein the residual magnetic field refers to the generated magnetic field generated by the vortex electron generation module. The magnetic field that gradually decays between the diffraction amplifying module and the image receiving and acquisition module;
人工智能模型训练子模块,用于构建人工智能模型,并利用所述训练数据进行人工智能模型训练,从而得到验证识别准确率最高的人工智能模型;The artificial intelligence model training sub-module is used to construct an artificial intelligence model, and use the training data to train the artificial intelligence model, so as to obtain the artificial intelligence model with the highest verification and recognition accuracy;
模态识别子模块,使用所述验证识别准确率最高的人工智能模型对图像接收与采集模块采集的OAM场强分布图像进行实时OAM模态识别。The modal recognition sub-module uses the artificial intelligence model with the highest verification and recognition accuracy to perform real-time OAM modal recognition on the OAM field intensity distribution image collected by the image receiving and acquisition module.
可选的,用拉盖尔-高斯涡旋电子波束模拟沿z轴方向携带不同模态OAM的涡旋电子波束,其表达式为:Optionally, the Laguerre-Gaussian vortex electron beam is used to simulate the vortex electron beam carrying different modes of OAM along the z-axis, and its expression is:
其中是携带OAM的涡旋电子波束的波函数,是由径向量子数n和OAM模态数l决定的常数,是广义拉盖尔多项式,是束腰半径,其中是约化普朗克常数,e是元电荷,B是电子波束外部环境的磁感应强度,i是虚数单位,是柱坐标系的三个坐标变量,k是波数。in is the wave function of the vortex electron beam carrying the OAM, is a constant determined by the radial quantum number n and the OAM mode number l, is the generalized Laguerre polynomial, is the waist radius, where is the reduced Planck constant, e is the elementary charge, B is the magnetic induction intensity of the external environment of the electron beam, i is the imaginary unit, are the three coordinate variables of the cylindrical coordinate system, and k is the wave number.
可选的,所述涡旋电子产生模块产生的涡旋电子波束包括携带纯态OAM的涡旋电子波束,和/或多个混合态OAM的涡旋电子波束,其中,任一混合态OAM是多个纯态OAM组合而成。Optionally, the vortex electron beam generated by the vortex electron generation module includes a vortex electron beam carrying pure OAM, and/or a plurality of vortex electron beams of mixed state OAM, wherein any mixed state OAM is A combination of multiple pure OAMs.
可选的,所述涡旋电子产生模块包括电源、回旋管、超导磁体,其中回旋管包括电子枪和电子回旋产生模块,超导磁体位于电子回旋产生模块外,电源为电子枪供电,电子枪发射并加速的电子进入电子回旋产生模块,在超导磁体的磁场作用下进行回旋运动,OAM电磁波将其轨道角动量耦合到回旋的电子上,从而产生携带不同模态OAM的涡旋电子波束;Optionally, the vortex electron generating module includes a power source, a gyrotron, and a superconducting magnet, wherein the gyrotron includes an electron gun and an electron cyclotron generating module, the superconducting magnet is located outside the electron cyclotron generating module, the power source supplies power to the electron gun, and the electron gun emits and emits electricity. The accelerated electrons enter the electron cyclotron generation module and perform cyclotron motion under the action of the magnetic field of the superconducting magnet. The OAM electromagnetic wave couples its orbital angular momentum to the cyclotron electrons, thereby generating vortex electron beams carrying different modes of OAM;
所述衍射放大模块包括对所述涡旋电子波束进行衍射放大的多金晶体薄膜;The diffractive amplifying module includes a polygold crystal film that diffracts and amplifies the vortex electron beam;
图像接收与采集模块包括荧光屏和相机,所述荧光屏用于接收经衍射放大后的涡旋电子波束,所述相机用于采集荧光屏上的图像作为OAM场强分布图像。The image receiving and collecting module includes a phosphor screen and a camera, the phosphor screen is used for receiving the vortex electron beams amplified by diffraction, and the camera is used for collecting an image on the phosphor screen as an OAM field intensity distribution image.
可选的,所述训练数据包含受不同程度的剩余磁场影响的OAM场强分布图像,其中受所述剩余磁场影响产生的非线性畸变指的是OAM场强分布图像发生非线性发散和非线性会聚中的一种或多种情况。Optionally, the training data includes OAM field strength distribution images affected by different degrees of residual magnetic field, wherein the nonlinear distortion caused by the influence of the residual magnetic field refers to the nonlinear divergence and nonlinearity of the OAM field strength distribution image. One or more of the cases in convergence.
可选的,所述非线性发散和非线性会聚指的是,电子经所述剩余磁场畸变前后的两点距电子回旋中心O的距离满足下列关系:Optionally, the nonlinear divergence and nonlinear convergence refer to that the distances between two points before and after the electrons are distorted by the residual magnetic field and the electron cyclotron center O satisfy the following relationship:
其中r和r'分别是畸变前后电子在柱坐标下距电子回旋中心O的距离,R是电子回旋运动的半径,β是电子回旋运动的圆心角,并且,畸变前后电子的位置相对于电子回旋中心O的偏转角度由下式得到:where r and r' are the distance of the electron before and after the distortion from the electron cyclotron center O in cylindrical coordinates, R is the radius of the electron cyclotron motion, β is the central angle of the electron cyclotron motion, and the position of the electron before and after the distortion is relative to the electron cyclotron The deflection angle of the center O is given by:
α=arcsin(2R[sin(β/2)]2/r'2)。α=arcsin(2R[sin(β/2)] 2 /r′ 2 ).
可选的,所述人工智能模型包括卷积神经网络、决策树、多分类支持向量机(SVM)和K近邻算法中一种或多种的组合。Optionally, the artificial intelligence model includes a combination of one or more of convolutional neural network, decision tree, multi-class support vector machine (SVM) and K-nearest neighbor algorithm.
本发明还提供一种涡旋电子模态识别方法,包括如下步骤:The present invention also provides a vortex electronic mode identification method, comprising the following steps:
涡旋电子产生模块在接收到自由空间传播的OAM电磁波后,耦合所述OAM电磁波的轨道角动量到回旋电子上产生携带不同模态OAM的涡旋电子波束;After receiving the OAM electromagnetic wave propagating in free space, the vortex electron generating module couples the orbital angular momentum of the OAM electromagnetic wave to the cyclotron to generate vortex electron beams carrying different modes of OAM;
衍射放大模块对所述涡旋电子波束进行衍射放大;The diffraction amplification module performs diffraction amplification on the vortex electron beam;
图像接收与采集模块包括荧光屏和相机,所述荧光屏接收衍射放大的涡旋电子波束获得OAM场强分布图像,所述相机则实时采集该OAM场强分布图像并发送到数据处理和识别模块;The image receiving and collecting module includes a phosphor screen and a camera, the phosphor screen receives the diffracted and amplified vortex electron beam to obtain an OAM field intensity distribution image, and the camera collects the OAM field intensity distribution image in real time and sends it to the data processing and identification module;
数据处理和识别模块利用准确率最高的人工智能模型实时识别接收的OAM场强分布图像,完成OAM模态识别,The data processing and identification module uses the artificial intelligence model with the highest accuracy to identify the received OAM field intensity distribution image in real time, and complete the OAM modal identification.
其中数据处理和识别模块的训练数据制备子模块,将事先接收的受剩余磁场影响的包含非线性畸变的多个OAM场强分布图像进行二值化数据处理后作为一部分模型训练数据发送给人工智能模型训练子模块,训练数据制备子模块还通过仿真生成一部分畸变和/或非畸变的仿真OAM场强分布图像作为另一部分模型训练数据,所述一部分模型训练数据和/或所述另一部分模型训练数据共同组成训练数据,The training data preparation sub-module of the data processing and identification module performs binarization data processing on multiple OAM field strength distribution images that are affected by the residual magnetic field and contains nonlinear distortion, and then sends them to artificial intelligence as part of the model training data. The model training sub-module, the training data preparation sub-module also generates a part of the distorted and/or non-distorted simulated OAM field strength distribution images through simulation as another part of the model training data, the part of the model training data and/or the other part of the model training data The data together form the training data,
人工智能模型训练子模块利用所述训练数据进行人工智能模型训练,从而得到验证识别准确率最高的人工智能模型。The artificial intelligence model training sub-module uses the training data to train the artificial intelligence model, thereby obtaining the artificial intelligence model with the highest verification and recognition accuracy.
本发明还提供一种OAM模态识别装置,包括:The present invention also provides an OAM modal identification device, comprising:
训练数据制备子模块,用于产生受剩余磁场影响的包含非线性畸变的OAM场强分布图像作为人工智能模型训练子模块的训练数据,其中,所述剩余磁场是指涡旋电子产生模块产生的在衍射放大模块到图像接收与采集模块之间逐渐衰减的磁场;The training data preparation sub-module is used to generate the OAM field strength distribution image containing nonlinear distortion affected by the residual magnetic field as the training data of the artificial intelligence model training sub-module, wherein the residual magnetic field refers to the generated magnetic field generated by the vortex electron generation module. The magnetic field that gradually decays between the diffraction amplifying module and the image receiving and acquisition module;
人工智能模型训练子模块,用于构建人工智能模型,并利用所述训练数据进行人工智能模型训练,从而得到验证识别准确率最高的人工智能模型;The artificial intelligence model training sub-module is used to construct an artificial intelligence model, and use the training data to train the artificial intelligence model, so as to obtain the artificial intelligence model with the highest verification and recognition accuracy;
模态识别子模块,使用所述验证识别准确率最高的人工智能模型对图像接收与采集模块采集的OAM场强分布图像进行实时OAM模态识别。The modal recognition sub-module uses the artificial intelligence model with the highest verification and recognition accuracy to perform real-time OAM modal recognition on the OAM field intensity distribution image collected by the image receiving and acquisition module.
本发明还提供一种电子设备,所述电子设备包括:The present invention also provides an electronic device, the electronic device comprising:
至少一个处理器;以及,at least one processor; and,
与所述至少一个处理器通信连接的存储器;其中,a memory communicatively coupled to the at least one processor; wherein,
所述存储器存储有可被所述至少一个处理器执行的指令,所述指令被所述至少一个处理器执行,以使所述至少一个处理器能够执行如下步骤:The memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform the steps of:
将事先接收的受剩余磁场影响的包含非线性畸变的多个OAM场强分布图像进行二值化数据处理后作为一部分模型训练数据发送给人工智能模型训练子模块,训练数据制备子模块还通过仿真生成一部分畸变和/或非畸变的仿真OAM场强分布图像作为另一部分模型训练数据,所述一部分模型训练数据和/或所述另一部分模型训练数据共同组成训练数据;The multiple OAM field strength distribution images that are affected by the residual magnetic field and contain nonlinear distortion received in advance are processed into binarized data and sent to the artificial intelligence model training sub-module as part of the model training data. The training data preparation sub-module is also simulated by simulation. generating a part of the distorted and/or non-distorted simulated OAM field strength distribution images as another part of the model training data, and the part of the model training data and/or the other part of the model training data together constitute the training data;
利用所述训练数据进行人工智能模型训练,从而得到验证识别准确率最高的人工智能模型;Use the training data to perform artificial intelligence model training, thereby obtaining the artificial intelligence model with the highest verification and recognition accuracy;
利用准确率最高的人工智能模型实时识别接收的OAM场强分布图像,完成OAM模态识别。Use the artificial intelligence model with the highest accuracy to identify the received OAM field intensity distribution images in real time, and complete the OAM modal identification.
与现有技术相比,本发明的有益效果是:本发明的涡旋电子OAM模态识别系统不需要过多的器件,其硬件复杂度和成本都很低,且可以减小剩余磁场等造成的非线性畸变对识别结果的影响,识别准确率较高,可用于量子态OAM无线通信等众多应用场景中。Compared with the prior art, the beneficial effects of the present invention are: the vortex electron OAM modal identification system of the present invention does not require too many devices, the hardware complexity and cost are very low, and the residual magnetic field and other causes can be reduced. The influence of nonlinear distortion on the recognition results, the recognition accuracy is high, and it can be used in many application scenarios such as quantum state OAM wireless communication.
附图说明Description of drawings
本发明上述的和/或附加的方面和优点从下面结合附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and readily understood from the following description of embodiments taken in conjunction with the accompanying drawings, wherein:
图1为根据本发明实施例的涡旋电子模态识别系统的结构示意图;1 is a schematic structural diagram of a vortex electron mode identification system according to an embodiment of the present invention;
图2为根据本发明一个具体实施例的系统硬件结构示意图;2 is a schematic diagram of a system hardware structure according to a specific embodiment of the present invention;
图3为根据本发明一个具体实施例的电子畸变前后位置的几何关系图;3 is a geometrical relationship diagram of the position before and after electronic distortion according to a specific embodiment of the present invention;
图4(a)是受剩余磁场畸变前的纯态OAM(l=1)的OAM场强分布图;Figure 4(a) is the OAM field strength distribution of pure OAM (l=1) before being distorted by the residual magnetic field;
图4(b)是受剩余磁场影响后发生会聚的纯态OAM(l=1)的OAM场强分布图;Figure 4(b) is the OAM field strength distribution diagram of the convergent pure state OAM (l=1) under the influence of the residual magnetic field;
图4(c)是受剩余磁场影响后发生发散畸变的纯态OAM(l=1)的OAM场强分布图;Figure 4(c) is the OAM field strength distribution diagram of the pure OAM (l=1) with divergent distortion after being affected by the residual magnetic field;
图5(a1)-(d1)是受剩余磁场影响畸变前OAM模态分别为l={1,{1,-2},{3,-3},{1,2,3}}的电子束的场强分布;Figure 5(a1)-(d1) are the electrons whose OAM modes are l={1,{1,-2},{3,-3},{1,2,3}} before being distorted by the residual magnetic field The field strength distribution of the beam;
图5(a2)-(d2)是受剩余磁场影响后OAM模态分别为l={1,{1,-2},{3,-3},{1,2,3}}的电子束发生会聚畸变的场强分布图;Figure 5(a2)-(d2) are the electron beams with OAM modes l={1,{1,-2},{3,-3},{1,2,3}} after being affected by the residual magnetic field, respectively Field strength distribution map with convergence distortion;
图5(a3)-(d3)是受剩余磁场影响后OAM模态分别为l={1,{1,-2},{3,-3},{1,2,3}}的电子束发生发散畸变的场强分布图;Figure 5(a3)-(d3) are the electron beams with OAM modes l={1,{1,-2},{3,-3},{1,2,3}} after being affected by the residual magnetic field, respectively Field strength distribution map with divergent distortion;
图6(a)是无噪声(信噪比为+∞)时模态数l={3,-3}的OAM场强分布图;Figure 6(a) is the OAM field strength distribution diagram of the modal number l={3,-3} when there is no noise (signal-to-noise ratio is +∞);
图6(b)-(d)是添加高斯白噪声后信噪比SNR分别为30、20和15时模态数l={3,-3}的OAM场强分布图;Figure 6(b)-(d) are the OAM field strength distribution diagrams of the modal number l={3,-3} when the SNR is 30, 20 and 15 after adding white Gaussian noise;
图7为根据本发明一个具体实施例的卷积神经网络结构;7 is a convolutional neural network structure according to a specific embodiment of the present invention;
图8为根据本发明一个具体实施例的神经网络的损失函数值曲线;8 is a loss function value curve of a neural network according to a specific embodiment of the present invention;
图9为根据本发明一个具体实施例的神经网络的准确率曲线。FIG. 9 is an accuracy curve of a neural network according to an embodiment of the present invention.
具体实施方式Detailed ways
下面详细描述本发明的实施例,所述实施例的示例在附图中示出。下面通过参考附图描述的实施例是示例性的,旨在用于解释本发明,而不能理解为对本发明的限制。The following describes in detail the embodiments of the present invention, examples of which are illustrated in the accompanying drawings. The embodiments described below with reference to the accompanying drawings are exemplary, and are intended to explain the present invention and should not be construed as limiting the present invention.
如图1所示,一种涡旋电子模态识别系统10包括涡旋电子产生模块100、衍射放大模块200、图像接收与采集模块300、数据处理和识别模块400。As shown in FIG. 1 , a vortex electron
其中,涡旋电子产生模块100包括高压电源101、回旋管102和超导磁体103,其中回旋管102主要由高速电子枪1021和筒形的电子回旋产生模块构成。高压电源101为电子枪1021供电,提供电子加速所需的高压直流电,电子经电子枪1021发射并加速;超导磁体103位于回旋管的电子回旋产生模块外,电子在超导磁体103的磁场作用下进行高速回旋运动,自由空间传播的OAM电磁波照射到高速回旋电子后,将其轨道角动量耦合到回旋电子,即产生携带不同模态OAM的涡旋电子波束;衍射放大模块200,使用多金晶体薄膜201对涡旋电子波束进行衍射放大;图像接收与采集模块300位于衍射放大模块之后,包括荧光屏301和高速相机302。其中荧光屏301用于接收经衍射放大后的涡旋电子波束;高速相机302位于荧光屏之后,用于采集荧光屏上的OAM场强分布图像(即OAM电场强度分布图像);数据处理和识别模块400为搭建有卷积神经网络的计算机,其包括如下的子模块:训练数据制备子模块401,用于产生神经网络的训练数据;人工智能模型训练模块402,用于构建人工智能模型,例如卷积神经网络,并进行网络训练和验证;模态识别模块403,将采集的OAM场强分布图像输入训练好的卷积神经网络中进行OAM模态识别。该系统中各模块的位置关系如图2的系统硬件结构示意图所示。The vortex
本系统可作为量子态OAM无线通信的接收端,发射端通过发射不同模态数的OAM电磁波来传输信息,接收端接收所述发射端发射的OAM电磁波,通过本系统将接收到的OAM模态耦合到涡旋电子并经过衍射放大、数据处理后实现OAM模态的识别,即可恢复出发送的原始信息。本实例中系统所涉及的相关参数取值如表2所示。This system can be used as the receiving end of quantum state OAM wireless communication. The transmitting end transmits information by emitting OAM electromagnetic waves of different modal numbers. The receiving end receives the OAM electromagnetic waves emitted by the transmitting end, and the received OAM modal After coupling to the vortex electrons, diffraction amplification, and data processing to realize the identification of the OAM mode, the original information sent can be recovered. The values of the relevant parameters involved in the system in this example are shown in Table 2.
表2:相关参数列表Table 2: List of relevant parameters
本实施例中,涡旋电子产生模块100产生的携带OAM的涡旋电子波束可以用拉盖尔-高斯(Laguerre-Gaussian,LG)涡旋电子波束进行模拟,沿z轴方向(与涡旋电子回旋中心轴的轴向同向)的LG涡旋电子可描述为In this embodiment, the vortex electron beam carrying OAM generated by the vortex
其中是携带OAM的涡旋电子波束的波函数,是由径向量子数n和OAM模态数l决定的常数,是广义拉盖尔多项式,是束腰半径,其中是约化普朗克常数,e是元电荷,B是电子波束外部环境(即回旋管外的超导磁体)的磁感应强度,i是虚数单位,是柱坐标系的三个坐标变量,k是波数。in is the wave function of the vortex electron beam carrying the OAM, is a constant determined by the radial quantum number n and the OAM mode number l, is the generalized Laguerre polynomial, is the waist radius, where is the reduced Planck constant, e is the elementary charge, B is the magnetic induction of the external environment of the electron beam (ie, the superconducting magnet outside the gyrotron), i is the imaginary unit, are the three coordinate variables of the cylindrical coordinate system, and k is the wave number.
本实施例中,剩余磁场沿z轴方向,大小为Bz沿z轴衰减,是恒定磁场。受洛伦兹力影响,电子作螺旋线运动,即除了沿z轴运动外,还会沿着与z轴垂直的平面作逆时针的圆周运动。由于不同模态的涡旋电子经衍射后的出射角不同,所以在剩余磁场中的回旋半径也不同,其回旋半径R可由下式计算得出:In this embodiment, the residual magnetic field is along the z-axis direction, and the magnitude is B z decays along the z-axis, which is a constant magnetic field. Affected by the Lorentz force, the electrons move in a spiral, that is, in addition to moving along the z-axis, they will also make a counterclockwise circular motion along a plane perpendicular to the z-axis. Since the diffracted exit angles of vortex electrons in different modes are different, the radius of gyration in the residual magnetic field is also different, and the radius of gyration R can be calculated by the following formula:
其中γ是电子的洛伦兹因子,me是电子质量,e是电子元电荷,v是电子衍射前的速度,θ是衍射后电子的出射角。由于出射角θ很小,与衍射前相比刚开始剩余磁场较大,所以电子的回旋半径很小,由于剩余磁场沿z轴方向衰减,所以电子回旋半径会逐渐变大。where γ is the Lorentz factor of the electron, me is the mass of the electron, e is the electron elementary charge, v is the velocity of the electron before diffraction, and θ is the exit angle of the electron after diffraction. Since the exit angle θ is very small, the residual magnetic field is relatively large at the beginning compared with before diffraction, so the gyration radius of the electrons is small. Since the residual magnetic field decays along the z-axis direction, the electron gyration radius will gradually increase.
在剩余磁场的作用下,电子的回旋运动造成图像接收与采集模块300采集得到的OAM场强分布图像在剩余磁场的作用下发生畸变,即在柱坐标下沿着径向发散或会聚,电子畸变前后位置的几何关系如图3所示,其中点A和点A'分别是电子衍射后的位置和经磁场畸变后落在荧光屏上的位置,则两点距电子回旋中心轴O的距离关系为:Under the action of the residual magnetic field, the cyclotron motion of the electrons causes the OAM field intensity distribution image collected by the image receiving and
其中r和r'分别是畸变前后电子在柱坐标下距电子回旋中心的距离,R是电子回旋运动的半径,β是电子回旋运动的圆心角。此外,发生畸变后相对落在荧光屏的位置会沿逆时针方向偏转一个角度,畸变前后电子的位置相对于电子回旋中心轴O的偏转角度可由下式得到Among them, r and r' are the distances of the electrons before and after the distortion from the electron cyclotron center in cylindrical coordinates, R is the radius of the electron cyclotron motion, and β is the central angle of the electron cyclotron motion. In addition, after the distortion occurs, the relative position falling on the phosphor screen will be deflected by an angle in the counterclockwise direction, and the deflection angle of the electron position before and after the distortion relative to the central axis O of the electron gyration can be obtained by the following formula
α=arcsin(2R[sin(β/2)]2/r'2) (4)α=arcsin(2R[sin(β/2)] 2 /r' 2 ) (4)
对单一模态的纯态OAM,可以用OAM的场强分布图来表示剩余磁场对纯态OAM涡旋电子(以l=1为例)的影响,其中图4(a)是受剩余磁场畸变前的OAM场强分布,图4(b)是受剩余磁场影响后发生会聚畸变的OAM场强分布图,图4(c)是受剩余磁场影响后发生发散畸变的OAM场强分布图。发生畸变图像的中心空洞变小或变大,使得不同的纯OAM模态间发生模态模糊,造成接收端无法识别。本发明中涡旋电子产生模块产生的涡旋电子可以是携带任意纯态OAM的涡旋电子,和/或携带混合态OAM的涡旋电子,所述混合态OAM是指多个纯态OAM组合。例如,下面是1种纯态OAM与3种混合态OAM的场强分布图,其OAM模态数l={1,{1,-2},{3,-3},{1,2,3}},其中,l=1是纯态OAM,l={1,-2}、{3,-3}、{1,2,3}分别是三种混合态OAM。For the pure OAM of a single mode, the field strength distribution diagram of the OAM can be used to represent the influence of the residual magnetic field on the pure OAM vortex electrons (taking l=1 as an example), in which Fig. 4(a) is distorted by the residual magnetic field. Figure 4(b) is the OAM field strength distribution with convergence distortion after being affected by the residual magnetic field, and Figure 4(c) is the OAM field strength distribution with divergent distortion after being affected by the residual magnetic field. The central hole of the distorted image becomes smaller or larger, which causes modal blurring between different pure OAM modes, causing the receiver to fail to recognize it. The vortex electrons generated by the vortex electron generating module in the present invention may be vortex electrons carrying any pure state OAM, and/or vortex electrons carrying mixed state OAMs, where the mixed state OAM refers to a combination of multiple pure state OAMs . For example, the following is the field strength distribution diagram of 1 pure state OAM and 3 mixed state OAM, the OAM mode number l={1,{1,-2},{3,-3},{1,2, 3}}, where l=1 is pure OAM, and l={1,-2}, {3,-3}, {1,2,3} are three mixed OAMs, respectively.
其中图5(a1)-(d1)是受剩余磁场畸变前不同电子束的场强分布,图5(a2)-(d2)是受剩余磁场影响后不同电子束发生会聚畸变的场强分布图,图5(a3)-(d3)是受剩余磁场影响后不同电子束发生发散畸变的场强分布图。本实例中,作为量子态OAM无线通信的接收端,为保证较低的误比特率,发射端用一种纯态和3种场强分布图类间差异性大的混合态OAM来进行数据传输,其LG模态数l={1,{1,-2},{3,-3},{1,2,3}},分别表示四进制数0-3,即四阶调制的通信系统。Figure 5(a1)-(d1) is the field strength distribution of different electron beams before being distorted by the residual magnetic field, and Figure 5(a2)-(d2) is the field strength distribution of different electron beams with convergence distortion after being affected by the residual magnetic field , Figures 5(a3)-(d3) are the field strength distribution diagrams of divergent distortion of different electron beams under the influence of the residual magnetic field. In this example, as the receiving end of quantum state OAM wireless communication, in order to ensure a low bit error rate, the transmitting end uses a pure state and a mixed state OAM with a large difference between the three types of field intensity distribution diagrams for data transmission. , its LG modal number l={1,{1,-2},{3,-3},{1,2,3}}, which respectively represent quaternary numbers 0-3, that is, the communication of fourth-order modulation system.
本实施例中,训练数据制备子模块生成多种剩余磁场等级的畸变数据作为训练数据,并引入不同信噪比等级的位置高斯噪声,且各等级的含噪数据集的占比相同,如图6所示,是无噪声和信噪比(SNR)分别为30、20和15时±3模态的OAM场强分布图。为验证训练模型的泛在性,验证集数据采用训练集中没有的不同程度的畸变数据。In this embodiment, the training data preparation sub-module generates distortion data of various residual magnetic field levels as training data, and introduces positional Gaussian noise of different signal-to-noise ratio levels, and the proportion of noisy data sets at each level is the same, as shown in the figure Shown in 6 are the OAM field strength distributions for ±3 modes with no noise and signal-to-noise ratio (SNR) of 30, 20, and 15, respectively. In order to verify the ubiquity of the training model, the data in the validation set are distorted data of different degrees that are not in the training set.
本实施例中,AI(人工智能)模型具体采用卷积神经网络,输入数据的大小为128×128的OAM场强分布图像,输出其对应的模态类别,本实例的4种模态对应4个类别。优选地,对于模态类别采用独热编码。In this embodiment, the AI (artificial intelligence) model specifically adopts a convolutional neural network, the input data is an OAM field intensity distribution image with a size of 128×128, and the corresponding modal category is output. The 4 modalities in this example correspond to 4 categories. Preferably, one-hot encoding is used for the modality categories.
本实施例采用的卷积神经网络结构如图7所示,包含依次连接的输入层、5个卷积池化层和1个全连接层以及输出层,其中每个卷积池化层都包括依次连接的卷积层和池化层,其中卷积池化层对OAM场强分布图像进行特征学习和提取,除了形状、纹理、颜色、边缘等特征外,主要是经过大量数据训练还可提取剩余磁场引入的非线性畸变的特征,即较深层的、数据集特定的特征表示。这些隐藏特征对数据集的表达更高效和准确,所提取的抽象特征鲁棒性更强,从而可以获得更高的识别准确率。如图7所示,各卷积层都包含有多个5×5的卷积核,例如,第一个卷积层包含20个5×5的卷积核。其中最大池化层包含2×2的池化窗口。The structure of the convolutional neural network used in this embodiment is shown in Figure 7, which includes an input layer, 5 convolutional pooling layers, 1 fully connected layer, and an output layer connected in sequence, wherein each convolutional pooling layer includes The convolutional layer and the pooling layer are connected in turn. The convolutional pooling layer performs feature learning and extraction on the OAM field intensity distribution image. In addition to the features such as shape, texture, color, and edge, it can also be extracted after a large amount of data training. Features of nonlinear distortion introduced by residual magnetic fields, i.e. deeper, dataset-specific feature representations. These hidden features are more efficient and accurate in expressing the dataset, and the extracted abstract features are more robust, so that higher recognition accuracy can be obtained. As shown in Figure 7, each convolutional layer contains multiple 5×5 convolution kernels, for example, the first convolutional layer contains 20 5×5 convolution kernels. The max pooling layer contains a 2×2 pooling window.
采用交叉熵来表示当前训练得到的卷积神经网络对训练数据的不拟合程度,即交叉熵损失函数,其表达式为The cross entropy is used to represent the degree of unfitness of the currently trained convolutional neural network to the training data, that is, the cross entropy loss function, whose expression is
其中X是神经网络的输入数据,即OAM场强分布图像数据,n为输入数据样本的个数,f(·)表示神经网络输出的OAM模态类别,Y表示真实的OAM模态类别。Where X is the input data of the neural network, that is, the image data of the OAM field intensity distribution, n is the number of input data samples, f( ) represents the OAM modal category output by the neural network, and Y represents the real OAM modal category.
本实施例卷积神经网络的损失函数值与准确率随训练次数的变化曲线如图8和图9所示,对1000张OAM场强分布图像进行训练和验证,更新网络参数使损失函数尽可能取得最小值。The change curves of the loss function value and accuracy rate of the convolutional neural network in this embodiment with the number of training times are shown in Figure 8 and Figure 9. 1000 OAM field strength distribution images are trained and verified, and the network parameters are updated to make the loss function as much as possible. get the minimum value.
采用自适应矩估计(adaptive moment estimation,Adam)优化器在训练过程中求损失函数的梯度,从而通过梯度更新网络参数值使得损失函数不断向最小值搜索迭代。优化器的批处理尺寸为32,训练30次后的人工智能模型在训练集上的准确率为99.46%,验证集准确率可达99.99%。对常规方法,即一般的卷积神经网络,并未考虑剩余磁场对OAM场强分布的影响,采用与本实例的相同的网络结构、损失函数和优化方法等训练参数,但训练数据是不包含畸变的样本,训练所得的AI模型与本实例所提出的AI模型在相同的测试数据集上进行测试,本发明所述实例的方法与常规方法的识别准确率分别为95.75%和69.75%,所以本发明所述实例的识别方法在识别准确率上具有明显的优势。The adaptive moment estimation (Adam) optimizer is used to obtain the gradient of the loss function during the training process, so that the network parameter value is updated through the gradient, so that the loss function continues to iterate toward the minimum value. The batch size of the optimizer is 32, and the accuracy of the artificial intelligence model after training 30 times is 99.46% on the training set and 99.99% on the validation set. For the conventional method, that is, the general convolutional neural network, the influence of the residual magnetic field on the OAM field strength distribution is not considered, and the training parameters such as the same network structure, loss function and optimization method as in this example are used, but the training data does not contain Distorted samples, the AI model obtained from training and the AI model proposed in this example are tested on the same test data set. The recognition accuracy of the method of the example of the present invention and the conventional method are 95.75% and 69.75% respectively, so The identification method of the example described in the present invention has obvious advantages in identification accuracy.
以上是以卷积神经网络作为AI模型来举例说明的,实际上,该AI模型还可以是卷积神经网络、决策树、多分类支持向量机(SVM)和K近邻算法这些模型中一种或多种的组合。具体的,采用集成学习技术将这些模型组合集成后进行图像识别和分类,即针对同一个训练集训练不同的弱分类器,然后把这些弱分类器集合起来,构成一个更强的强分类器作为最终分类器,常用的组合方法有boosting和adaboost等。The above uses convolutional neural network as an example of AI model. In fact, the AI model can also be one of convolutional neural network, decision tree, multi-class support vector machine (SVM) and K-nearest neighbor algorithm. various combinations. Specifically, the ensemble learning technology is used to integrate these models for image recognition and classification, that is, to train different weak classifiers for the same training set, and then combine these weak classifiers to form a stronger strong classifier as a The final classifier, the commonly used combination methods are boosting and adaboost.
尽管上面已经给出了本发明的一个具体实施例,但是,可以理解的是,上述实施例是示例性的,不能作为对本发明的限制,本领域的普通技术人员在本发明的范围内可以对上述实施例进行变化、修改、替换和变形。Although a specific embodiment of the present invention has been given above, it should be understood that the above-mentioned embodiment is exemplary and cannot be used as a limitation of the present invention. Variations, modifications, substitutions and alterations are made to the above-described embodiments.
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