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Development of a control and unit positioning system for a mechatronic rehabilitation complex 为机电一体化康复综合设施开发控制和单元定位系统
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-23-34
D. P. Verhovod, V. V. Voronoy, Sergey Y. Pobedinsky
A high pace of modern medical technologies development in the world requires the introduction of intelligent robotic equipment into Russian practice, which allows us to take the healthcare sector to a new level. Due to the progression of diseases of the patients’ musculoskeletal system and an increase in spinal injuries, rehabilitation equipment is becoming increasingly important. In addition, the development of domestic robotic rehabilitation complexes that match or exceed the functionality of foreign analogues is currently required. A fairly new area of modern medicine is a clinical analysis of biomechanical parameters and study of gait pathology using biomechanical models. Currently, to build parametric models, motion capture methods are being developed that make it possible to reconstruct and visualize the movement of human limbs, as well as to estimate various dynamic quantities, for example, motor forces or ground reaction force. The results obtained are used in rehabilitation complexes, video games, sports simulators, etc., where input data are user parameters recorded in real time. The results obtained allow us to conclude that it is necessary to further improve the characteristics of the rehabilitation complex by making changes to the mechanical design of the complex, as well as adjusting the mathematical model of the control system with additional calculations and modeling of the system structure. The developed experimental model of a mechatronic rehabilitation complex is based on the principles of subordinate regulation by actuators using PD regulators. And the desired coordinates of the movement of a person’s leg, obtained using a motion capture complex, are used as a driving signal for the control system.
世界现代医疗技术的高速发展要求俄罗斯引进智能机器人设备,这使我们能够将医疗保健行业提升到一个新的水平。由于患者肌肉骨骼系统疾病的发展和脊柱损伤的增加,康复设备变得越来越重要。此外,目前还需要开发与国外类似设备功能相匹配或超越其功能的国产机器人康复综合设备。现代医学的一个相当新的领域是使用生物力学模型对生物力学参数进行临床分析和步态病理学研究。目前,为了建立参数模型,正在开发运动捕捉方法,从而可以重建和可视化人体肢体的运动,并估算各种动态量,如运动力或地面反作用力。获得的结果可用于康复综合设施、视频游戏、运动模拟器等,输入数据是实时记录的用户参数。根据所获得的结果,我们可以得出结论,有必要通过改变康复综合系统的机械设计,以及通过额外的计算和系统结构建模来调整控制系统的数学模型,从而进一步改善康复综合系统的特性。所开发的机电一体化康复综合体实验模型是以使用 PD 调节器的执行器从属调节原理为基础的。利用运动捕捉综合系统获得的人体腿部运动所需坐标被用作控制系统的驱动信号。
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引用次数: 0
Analysis of operator eye movement characteristics to determine the degree of fatigue 分析操作员眼球运动特征以确定疲劳程度
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-7-22
Alexandr O. Bulygin
The article presents a method for searching characteristics of eye movements that correlate with fatigue. There are many characteristics of eye movements to determine fatigue. All these characteristics are calculated from such basic concepts of gaze movement as fixation and saccade. Characteristics can also be divided by the types of physical events on which they are based. It is possible to distinguish such characteristics as speed, time, quantity, size, percentage, frequency and ratio characteristics. To search for correlations between eye movement characteristics and fatigue, a dataset of eye movements and the results of the VAS-F fatigue questionnaire were analyzed in 6 subjects. The data set consists of operator parameters such as eye movements, scene camera image and gaze direction. To determine the level of fatigue, the participant completed the VAS-F questionnaire. This questionnaire consists of 18 questions about the degree of fatigue or enrgetic of a person. Each record from the data set corresponds to a questionnaire result. 60 characteristics of eye movements and the corresponding VAS-F test values were analyzed and the correlation between them was calculated. The characteristics of eye movements were then sorted in descending order of the obtained correlation values. For further analysis, the first 20 characteristics with the highest correlation were selected from each participant. A search was then made for characteristics that were found in two-thirds or more of the participants among the first 20 characteristics. As a result, 10 characteristics of eye movements were found that correlated with VAS-F test scores for each participant.
文章介绍了一种搜索与疲劳相关的眼球运动特征的方法。有许多眼球运动特征可用于判断疲劳。所有这些特征都是根据凝视运动的基本概念(如固定和囊状移动)计算出来的。特征还可以根据其所依据的物理事件类型进行划分。可以区分速度、时间、数量、大小、百分比、频率和比率等特征。为了寻找眼球运动特征与疲劳之间的相关性,我们对 6 名受试者的眼球运动数据集和 VAS-F 疲劳问卷结果进行了分析。数据集包括眼球运动、场景相机图像和注视方向等操作员参数。为了确定疲劳程度,受试者填写了 VAS-F 问卷。该问卷由 18 个关于人的疲劳或精力充沛程度的问题组成。数据集中的每条记录都对应一个问卷结果。我们分析了 60 个眼球运动特征和相应的 VAS-F 测试值,并计算了它们之间的相关性。然后,按照相关值从高到低的顺序对眼球运动特征进行排序。为了进一步分析,从每位参与者中选出了相关性最高的前 20 个特征。然后,在前 20 个特征中寻找在三分之二或更多参与者中发现的特征。结果,我们为每位参与者找到了 10 个与 VAS-F 测试得分相关的眼球运动特征。
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引用次数: 0
An algorithm for estimating the deformation of floor slabs based on the span-support topology of the building 基于建筑物跨度-支撑拓扑结构的楼板变形估算算法
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-35-54
Vladislav I. Zinov, Vadim M. Kartak, Yuliya I. Valiakhmetova
Planning the supporting structures of a building is a problem of an extremely wide choice. At the same time, the estimation of one option by the finite element method takes too much time to apply automated and decision support tools. Therefore, it is proposed to identify a quickly calculated estimation of the supports plan which would allow comparing two support plans correctly in terms of potential deformations. To achieve this, the existing heuristic approaches modeling the functional relationship between the plan of supports and the resulting deformations were analyzed. In this paper spans are taken as the basis for the estimation. Further, the problem of spans determining is formulated which is reduced to the problem of the geometric coverage of multicoherent orthogonal polygon. The objective function is the maximization of the correlation between the detected estimate and the actual calculated values of deformations. To determine the spans on the floor area, a new algorithm based on the sweep line algorithm is proposed which consists of three steps: partitioning the floor area, determining the proximity of partitioned sections and assembling sections into spans. In order to determine the main estimate for a span-support topology, a single span estimation is derived based on three parameters: span area, aspect ratio and topology of supports that bound the span. Since the last parameter is qualitative, an additional analysis of quantitative parameters that can correctly describe it was carried out. The analysis criterion was the correlation with the calculated deformations in the span. The parameter of the maximum perimeter distance between the supports was recognized as the best parameter. The best function for estimating the spans was selected. In addition, various approaches to assembling spans from partition sections at the last step of the algorithm were analyzed.
规划建筑物的支撑结构是一个选择范围极广的问题。同时,用有限元法估算一种方案需要花费太多时间,无法应用自动化和决策支持工具。因此,我们建议确定一种快速计算的支撑方案估算方法,以便正确比较两种支撑方案的潜在变形。为此,我们分析了现有的启发式方法,这些方法对支撑计划和由此产生的变形之间的功能关系进行了建模。本文将跨度作为估算的基础。此外,还提出了跨度确定问题,并将其简化为多相干正交多边形的几何覆盖问题。目标函数是最大化检测到的估计值与实际计算的变形值之间的相关性。为了确定楼面面积的跨度,提出了一种基于扫掠线算法的新算法,该算法包括三个步骤:划分楼面面积、确定划分部分的邻近程度以及将部分组合成跨度。为了确定跨度-支撑拓扑结构的主要估算值,可根据三个参数得出单一跨度估算值:跨度面积、长宽比和跨度边界支撑的拓扑结构。由于最后一个参数是定性的,因此需要对能够正确描述它的定量参数进行额外分析。分析标准是与跨中计算变形的相关性。支撑间最大周长距离参数被认为是最佳参数。选择了估算跨度的最佳函数。此外,还分析了在算法最后一步从分区段组装跨度的各种方法。
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引用次数: 0
Study of the issues of methods for determining the type of content in incoming traffic 研究确定输入流量内容类型的方法问题
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-69-84
I. Reva, M. Medvedev, Inna V. Vorontsova
Content filtering in the context of cybersecurity and trusted environments is an important tactic used to ensure network security and functionality. It works by restricting access to certain websites, emails, files or other content that may contain harmful elements or pose a significant risk of infection. Content filtering ensures the security not only of an individual user's data, but also of an entire network of organizations and institutions, helping to minimize the risk of malicious security breaches. The study of methods for determining the type of content in incoming traffic is a relevant and important area in the field of information security and network analytics. In today's Internet space, a significant amount of data is transmitted through networks, and one of the key tasks is the classification of this traffic to ensure security and effective network management. Methods for determining the type of content in incoming traffic are a set of algorithms and approaches that allow you to automatically determine what type of data is transmitted over the network. In the course of studying the problems of methods for determining the type of content in incoming traffic, data on network traffic is collected, a data set is selected for training the model, we consider classifier algorithms and focus on metrics for assessing classification efficiency. The results of the study can be used to create effective systems for detecting malicious or unwanted content, filtering data, or optimizing the operation of network resources. The study of methods for determining the type of content in incoming traffic is of practical importance and can be applied in various fields, including information security, network analytics, monitoring of network resources and optimization of network processes.
在网络安全和可信环境中,内容过滤是确保网络安全和功能的重要手段。它的工作原理是限制访问某些可能包含有害元素或构成重大感染风险的网站、电子邮件、文件或其他内容。内容过滤不仅能确保单个用户数据的安全,还能确保整个组织和机构网络的安全,有助于最大限度地降低恶意安全漏洞的风险。研究确定传入流量内容类型的方法是信息安全和网络分析领域的一个重要相关领域。在当今的互联网空间,大量数据通过网络传输,其中一项关键任务就是对这些流量进行分类,以确保安全和有效的网络管理。确定传入流量内容类型的方法是一套算法和方法,可以自动确定通过网络传输的数据类型。在研究确定传入流量内容类型方法问题的过程中,我们收集了网络流量数据,选择了用于训练模型的数据集,考虑了分类器算法,并重点研究了评估分类效率的指标。研究结果可用于创建有效的系统,以检测恶意或不需要的内容、过滤数据或优化网络资源的运行。研究确定传入流量中内容类型的方法具有重要的现实意义,可应用于信息安全、网络分析、网络资源监控和网络流程优化等多个领域。
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引用次数: 0
A neural network method for path planning in a two-dimensional space 二维空间路径规划的神经网络方法
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-55-68
Dmitry S. Lukin, Evgeny Yu. Kosenko
Currently, the robotization of various spheres of human life is moving at a high pace. Robots of various types and purposes are used everywhere, from storage robots moving along a given route or markers to high-tech robotic complexes that solve tasks with minimal operator participation. Robotics technology continues to evolve, and its potential for automation and solving various tasks is constantly expanding. One of the key issues of increasing the autonomy of mobile robots is the development of new and improvement of the existing approaches to controlling the movement of robots, in particular to path planning. In this paper, the task of path planning is solved using artificial neural networks and deep machine learning with reinforcement, in which the robot learns to choose actions in the environment in such a way as to maximize some numerical reward or achieve a certain goal. This approach allows you to plan the trajectory of movement by modeling the environment, the behavior of the robot, as well as the interaction between them. The reinforcement learning method provides an effective way for robots and autonomous systems to learn to adapt to diverse conditions and perform path planning tasks. In this paper, the possibility of solving the problem of planning movement to a given point using the method of approximate strategy optimization and the "Action – Criticism" method is investigated. The results obtained show the possibility of solving the task when learning on a relatively small number of episodes. The proposed approach can be used to control ground-based robotic systems for various purposes.
目前,人类生活各个领域的机器人化正在高速发展。各种类型和用途的机器人随处可见,从沿着指定路线或标记移动的存储机器人,到只需极少操作员参与即可完成任务的高科技机器人综合体。机器人技术不断发展,其自动化和解决各种任务的潜力也在不断扩大。提高移动机器人自主性的关键问题之一是开发新的和改进现有的机器人运动控制方法,特别是路径规划。在本文中,路径规划任务是利用人工神经网络和带强化的深度机器学习来解决的,在这种方法中,机器人学会在环境中选择行动,以最大化某些数字奖励或实现某个目标。通过这种方法,可以对环境、机器人的行为以及它们之间的相互作用进行建模,从而规划运动轨迹。强化学习法为机器人和自主系统提供了一种有效的学习方法,使其能够适应各种条件并执行路径规划任务。本文研究了使用近似策略优化法和 "行动-批评 "法解决向给定点运动规划问题的可能性。研究结果表明,在对相对较少的事件进行学习时,有可能解决这一任务。所提出的方法可用于控制各种用途的地面机器人系统。
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引用次数: 0
A methodology for selecting algorithms for optimizing the resilience of energy infrastructures 优化能源基础设施复原力的算法选择方法
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-97-129
A V Edelev, Natalya M. Beresneva, Roman O. Kostromin
The article considers one of the most difficult tasks of studying the resilience of energy infrastructures – finding effective combinations of measures to increase resilience. To solve this problem, the article describes an approach that considers it as a problem of structural-parametric optimization of energy infrastructures, which is built according to a two- or three-level scheme. The approach described in the article adds another layer to the middle of the above scheme, which checks the efficiency of the selected equipment under extreme conditions created by a given set of large disturbances. The main disadvantage that the approach inherits from the structural-parametric optimization of energy infrastructures is a high computational complexity of the multilevel optimization scheme. However, the unacceptable calculation time can be explained by the selection of inappropriate optimization algorithms. In the papers concerning the structural-parametric optimization of energy infrastructures publ in the literature, the question of comparing optimization algorithms with each other is clearly not raised. Therefore, this article proposes a three-stage methodology for selecting optimization algorithms, according to which, before solving a specific problem of optimizing the resilience of energy infrastructures, first test the algorithms, and then choose the best one based on a multi-criteria analysis of the test results. To apply the methodology, it is necessary to develop a special lightweight version of the task of optimizing resilience and prepare a testbed for organizing and conducting test computational experiments. The application of the methodology is demonstrated by the example of choosing heuristic methods for finding optimal solutions from the PaGMO library used at the external level of the resilience optimization scheme of the Unified Gas Supply System of Russia. In total, five popular evolutionary algorithms were tested, the most suitable of which turned out to be a genetic sorting algorithm without NSGA-II dominance.
文章探讨了研究能源基础设施抗灾能力最困难的任务之一--找到提高抗灾能力的有效措施组合。为解决这一问题,文章介绍了一种将其视为能源基础设施结构参数优化问题的方法,该方法按照两层或三层方案构建。文章中描述的方法在上述方案的中间增加了另一层,即在一组给定的大干扰造成的极端条件下检查所选设备的效率。该方法继承了能源基础设施结构参数优化的主要缺点,即多级优化方案的计算复杂度较高。然而,计算时间过长的原因可能是选择了不合适的优化算法。在已发表的有关能源基础设施结构参数优化的论文中,显然没有提出相互比较优化算法的问题。因此,本文提出了优化算法选择的三阶段方法,即在解决能源基础设施弹性优化的具体问题之前,首先测试算法,然后根据测试结果的多标准分析选择最佳算法。为了应用该方法,有必要为优化弹性任务开发一个特殊的轻量级版本,并准备一个测试平台,用于组织和开展测试计算实验。以俄罗斯统一天然气供应系统弹性优化方案外部层面使用的 PaGMO 库中选择启发式方法寻找最优解为例,展示了该方法的应用。总共测试了五种流行的进化算法,其中最合适的算法是无 NSGA-II 优势的遗传排序算法。
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引用次数: 0
Determination of the dependence of the apparent density of ceramic samples on the molding moisture content of clay raw materials and compaction pressure based on regression models 基于回归模型确定陶瓷样品表观密度与粘土原料成型含水量和压实压力的关系
Pub Date : 2023-12-24 DOI: 10.17212/2782-2001-2023-4-85-96
Oksana C. Chernikova, Natalia A. Chernenko
The paper proposes to use white clay with the highest apparent density to improve the production of wire-ceramic resistors. Preliminary studies of white clay have shown that it is more sensitive to drying than red clay. The intensity of moisture output from the center of the product to its surface during the manufacturing process and the drying characteristics of white clay give greater shrinkage and strength of dry samples. Linear and nonlinear multiple regression models with and without multicollinearity are considered to find the dependence of the apparent density of clay raw materials on humidity and pressing pressure. To clarify the model structures, a two-stage approach is used, which involves building a model for residuals. It is found that the combination of a multiple regression model taking into account multicollinearity with an AR model constructed for residues makes it possible to calculate the apparent density of clay raw materials with the smallest standard deviation from experimental data. The obtained model structures will be used to determine the optimal parameters of forming ceramic samples: the moisture content of clay raw materials and the compaction pressure, at which the greatest apparent density of samples is achieved. This will improve the production technology of wire-ceramic resistors. The use of wire-ceramic resistors based on white clay with the highest apparent density will speed up one of the stages of the technological process – drying and reduce their hygroscopicity. As a result of the use of wire-ceramic resistors with the highest apparent density, the mechanical strength of the products will increase, which will improve the operational characteristics and prolong the life of the products.
本文建议使用表观密度最高的白粘土来改进线瓷电阻器的生产。对白粘土的初步研究表明,白粘土比红粘土对干燥更敏感。在生产过程中,水分从产品中心向表面输出的强度以及白粘土的干燥特性使干燥样品的收缩率和强度更大。为了找出粘土原料表观密度与湿度和压制压力的关系,我们考虑了有多重共线性和无多重共线性的线性和非线性多元回归模型。为明确模型结构,采用了两阶段方法,包括建立残差模型。研究发现,考虑到多重共线性的多元回归模型与为残差建立的 AR 模型相结合,可以计算出与实验数据标准偏差最小的粘土原料表观密度。获得的模型结构将用于确定陶瓷样品成型的最佳参数:粘土原料的含水量和压实压力,在这两个参数下,样品的表观密度最大。这将改进线状陶瓷电阻器的生产技术。使用表观密度最大的白粘土制成的线状陶瓷电阻器将加快工艺流程的一个阶段--干燥,并降低其吸湿性。由于使用了表观密度最高的陶瓷线电阻器,产品的机械强度将得到提高,这将改善产品的运行特性并延长其使用寿命。
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引用次数: 0
Identification of locally-adaptive regression models with triangular indicator functions 具有三角形指标函数的局部自适应回归模型辨识
Pub Date : 2023-06-20 DOI: 10.17212/2782-2001-2023-2-7-22
A. A. Popov
The basic idea of constructing locally-adaptive regression models (LAR models) consists in the use of regressors defined on the local subregions of factor values. The belonging of factor values to a particular local subdomain is set by indicator functions. Indicator functions by their nature are close to the well-known concepts of membership functions from the theory of fuzzy systems (Fuzzy Systems). As a rule, to provide the required smoothness of the required dependence of the response on the acting factors such local subdomains are defined with overlapping - in the form of the so-called fuzzy partitions. Type or type of indicator functions may be very different: triangular, trapezoidal, and non-linear. Specifying one or another type of indicator function determines the scheme of weighing local models. Each indicator function must be defined for the entire range of the corresponding factor. Triangular-type functions are used as indicator functions in this work. Linear factor models are considered as local models. It is noted that in their original form the proposed LAR models are not identifiable. The issue of identification of such models in the case of joint estimation of all parameters is considered. The procedure of model reduction is introduced. The resulting model is written out in the space of functions that allow estimation. In the case of dividing the domain of factor determination into two, three or four fuzzy partitions we propose the basis of functions allowing evaluation. The results of computational experiment on regression dependence reconstruction by ordinary polynomials of different degrees and by LAR models are given. The efficiency of LAR models in comparison with polynomials of degree 3 and 4 is noted.
构建局部自适应回归模型(LAR模型)的基本思想是使用在因子值的局部子区域上定义的回归量。因子值对特定局部子域的归属由指示函数设置。指标函数本质上接近于模糊系统理论中众所周知的隶属函数概念。通常,为了提供响应对作用因素的依赖所需的平滑性,这样的局部子域被定义为重叠-以所谓的模糊划分的形式。指示函数的类型或类型可能非常不同:三角形、梯形和非线性。指定一种或另一种类型的指标功能决定了衡量本地模型的方案。每个指标函数必须定义为对应因子的整个范围。本文采用三角形函数作为指示函数。线性因子模型被认为是局部模型。值得注意的是,拟议的LAR模型的原始形式是不可识别的。考虑了在所有参数联合估计的情况下,这种模型的识别问题。介绍了模型约简的过程。结果模型被写在允许估计的函数空间中。在将因子确定域划分为两个、三个或四个模糊分区的情况下,我们提出了允许评价的函数基础。给出了用不同程度的普通多项式和用LAR模型进行回归相关重构的计算实验结果。与3次和4次多项式相比,注意到LAR模型的效率。
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引用次数: 0
Development of an architectural software solution for Internet of Thing devices 开发物联网设备的架构软件解决方案
Pub Date : 2023-06-20 DOI: 10.17212/2782-2001-2023-2-43-58
Vladimir K. Shperling, A. Yakimenko
The article presents the development of an architectural software solution for Internet of Things (IoT) devices that implements the functionality of an automatic medical drug dispenser, based on the ESP32 hardware platform and utilizing the capabilities of the existing real-time operating systems (RTOS). The software architecture for IoT devices was designed with scalability and fault tolerance in mind. All components of the system interact with each other through asynchronous callback functions, which provides flexibility and extensibility to the architecture. Testing for system fault tolerance was conducted. The architecture can be implemented and used as the basis for any IoT device, allowing for support of modern security and functionality stacks, by implementing this functionality once in any of the devices. The process of designing the software architecture is presented, including the selection of suitable technologies and libraries. Particular attention was paid to ensuring the safety and reliability of the device, including protection against an unauthorized access and errors in operation. The experimental results show high efficiency and accuracy of the automatic medical drug dispenser based on the developed software. The practical part provides examples of implementing the proposed architecture in the C and C++ languages, with examples and basic interaction diagrams between the components. The rxcpp library was also used in writing the C++ implementation, which made it easier to write the code base for interacting with the operating system resources and reusing the multithreaded interaction with the system.
本文介绍了物联网(IoT)设备的架构软件解决方案的开发,该解决方案基于ESP32硬件平台并利用现有实时操作系统(RTOS)的功能,实现了自动医疗药品分配器的功能。物联网设备的软件架构在设计时考虑了可扩展性和容错性。系统的所有组件通过异步回调函数相互交互,这为体系结构提供了灵活性和可扩展性。对系统进行了容错测试。该架构可以作为任何物联网设备的基础来实现和使用,通过在任何设备中实现此功能,允许支持现代安全和功能堆栈。介绍了软件体系结构的设计过程,包括选择合适的技术和库。特别注意确保设备的安全性和可靠性,包括防止未经授权的访问和操作错误。实验结果表明,基于所开发软件的自动药品分配器具有较高的效率和准确性。实践部分提供了用C和c++语言实现所提出的体系结构的示例,并提供了示例和组件之间的基本交互图。在编写c++实现时还使用了rxcpp库,这使得编写用于与操作系统资源交互和重用与系统的多线程交互的代码库变得更加容易。
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引用次数: 0
Investigation of the spectral dependence of the reflection coefficient of the factory-assembled aluminum mirror for the Shimadzu UV-2700 spectrophotometer 岛津UV-2700分光光度计厂装铝反射镜反射系数的光谱依赖性研究
Pub Date : 2023-06-20 DOI: 10.17212/2782-2001-2023-2-89-100
Anastasia V. Mikhailenko, Konstantin G. Aksenov, M. Kisteneva, A. Akrestina, S. Shandarov
In this paper, we present the results of experimental investigation of the spectral dependence of the aluminum mirror reflection coefficient in the operating range of 185…900 nm. The aluminum mirror is a part of the Specular Reflectance Measurement Attachment to the Shimadzu UV-2700 spectrophotometer. We used experimental data obtained on the same spectro-photometer for a standard incidence angle of 5° for the reflection coefficient of a fused silicon dioxide plate as a reference sample. This is because the spectral characteristics of the optical parameters of fused silicon dioxide determined by the Sellmeier formular are well known. We used a standard quartz glass plate with a thickness of 2,2 mm and a spectrophotometer slit of 5 nm in our experiment. In this case it is possible to neglect interference effects due to multiple reflection. We found from our experimental data the spectrum of the absorption coefficient required for determining the calculated spectral dependence of its reflection coefficient in the spectrophotometer operating range. On the basis of this absorption spectrum the absolute values of the reflection coefficient of the quartz plate were calculated. This calculation was made for the normal incidence approximation and taking into account multiple reflections and dispersion of the refractive coefficient of fused quartz in accordance with the Sellmeier formula. The comparison of the spectra of calculated absolute and relative values of the reflection coefficient of the quartz plate measured on a spectrophotometer with experimental data for the reflectance of aluminum mirror made it possible to obtain the spectral dependence for the aluminum mirror for the entire operating range from 185 to 900 nm. It was found that spectral dependence of the reflection coefficient of a complete aluminum mirror was nonmonotonic. In case under consideration the deviations of its reflection coefficient from an ideal unit value do not exceed 10 % only in the spectral range from 350 to 670 nm. Thus, it is necessary to take into account the obtained spectral dependence of the reflection coefficient of the complete aluminum mirror for quantitative measurements in the entire operative range of the Shimadzu UV-2700 spectrophotometer from 185 to 900 nm.
本文给出了在185nm ~ 900nm工作范围内铝镜面反射系数与光谱关系的实验研究结果。铝镜是岛津UV-2700分光光度计镜面反射测量附件的一部分。我们使用在同一分光光度计上获得的实验数据,标准入射角为5°作为参考样品的熔融二氧化硅板的反射系数。这是因为用Sellmeier公式确定的熔融二氧化硅光学参数的光谱特性是众所周知的。在我们的实验中,我们使用标准的石英玻璃板,厚度为2.2 mm,分光光度计狭缝为5 nm。在这种情况下,由于多次反射,可以忽略干涉效应。我们从实验数据中发现,在分光光度计工作范围内,计算所得的光谱依赖于其反射系数所需的吸收系数的光谱。在此吸收光谱的基础上,计算了石英石板材反射系数的绝对值。这个计算是根据法向入射近似,并考虑熔融石英折射率系数的多次反射和色散,按照Sellmeier公式。用分光光度计测量石英板反射系数的计算绝对值和相对值的光谱与铝镜面反射率的实验数据进行比较,可以得到铝镜面在185 ~ 900 nm整个工作范围内的光谱依赖关系。发现全铝镜面反射系数的光谱依赖性是非单调的。在考虑的情况下,其反射系数与理想单位值的偏差仅在350至670 nm的光谱范围内不超过10%。因此,在岛津UV-2700分光光度计从185到900 nm的整个工作范围内进行定量测量时,有必要考虑得到的全铝反射镜反射系数的光谱依赖性。
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Analysis and data processing systems
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