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Scan-Rate-Dependent Ion Current Rectification in Bipolar Interfacial Nanopores. 双极界面纳米孔中扫描速率依赖性离子电流整流。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-23 DOI: 10.3390/mi15091176
Xiaoling Zhang, Yunjiao Wang, Jiahui Zheng, Chen Yang, Deqiang Wang

This study presents a theoretical investigation into the voltammetric behavior of bipolar interfacial nanopores due to the effect of potential scan rate (1-1000 V/s). Finite element method (FEM) is utilized to explore the current-voltage (I-V) properties of bipolar interfacial nanopores at different bulk salt concentrations. The results demonstrate a strong impact of the scan rate on the I-V response of bipolar interfacial nanopores, particularly at relatively low concentrations. Hysteresis loops are observed in bipolar interfacial nanopores under specific scan rates and potential ranges and divided by a cross-point potential that remains unaffected by the scan rate employed. This indicates that the current in bipolar interfacial nanopores is not just reliant on the bias potential that is imposed but also on the previous conditions within the nanopore, exhibiting history-dependent or memory effects. This scan-rate-dependent current-voltage response is found to be significantly influenced by the length of the nanopore (membrane thickness). Thicker membranes exhibit a more pronounced scan-rate-dependent phenomenon, as the mass transfer of ionic species is slower relative to the potential scan rate. Additionally, unlike conventional bipolar nanopores, the ion current passing through bipolar interfacial nanopores is minimally affected by the membrane thickness, making it easier to detect.

本研究从理论上探讨了双极界面纳米孔的伏安行为受电位扫描速率(1-1000 V/s)的影响。利用有限元法(FEM)探讨了双极界面纳米孔在不同盐浓度下的电流-电压(I-V)特性。结果表明,扫描速率对双极界面纳米孔的 I-V 响应有很大影响,尤其是在浓度相对较低的情况下。在特定的扫描速率和电位范围下,双极界面纳米孔中会出现滞后环,并被一个不受所采用的扫描速率影响的交叉点电位所分割。这表明,双极界面纳米孔中的电流不仅取决于施加的偏置电位,还取决于纳米孔内先前的条件,表现出历史依赖或记忆效应。研究发现,这种与扫描速率相关的电流-电压响应受到纳米孔长度(膜厚度)的显著影响。较厚的膜表现出更明显的扫描速率依赖现象,因为离子物种的质量转移相对于电位扫描速率较慢。此外,与传统的双极纳米孔不同,通过双极界面纳米孔的离子电流受膜厚度的影响很小,因此更容易检测。
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引用次数: 0
Formation, Structure, Electronic, and Transport Properties of Nitrogen Defects in Graphene and Carbon Nanotubes. 石墨烯和碳纳米管中氮缺陷的形成、结构、电子和传输特性。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-22 DOI: 10.3390/mi15091172
Yoshitaka Fujimoto

The substitutional doping of nitrogen is an efficient way to modulate the electronic properties of graphene and carbon nanotubes (CNTs). Therefore, it could enhance their physical and chemical properties as well as offer potential applications. This paper provides an overview of the experimental and theoretical investigations regarding nitrogen-doped graphene and CNTs. The formation of various nitrogen defects in nitrogen-doped graphene and CNTs, which are identified by several observations, is reviewed. The electronic properties and transport characteristics for nitrogen-doped graphene and CNTs are also reviewed for the development of high-performance electronic device applications.

氮的置换掺杂是调节石墨烯和碳纳米管(CNTs)电子特性的有效方法。因此,氮可以增强它们的物理和化学性质,并提供潜在的应用。本文概述了有关氮掺杂石墨烯和碳纳米管的实验和理论研究。本文综述了氮掺杂石墨烯和碳纳米管中各种氮缺陷的形成,这些缺陷是通过多次观察发现的。此外,还综述了掺氮石墨烯和碳纳米管的电子特性和传输特性,以开发高性能电子器件应用。
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引用次数: 0
Stress Engineering of Magnetization Fluctuation and Noise Spectra in Low-Barrier Nanomagnets Used as Analog and Binary Stochastic Neurons. 用作模拟和二元随机神经元的低势垒纳米磁体中磁化波动和噪声频谱的应力工程。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-22 DOI: 10.3390/mi15091174
Rahnuma Rahman, Supriyo Bandyopadhyay

A single-domain nanomagnet, shaped like a thin elliptical disk with small eccentricity, has a double-well potential profile with two degenerate energy minima separated by a small barrier of a few kT (k = Boltzmann constant and T = absolute temperature). The two minima correspond to the magnetization pointing along the two mutually anti-parallel directions along the major axis of the ellipse. At room temperature, the magnetization fluctuates randomly between the two minima, mimicking telegraph noise. This makes the nanomagnet act as a "binary" stochastic neuron (BSN) with the neuronal state encoded in the magnetization orientation. If the nanomagnet is magnetostrictive, then the barrier can be depressed further by applying (electrically generated) uniaxial stress along the ellipse's major axis, thereby gradually eroding the double-well shape. When the barrier almost vanishes, the magnetization begins to randomly assume any arbitrary orientation (not just along the major axis), making the nanomagnet act as an "analog" stochastic neuron (ASN). The magnetization fluctuation then begins to increasingly resemble white noise. The full width at half maximum (FWHM) of the noise auto-correlation function decreases with increasing stress, as the fluctuation gradually transforms from telegraph noise to white noise. Consistent with this trend, the noise spectral density exhibits a 1/fβ spectrum (at high frequencies) with β decreasing from 2.00 to 1.88 with increasing stress. Stress can thus not only reconfigure a BSN to an ASN, which has its own applications, but it can also perform "noise engineering", i.e., tune the auto-correlation function and power spectral density, having applications in signal processing.

单域纳米磁体的形状像一个具有小偏心率的薄椭圆盘,具有双阱势能曲线,其中有两个退化的能量极小值,被几 kT(k = 玻耳兹曼常数,T = 绝对温度)的小屏障隔开。这两个最小值对应于沿椭圆主轴两个相互反平行方向的磁化。在室温下,磁化在两个最小值之间随机波动,模仿电报噪声。这使得纳米磁体成为一个 "二进制 "随机神经元(BSN),神经元状态由磁化方向编码。如果纳米磁体具有磁致伸缩性,则可以通过沿椭圆主轴施加(电产生的)单轴应力来进一步压低势垒,从而逐渐侵蚀双孔形状。当阻挡层几乎消失时,磁化开始随机呈现任意方向(而不仅仅是沿主轴方向),从而使纳米磁体成为一个 "模拟 "随机神经元(ASN)。磁化波动开始变得越来越像白噪声。噪声自相关函数的半最大全宽(FWHM)随着应力的增加而减小,波动逐渐从电报噪声转变为白噪声。与此趋势一致的是,噪声频谱密度呈现出 1/fβ 频谱(高频),随着应力的增加,β 从 2.00 降至 1.88。因此,应力不仅可以将 BSN 重新配置为 ASN(这有其自身的应用价值),还可以执行 "噪声工程",即调整自相关函数和功率谱密度,这在信号处理中也有应用。
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引用次数: 0
A Micromachined Silicon-on-Glass Accelerometer with an Optimized Comb Finger Gap Arrangement. 具有优化梳齿指间隙排列的微机械玻璃基硅加速度计
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-22 DOI: 10.3390/mi15091173
Jiacheng Li, Rui Feng, Xiaoyi Wang, Huiliang Cao, Keru Gong, Huikai Xie

This paper reports the design, fabrication, and characterization of a MEMS capacitive accelerometer with an asymmetrical comb finger arrangement. By optimizing the ratio of the gaps of a rotor finger to its two adjacent stator fingers, the sensitivity of the accelerometer is maximized for the same comb finger area. With the fingers' length, width, and depth at 120 μm, 4 μm, and 45 μm, respectively, the optimized finger gap ratio is 2.5. The area of the proof mass is 750 μm × 560 μm, which leads to a theoretical thermomechanical noise of 9 μg/√Hz. The accelerometer has been fabricated using a modified silicon-on-glass (SOG) process, in which a groove is pre-etched into the glass to hold the metal electrode. This SOG process greatly improves the silicon-to-glass bonding yield. The measurement results show that the resonant frequency of the accelerometer is about 2.05 kHz, the noise floor is 28 μg/√Hz, and the nonlinearity is less than 0.5%.

本文报告了采用非对称梳状指排列的 MEMS 电容式加速度计的设计、制造和特性分析。通过优化转子指与相邻两个定子指的间隙比,在相同梳状指面积的情况下,加速度计的灵敏度达到最大。梳状指的长度、宽度和深度分别为 120 μm、4 μm 和 45 μm,优化后的梳状指间隙比为 2.5。验证质量的面积为 750 μm × 560 μm,因此理论热机械噪声为 9 μg/√Hz。加速度计的制造采用了改进的玻璃上硅(SOG)工艺,即在玻璃上预先蚀刻一个凹槽,以固定金属电极。这种 SOG 工艺大大提高了硅与玻璃的结合率。测量结果表明,加速度计的谐振频率约为 2.05 kHz,本底噪声为 28 μg/√Hz,非线性度小于 0.5%。
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引用次数: 0
A Novel Nano-Spherical Tip for Improving Precision in Elastic Modulus Measurements of Polymer Materials via Atomic Force Microscopy. 通过原子力显微镜提高聚合物材料弹性模量测量精度的新型纳米球形针尖
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-22 DOI: 10.3390/mi15091175
Tianyu Fu, Paul C Uzoma, Xiaolei Ding, Pengyuan Wu, Oleksiy Penkov, Huan Hu

Micro-nano-scale mechanical properties are vital for engineering and biological materials. The elastic modulus is generally measured by processing the force-indentation curves obtained by atomic force microscopy (AFM). However, the measurement precision is largely affected by tip shape, tip wear, sample morphology, and the contact model. In such research, it has been found that the radius of the sharp tip increases due to wear during contact scanning, affecting elastic modulus calculations. For flat-ended tips, it is difficult to identify the contact condition, leading to inaccurate results. Our research team has invented a nano-spherical tip, obtained by implanting focused helium ions into a silicon microcantilever, causing it to expand into a silicon nanosphere. This nano-spherical tip has the advantages of sub-micro size and a smooth spherical surface. Comparative tests of the elastic modulus measurement were conducted on polytetrafluoroethylene (PTFE) and polypropylene (PP) using these three tips. Overall, the experimental results show that our nano-spherical tip with a consistent tip radius, symmetrical geometric shape, and resistance to wear and contamination can improve precision in elastic modulus measurements of polymer materials.

微纳尺度的机械性能对工程和生物材料至关重要。弹性模量一般通过处理原子力显微镜(AFM)获得的力-压痕曲线来测量。然而,测量精度在很大程度上受到针尖形状、针尖磨损、样品形态和接触模型的影响。在此类研究中发现,尖锐尖端的半径会因接触扫描过程中的磨损而增大,从而影响弹性模量的计算。对于平头尖端,很难确定接触状况,导致结果不准确。我们的研究团队发明了一种纳米球形尖端,它是通过将聚焦氦离子植入硅微悬臂,使其膨胀为硅纳米球体而获得的。这种纳米球形尖端具有亚微米尺寸和光滑球形表面的优点。使用这三种针尖对聚四氟乙烯(PTFE)和聚丙烯(PP)进行了弹性模量测量对比试验。总之,实验结果表明,我们的纳米球形针尖具有一致的针尖半径、对称的几何形状以及抗磨损和抗污染性能,可以提高聚合物材料弹性模量测量的精度。
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引用次数: 0
Multi-Position Inertial Alignment Method for Underground Pipelines Using Data Backtracking Based on Single-Axis FOG/MIMU. 基于单轴 FOG/MIMU 使用数据回溯的地下管道多位置惯性对准方法。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-21 DOI: 10.3390/mi15091168
Jiachen Liu, Lu Wang, Yutong Zu, Yuanbiao Hu

The inertial measurement method of pipelines utilizes a Micro-Electro-Mechanical Systems Inertial Measurement Unit (MIMU) to get the three-dimensional trajectory of underground pipelines. The initial attitude is significant for the inertial measurement method of pipelines. The traditional method to obtain the initial attitude uses three-axis magnetometers to measure the Earth's magnetic field. However, the magnetic field in urban underground pipelines is intricate, which leads to the initial attitude being inaccurate. To overcome this challenge, a novel multi-position initial alignment method based on data backtracking for a single-axis FOG and a three-axis Micro-Electro-Mechanical Inertial Measurement Unit (MIMU) is proposed. Firstly, the configuration of the sensors is determined. Secondly, according to the three-point support structure of the pipeline measuring instrument, a three-position alignment scheme is designed. Additionally, an initial alignment algorithm using the data backtracking method is developed. In this algorithm, a rough initial alignment is conducted by the data from single-axis FOG, and a fine initial alignment is conducted by the data from FOG/MIMU. Finally, an experiment was conducted to validate this method. The experiment results indicate that the pitch and roll angle errors are less than 0.05°, and the azimuth angle errors are less than 0.2°. This improved the precision of the 3-D trajectory of underground pipelines.

管道惯性测量法利用微机电系统惯性测量单元(MIMU)获取地下管道的三维轨迹。初始姿态对管道惯性测量法至关重要。获取初始姿态的传统方法是使用三轴磁力计测量地球磁场。然而,城市地下管道的磁场错综复杂,导致初始姿态不准确。为了克服这一难题,我们提出了一种基于数据回溯的新型多位置初始对准方法,适用于单轴 FOG 和三轴微机电惯性测量单元(MIMU)。首先,确定传感器的配置。其次,根据管道测量仪的三点支撑结构,设计了三位置对准方案。此外,还开发了一种使用数据回溯法的初始对准算法。在该算法中,通过单轴 FOG 的数据进行粗初始对准,通过 FOG/MIMU 的数据进行精初始对准。最后,实验验证了这一方法。实验结果表明,俯仰角和滚转角误差小于 0.05°,方位角误差小于 0.2°。这提高了地下管道三维轨迹的精度。
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引用次数: 0
Enhanced Hybrid Nanogenerator Based on PVDF-HFP and PAN/BTO Coaxially Structured Electrospun Nanofiber. 基于 PVDF-HFP 和 PAN/BTO 同轴结构电纺纳米纤维的增强型混合纳米发电机。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-21 DOI: 10.3390/mi15091171
Jin-Uk Yoo, Dong-Hyun Kim, Eun-Su Jung, Tae-Min Choi, Hwa-Rim Lee, Sung-Gyu Pyo

Nanogenerators have garnered significant interest as environmentally friendly and potential energy-harvesting systems. Nanogenerators can be broadly classified into piezo-, tribo-, and hybrid nanogenerators. The hybrid nanogenerator used in this experiment is a nanogenerator that uses both piezo and tribo effects. These hybrid nanogenerators have the potential to be used in wearable electronics, health monitoring, IoT devices, and more. In addition, the versatility of the material application in electrospinning makes it an ideal complement to hybrid nanogenerators. However, despite their potential, several experimental variables, biocompatibility, and harvesting efficiency require improvement in the research field. In particular, maximizing the output voltage of the fibers is a significant challenge. Based on this premise, this study aims to characterize hybrid nanogenerators (HNGs) with varied structures and material combinations, with a focus on identifying HNGs that exhibit superior piezoelectric- and triboelectric-induced voltage. In this study, several HNGs based on coaxial structures were fabricated via electrospinning. PVDF-HFP and PAN, known for their remarkable electrospinning properties, were used as the primary materials. Six combinations of these two materials were fabricated and categorized into homo and hetero groups based on their composition. The output voltage of the hetero group surpassed that of the homo group, primarily because of the triboelectric-induced voltage. Specifically, the overall output voltage of the hetero group was higher. In addition, the combination group with the most favorable voltage characteristics combined PVDF-HFP@PAN(BTO) and PAN hollow, boasting an output voltage of approximately 3.5 V.

纳米发电机作为环保和潜在的能量收集系统,已经引起了人们的极大兴趣。纳米发电机大致可分为压电纳米发电机、三相纳米发电机和混合纳米发电机。本实验中使用的混合纳米发电机是一种同时使用压电效应和三相效应的纳米发电机。这些混合纳米发电机有望用于可穿戴电子设备、健康监测、物联网设备等。此外,电纺材料应用的多样性使其成为混合纳米发电机的理想补充。然而,尽管其潜力巨大,但在研究领域中仍有一些实验变量、生物相容性和采集效率需要改进。其中,最大限度地提高纤维的输出电压是一项重大挑战。基于这一前提,本研究旨在表征具有不同结构和材料组合的混合纳米发电机(HNGs),重点是确定能表现出卓越压电和三电感应电压的 HNGs。在这项研究中,通过电纺丝制造了几种基于同轴结构的 HNG。PVDF-HFP 和 PAN 因其显著的电纺丝特性而闻名,被用作主要材料。这两种材料的六种组合被制造出来,并根据其组成分为同组和异组。异质组的输出电压超过了同质组,这主要是由于三电引起的电压。具体来说,杂交组的整体输出电压更高。此外,将 PVDF-HFP@PAN(BTO) 和中空 PAN 结合在一起的组合组具有最有利的电压特性,输出电压约为 3.5 V。
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引用次数: 0
A Comprehensive Review of Piezoelectric Ultrasonic Motors: Classifications, Characterization, Fabrication, Applications, and Future Challenges. 压电超声波马达综合评述:分类、表征、制造、应用和未来挑战。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-21 DOI: 10.3390/mi15091170
Sidra Naz, Tian-Bing Xu

Piezoelectric ultrasonic motors (USMs) are actuators that use ultrasonic frequency piezoelectric vibration-generated waves to transform electrical energy into rotary or translating motion. USMs receive more attention because they offer distinct qualities over traditional magnet-coil-based motors, such as miniaturization, great accuracy, speed, non-magnetic nature, silent operation, straightforward construction, broad temperature operations, and adaptability. This review study focuses on the principle of USMs and their classifications, characterization, fabrication methods, applications, and future challenges. Firstly, the classifications of USMs, especially, standing-wave, traveling-wave, hybrid-mode, and multi-degree-of-freedom USMs, are summarized, and their respective functioning principles are explained. Secondly, finite element modeling analysis for design and performance predictions, conventional and nano/micro-fabrication methods, and various characterization methods are presented. Thirdly, their advantages, such as high accuracy, small size, and silent operation, and their benefits over conventional motors for the different specific applications are examined. Fourthly, the advantages and disadvantages of USMs are highlighted. In addition, their substantial contributions to a variety of technical fields like surgical robots and industrial, aerospace, and biomedical applications are introduced. Finally, their future prospects and challenges, as well as research directions in USM development, are outlined, with an emphasis on downsizing, increasing efficiency, and new materials.

压电超声波电机(USM)是一种利用超声波频率产生的压电振动波将电能转化为旋转或平移运动的致动器。与传统的磁线圈电机相比,USM 具有体积小、精度高、速度快、无磁性、静音、结构简单、工作温度范围广和适应性强等显著特点,因此受到越来越多的关注。本综述研究的重点是 USM 的原理及其分类、表征、制造方法、应用和未来挑战。首先,概述了 USM 的分类,特别是立波、行波、混合模式和多自由度 USM,并解释了它们各自的工作原理。其次,介绍了用于设计和性能预测的有限元建模分析、传统和纳米/微制造方法以及各种表征方法。第三,研究了这些电机的优点,如精度高、体积小、静音运行,以及与传统电机相比在不同具体应用中的优势。第四,强调了 USM 的优缺点。此外,还介绍了 USM 在外科手术机器人、工业、航空航天和生物医学应用等多个技术领域做出的巨大贡献。最后,概述了 USM 的未来前景和挑战,以及 USM 的发展研究方向,重点是缩小尺寸、提高效率和新型材料。
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引用次数: 0
Deep Learning-Driven Prediction of Mechanical Properties of 316L Stainless Steel Metallographic by Laser Powder Bed Fusion. 深度学习驱动的激光粉末床融合 316L 不锈钢金相机械性能预测。
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-21 DOI: 10.3390/mi15091167
Zhizhou Zhang, Paul Mativenga, Wenhua Zhang, Shi-Qing Huang

This study developed a new metallography-property relationship neural network (MPR-Net) to predict the relationship between the microstructure and mechanical properties of 316L stainless steel built by laser powder bed fusion (LPBF). The accuracy R2 of MPR-Net was 0.96 and 0.91 for tensile strength and Vickers hardness predictions, respectively, based on optical metallurgy images. Feature visualisation methods, such as gradient-weighted class activation mapping (Grad-CAM) and clustering, were employed to interpret the abstract features within the MPR-Net, providing insights into the molten pool morphology and grain formation mechanisms during the LPBF process. Experimental results showed that the optimal process parameters-190 W laser power and 700 mm/s scanning speed-yielded a maximum tensile strength of 762.83 MPa and a Vickers hardness of 253.07 HV0.2 with nearly full densification (99.97%). The study marks the first application of a convolutional neural network (MPR-Net) to predict the mechanical properties of 316L stainless steel samples manufactured through laser powder bed fusion (LPBF) based on metallography. It innovatively employs techniques such as gradient-weighted class activation mapping (Grad-CAM), spatial coherence testing, and clustering to provide deeper insights into the workings of the machine learning model, enhancing the interpretability of complex neural network decisions in material science.

本研究开发了一种新的金相-性能关系神经网络(MPR-Net),用于预测通过激光粉末床熔融(LPBF)制造的 316L 不锈钢的微观结构与力学性能之间的关系。根据光学冶金图像预测拉伸强度和维氏硬度时,MPR-Net 的精度 R2 分别为 0.96 和 0.91。采用梯度加权类激活图谱(Grad-CAM)和聚类等特征可视化方法来解释 MPR-Net 中的抽象特征,从而深入了解 LPBF 过程中的熔池形态和晶粒形成机制。实验结果表明,在激光功率为 190 W、扫描速度为 700 mm/s 的最佳工艺参数下,最大拉伸强度为 762.83 MPa,维氏硬度为 253.07 HV0.2,几乎达到完全致密化(99.97%)。这项研究标志着首次应用卷积神经网络(MPR-Net)来预测通过激光粉末床熔融(LPBF)制造的 316L 不锈钢样品的机械性能。该研究创新性地采用了梯度加权类激活图谱(Grad-CAM)、空间一致性测试和聚类等技术,深入揭示了机器学习模型的工作原理,提高了材料科学中复杂神经网络决策的可解释性。
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引用次数: 0
Design of a Novel Microlens Array and Imaging System for Light Fields. 设计用于光场的新型微透镜阵列和成像系统
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-09-21 DOI: 10.3390/mi15091166
Yifeng Li, Pangyue Li, Xinyan Zheng, Huachen Liu, Yiran Zhao, Xueping Sun, Weiguo Liu, Shun Zhou

Light field cameras are unsuitable for further acquisition of high-quality images due to their small depth of field, insufficient spatial resolution, and poor imaging quality. To address these issues, we proposed a novel four-focal-square microlens and light field system. A square aspheric microlens array with four orthogonal focal lengths was designed, in which the aperture of a single lens was 100 μm. The square arrangement improves pixel utilization, the four focal lengths increase the depth of field, and the aspheric improves image quality. The simulations demonstrate pixel utilization rates exceeding 90%, depth-of-field ranges 6.57 times that of a single focal length, and image quality is significantly improved. We have provided a potential solution for improving the depth of field and image quality of the light field imaging system.

光场相机由于景深小、空间分辨率不足和成像质量差,不适合进一步获取高质量图像。为了解决这些问题,我们提出了一种新型四焦点方形微透镜和光场系统。我们设计了一个具有四个正交焦距的方形非球面微透镜阵列,其中单个透镜的孔径为 100 μm。方形排列提高了像素利用率,四个焦距增加了景深,非球面提高了图像质量。模拟结果表明,像素利用率超过 90%,景深范围是单焦距的 6.57 倍,图像质量得到显著改善。我们为改善光场成像系统的景深和图像质量提供了一个潜在的解决方案。
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引用次数: 0
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