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Conical diffractions of multilayered gratings modeled by Cartesian rigorous coupled-wave analysis. 用笛卡尔严格耦合波分析方法模拟多层光栅的锥形衍射。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.499890
Jiexin Zhao, Xiaoqing Tian, Jiyong Wang

Rigorous coupled-wave analysis (RCWA) has become one of the most efficient electromagnetic solvers to cope with the diffractions of large-scale periodic nanostructures. Conventional RCWAs focus on planar diffractions and their iterative stabilities. Conical diffractions, as more general incidence cases, are paid little attention in developing their universal and stable implementations for multilayered gratings. Here, we reformulate RCWA algorithms step by step for conical diffractions in a global Cartesian coordinate system. By applying some mathematics tricks, it is found that boundary conditions in conical diffractions can be reduced to the same forms as that of planar diffractions. Conventional stable algorithms including enhanced transmittance matrices and scattering matrices can be directly implemented to attain robust diffraction efficiencies as well as electromagnetic fields for multilayered gratings. An exemplary application in diffractive-waveguide-based augmented reality verified our algorithms.

严格耦合波分析(RCWA)已成为处理大规模周期性纳米结构衍射的最有效的电磁求解器之一。传统的RCWAs关注平面衍射及其迭代稳定性。锥形衍射作为更普遍的入射情况,在开发其用于多层光栅的通用和稳定实现时很少受到关注。在这里,我们一步一步地重新表述了全局笛卡尔坐标系中圆锥衍射的RCWA算法。通过应用一些数学技巧,发现圆锥衍射中的边界条件可以简化为与平面衍射相同的形式。可以直接实现包括增强透射矩阵和散射矩阵的常规稳定算法,以获得用于多层光栅的鲁棒衍射效率以及电磁场。在基于衍射波导的增强现实中的一个示例性应用验证了我们的算法。
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引用次数: 0
Three-dimensional polarization effects in optical tunneling. 光学隧道中的三维偏振效应。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.499914
Mengwen Guo, Andreas Norrman, Ari T Friberg, Jose J Gil, Tero Setälä

We consider the three-dimensional (3D) polarimetric properties of an evanescent optical field excited in the gap of a double-prism system by a random plane wave. The analysis covers the case of frustrated total internal reflection (FTIR), i.e., optical tunneling, and relies on the characteristic decomposition of the 3×3 polarization matrix. We find in particular that, for any incident partially polarized plane wave, the evanescent field inside the gap is necessarily in a nonregular, genuine 3D polarization state. We also show that the 3D polarimetric properties of the field at the second boundary are sensitive to the changes of the gap width and that the relevant effects occur for the smaller widths when the angle of incidence of the plane wave becomes larger. The results of this work uncover new aspects of the polarimetric structure of genuine 3D evanescent fields and may find applications in near-field optics and surface nanophotonics.

我们考虑了双棱镜系统间隙中由随机平面波激发的倏逝光场的三维(3D)偏振特性。该分析涵盖了受抑全内反射(FTIR)的情况,即光隧道,并依赖于3×3偏振矩阵的特征分解。我们特别发现,对于任何入射的部分偏振平面波,间隙内的倏逝场必然处于非规则的、真正的3D偏振状态。我们还表明,第二边界处的场的三维极化特性对间隙宽度的变化很敏感,并且当平面波的入射角变大时,对于较小的宽度会产生相关影响。这项工作的结果揭示了真实三维倏逝场极化结构的新方面,并可能在近场光学和表面纳米光子学中找到应用。
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引用次数: 0
Focusing characteristics of chirped phase-modulated Lorentz-Gaussian vortex beams. 啁啾相位调制洛伦兹-高斯涡旋光束的聚焦特性。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.500673
Shuo Li, Jinsong Li, Guojin Feng, Chenxu Lu

This work presents a thorough investigation of the focusing characteristic of chirped phase modulated Lorentz-Gaussian (LG) vortex beams based on the vector diffraction theory. The results show that changing the first-order chirp parameter c 1 can effectively adjust the size of the focusing spot, and the distance between focusing spots can also be controlled. The second-order chirp parameter c 2 can control the up-and-down movement of the optical chain in the focusing region. Simultaneously, the length of the focusing spots can be accurately changed by modulating the waist width ω. In addition, the influence of integer topological charge number m on controlling the size of an optical dark trap is discussed in detail. And fractional topological charge number m can control the rotation of focus peak and the number of optical dark traps. Potential applications of these findings include optical shape and capture, optical particle transmission, and contemporary medical care.

本文基于矢量衍射理论,深入研究了啁啾相位调制洛伦兹-高斯涡旋光束的聚焦特性。结果表明,改变一阶啁啾参数c1可以有效地调节焦斑的大小,并且可以控制焦斑之间的距离。二阶线性调频参数c2可以控制光学链在聚焦区域的上下运动。同时,通过调节腰部宽度ω,可以精确地改变焦斑的长度。此外,还详细讨论了整数拓扑电荷数m对控制光学暗阱大小的影响。分数拓扑电荷数m可以控制聚焦峰的旋转和光学暗陷阱的数量。这些发现的潜在应用包括光学形状和捕获、光学粒子传输和现代医疗保健。
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引用次数: 0
TOF-assisted binocular vision accuracy improvement method for underwater fish size inspection. TOF辅助双目视觉提高水下鱼群尺寸检测精度的方法。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.491830
Lixin Xiu, Xinning Yu, Hongguang Zhou, Lin Zhang, Shencheng Wu, Ying Liang, Yunfeng Bi

To address problems such as the lack of accuracy in acquiring depth maps for dynamic fish 3D measurements by usual binocular vision or a time-of-flight (TOF) depth camera, a TOF-assisted binocular vision depth acquisition algorithm is used to obtain high-quality depth maps. The TOF depth energy function is designed to guide the binocular stereo matching process, which improves the correct matching rate of binocular matching in low-texture regions; the TOF and binocular stereo matching confidence weighting functions are designed to achieve the fusion of the two at pixel level to improve the matching quality of fish in the occluded overlapping regions. The experimental results show that the TOF-assisted binocular vision system improves the accuracy of fish size measurement compared to single binocular vision while reducing the measurement error when the fish body has a significant inclination along the depth axis.

为了解决诸如通过通常的双目视觉或飞行时间(TOF)深度相机获取用于动态鱼类3D测量的深度图缺乏准确性之类的问题,使用TOF辅助的双目视觉深度获取算法来获得高质量的深度图。TOF深度能量函数用于指导双目立体匹配过程,提高了低纹理区域双目匹配的正确匹配率;TOF和双目立体匹配置信度加权函数被设计为在像素级实现两者的融合,以提高被遮挡重叠区域中鱼类的匹配质量。实验结果表明,与单双目视觉相比,TOF辅助双目视觉系统提高了鱼体尺寸测量的精度,同时降低了鱼体沿深度轴有显著倾斜时的测量误差。
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引用次数: 0
UN-PUNet for phase unwrapping from a single uneven and noisy ESPI phase pattern. 用于从单个不均匀和有噪声的ESPI相位模式进行相位展开的UN PUNet。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.499453
Hongxuan He, Chen Tang, Liao Zhang, Min Xu, Zhenkun Lei

The wrapped phase patterns of objects with varying materials exhibit uneven gray values. Phase unwrapping is a tricky problem from a single wrapped phase pattern in electronic speckle pattern interferometry (ESPI) due to the gray unevenness and noise. In this paper, we propose a convolutional neural network (CNN) model named UN-PUNet for phase unwrapping from a single wrapped phase pattern with uneven grayscale and noise. UN-PUNet leverages the benefits of a dual-branch encoder structure, a multi-scale feature fusion structure, a convolutional block attention module, and skip connections. Additionally, we have created an abundant dataset for phase unwrapping with varying degrees of unevenness, fringe density, and noise levels. We also propose a mixed loss function MS_SSIM + L2. Employing the proposed dataset and loss function, we can successfully train the UN-PUNet, ultimately realizing effective and robust phase unwrapping from a single uneven and noisy wrapped phase pattern. We evaluate the performance of our method on both simulated and experimental ESPI wrapped phase patterns, comparing it with DLPU, VUR-Net, and PU-M-Net. The unwrapping performance is assessed quantitatively and qualitatively. Furthermore, we conduct ablation experiments to evaluate the impact of different loss functions and the attention module utilized in our method. The results demonstrate that our proposed method outperforms the compared methods, eliminating the need for pre-processing, post-processing procedures, and parameter fine-tuning. Moreover, our method effectively solves the phase unwrapping problem while preserving the structure and shape, eliminating speckle noise, and addressing uneven grayscale.

具有不同材料的对象的包裹相位图案显示出不均匀的灰度值。在电子散斑干涉术(ESPI)中,由于灰度不均匀性和噪声,相位展开是一个棘手的问题。在本文中,我们提出了一个名为UN-PUNet的卷积神经网络(CNN)模型,用于从具有不均匀灰度和噪声的单个包裹相位模式中进行相位展开。UN PUNet利用了双分支编码器结构、多尺度特征融合结构、卷积块注意力模块和跳过连接的优势。此外,我们还创建了一个丰富的数据集,用于不同程度的不均匀性、条纹密度和噪声水平的相位展开。我们还提出了一个混合损失函数MS_SSIM+L2。利用所提出的数据集和损失函数,我们可以成功地训练UN PUNet,最终从单个不均匀和有噪声的包裹相位模式中实现有效和稳健的相位展开。我们评估了我们的方法在模拟和实验ESPI包裹相位模式上的性能,并将其与DLPU、VUR-Net和PU-M-Net进行了比较。对展开性能进行了定量和定性评估。此外,我们进行了消融实验,以评估不同损失函数和我们方法中使用的注意力模块的影响。结果表明,我们提出的方法优于比较方法,无需预处理、后处理程序和参数微调。此外,我们的方法有效地解决了相位展开问题,同时保留了结构和形状,消除了散斑噪声,并解决了灰度不均匀的问题。
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引用次数: 0
Extended-depth-of-focus wavefront design from pseudo-umbilical space curves. 从伪脐空间曲线扩展焦深波前设计。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.501282
Sergio Barbero, Manuel Ritoré

Designing extended-depth-of-focus wavefronts is required in multiple optical applications. Caustic location and structure analysis offer a powerful tool for designing such wavefronts. An intrinsic limitation of designing extended-depth-of-focus wavefronts is that any smooth surface, with a non-constant mean curvature, unavoidably introduces a separation between caustic sheets, which is proportional to the ratio of change of the mean curvature along a curve embedded in the wavefront. We present a method to obtain extended-depth-of-focus wavefronts where the mean curvature variation ratio is reduced thanks to using a long circle-involute space curve effectively filling the wavefront surface. Additionally, we present a variant of the method in which the wavefront is modified within a small tubular neighborhood of the circle involute in order to partially meet the umbilical condition along that tubular region. Finally, we provide some numerical results showing the potential of our method in an application example.

在多种光学应用中需要设计扩展的焦深波前。焦散位置和结构分析为设计这种波前提供了一个强大的工具。设计扩展焦深波前的一个固有限制是,任何具有非恒定平均曲率的光滑表面都不可避免地在焦散片之间引入分离,该分离与平均曲率沿着嵌入波前中的曲线的变化率成比例。我们提出了一种获得扩展焦深波前的方法,其中由于使用长圆渐开线空间曲线有效地填充波前表面,平均曲率变化率降低。此外,我们提出了一种方法的变体,其中在圆渐开线的小管邻域内修改波前,以部分满足沿该管状区域的脐带条件。最后,我们提供了一些数值结果,显示了我们的方法在应用实例中的潜力。
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引用次数: 0
Self-healing properties of symmetrical power-exponent-phase vortices. 对称幂指数相位涡旋的自愈特性。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.500772
Shuo Liu, Xuejuan Liu, Yan Xiong, Yiping Xu, Shaohua Tao, Wenxing Yang, Shubo Cheng

The self-healing properties of symmetrical power-exponent-phase vortices (SPEPVs) are analyzed in this paper. By placing an obstacle in the optical path of SPEPVs, we simulated the propagation of the obstructed SPEPVs and verified the self-healing of the beam theoretically. We also explored the influence of external factors (e.g., obstacle size and position) and internal parameters (topological charge l and power exponent n) on the self-healing effect of obstructed SPEPVs. Furthermore, the energy flow density, similarity coefficient, effective self-healing distance, and diffraction efficiency of the obstructed SPEPVs were also discussed. The results demonstrated that the transverse energy flows around the obstructed region of SPEPVs will recover with the propagation distance increased, and the effective self-healing distance gradually increases linearly with the obstacle size r x increased. The self-healing characteristic gives the petal-like SPEPVs the ability to trap microparticles three-dimensionally.

本文分析了对称幂指数相位涡旋的自修复特性。通过在SPEPV的光路中放置障碍物,我们模拟了受阻碍的SPEPV的传播,并从理论上验证了光束的自修复。我们还探讨了外部因素(如障碍物大小和位置)和内部参数(拓扑电荷l和功率指数n)对阻塞SPEPV自修复效果的影响。此外,还讨论了受阻SPEPV的能量流密度、相似系数、有效自修复距离和衍射效率。结果表明,随着传播距离的增加,SPEPV阻塞区域周围的横向能量流将恢复,并且有效自修复距离随着障碍物尺寸rx的增加而逐渐线性增加。自修复特性使花瓣状SPEPV具有三维捕获微粒的能力。
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引用次数: 0
Evolution properties of a complex coherent square Gaussian-Schell-model beam in a uniaxial crystal orthogonal to the optical axis. 正交于光轴的单轴晶体中复相干方高斯-谢尔模型光束的演化特性。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.500201
Jun Zhou, Huguang Li, Jianyang Zhou

The analytical formulas for spectral density, degree of coherence, and effective beam widths of complex coherent square Gaussian-Schell-model (GSM) beams in a uniaxial crystal orthogonal to the optical axis are derived. Based on these analytical formulas, the evolution properties are investigated by a set of numerical examples. It is demonstrated that the complex coherent square GSM beams spread at different rates in the directions parallel and orthogonal to the optical axis due to the anisotropic crystal, but the self-shift effect of the light field is almost unaffected by the fact that the uniaxial crystal is anisotropic. The effect of anisotropy of the uniaxial crystal on the effective width of the beam in the x direction and that in the y direction is completely opposite. The results provide a way for the modulation of the complex coherent square GSM beams and enrich the propagation theory of uniaxial crystal.

导出了正交于光轴的单轴晶体中复相干方高斯-谢尔模型(GSM)光束的光谱密度、相干度和有效光束宽度的解析公式。基于这些解析公式,通过一组数值算例研究了其演化性质。结果表明,由于各向异性晶体的存在,复相干方形GSM光束在平行和正交于光轴的方向上以不同的速率传播,但光场的自移效应几乎不受单轴晶体各向异性的影响。单轴晶体的各向异性对x方向和y方向光束有效宽度的影响完全相反。研究结果为复相干方GSM光束的调制提供了一条途径,丰富了单轴晶体的传播理论。
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引用次数: 0
Magnetization properties of radially polarized Bessel-Gaussian vortex beams with radial phase modulation in a 4π focusing system. 4π聚焦系统中径向相位调制径向偏振贝塞尔-高斯涡旋光束的磁化特性。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.500282
Chenxu Lu, Jinsong Li, Guojin Feng, Xiumin Gao

This paper explored the optically induced magnetization properties of radially polarized Bessel-Gaussian vortex beams with radial phase modulation in a 4π high numerical aperture (NA) focusing system, which is based on the vector diffraction theory and the inverse Faraday effect. The results show that in the case of radial modulation parameter L=0, one longitudinal magnetization chain with adjustable length can be obtained by modulating the truncation parameter β. When the radial modulation parameter L=1.3, two magnetization chains can be obtained by modulating the truncation parameter β. By modulating the radial modulation parameter L, two magnetization chains along the optical axis can be generated, each with four dark magnetic traps; meanwhile, the spacing between two magnetization chains can be adjusted. These results may be helpful in high-density all-optical magnetic recording, atom capture, and magnetic resonance microscopy.

本文基于矢量衍射理论和反法拉第效应,研究了4π高数值孔径聚焦系统中径向相位调制径向偏振贝塞尔-高斯涡旋光束的光致磁化特性。结果表明,在径向调制参数L=0的情况下,通过调制截断参数β可以获得一个长度可调的纵向磁化链。当径向调制参数L=1.3时,通过调制截断参数β可以获得两个磁化链。通过调制径向调制参数L,可以产生沿光轴的两个磁化链,每个磁化链具有四个暗磁陷阱;同时,可以调整两个磁化链之间的间距。这些结果可能有助于高密度全光磁记录、原子捕获和磁共振显微镜。
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引用次数: 0
Modulation transfer function formula for different age ranges. 不同年龄段的调制传递函数公式。
IF 1.9 3区 物理与天体物理 Q3 OPTICS Pub Date : 2023-10-01 DOI: 10.1364/JOSAA.494721
Roberto F Sánchez, Francisco J Puertas, Luis A Issolio

The modulation transfer function (MTF) is one of the most complete tools to study the optical performance of the eye. We present the average radial MTF profiles measured in 68 subjects grouped in six age ranges (from 20 to 80 years) and a general formula to estimate the radial profile of human MTF as a function of pupil size and age. The mean MTF for each age group was fitted to an analytical expression to compute two parameters related to aging. The proposed formula fitted reasonably well to experimental data available in previous works and predicted the average changes with aging of different optical quality parameters obtained from MTF.

调制传递函数(MTF)是研究眼睛光学性能的最完整的工具之一。我们提出了68名受试者的平均径向MTF分布,这些受试者分为六个年龄段(从20岁到80岁),并提出了一个通用公式来估计人类MTF的径向分布作为瞳孔大小和年龄的函数。将每个年龄组的平均MTF拟合到分析表达式中,以计算与衰老相关的两个参数。所提出的公式与以往工作中的实验数据相当吻合,并预测了从MTF获得的不同光学质量参数随老化的平均变化。
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引用次数: 0
期刊
Journal of The Optical Society of America A-optics Image Science and Vision
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