偏振对光学系统成像质量的影响

通常情况下,评价光学成像系统像质的几个重要参数,如能量集中度(Strehl比)、分辨率、焦深等,都是以标量衍射理论为基础进行计算和分析的.考虑光波的矢量偏振特性,尤其是在高数值孔径系统中,标量衍射的精度已不能满足精度要求.本文讨论了在采用矢量衍射计算方法基础上,上述成像参数的变化,所讨论系统入瞳面各点为偏振方向一致的线偏光或部分偏光,以便于考察偏振对所述成像参数的影响,通过公式推导和数值计算,得出了由于偏振的影响.系统衍射斑能量极大值变小,像面和偏振平行方向分辨率降低,分辨率出现各向异性,只有系统焦深受偏振影响较小.而这些矢量效应会随着系统数值孔径的提高而愈加明显,因此在分析处理数值孔径较高的光学系统时必须使用矢量衍射方法.最后讨论了轴外点衍射斑的计算.     

一种新型衍射超分辨光学器件

提出了一种提高通过光学系统的部分光线的空间频率,来提高系统分辨率的新型衍射超分辨光学器件。该器件通过把部分低频光线移到高频带,使得艾里斑的主斑变小,同时焦深也得到了延长,模拟计算结果表明,在中心峰值强度相等的条件下,用该器件所获得的超分辨效果比目前最好的纯相位型超分辨光阑要好。     

三环位相型光瞳滤波器的横向超分辨与轴向焦深扩展

用矢量衍射方法分析了线偏振光入射到带有三环位相型光瞳滤波器的高数值孔径物镜时,焦点的轴向和横向光强分布.数值模拟结果表明,高数值孔径物镜聚焦时需同时考虑光强的轴向和横向分布.通过加入三环位相光瞳滤波器,在实现横向超分辨的同时实现了光学系统轴向焦深扩展和轴向光强分布平坦化,并且位相调制深度变化时,会出现轴向焦移现象.对三环位相光瞳滤波器结构进行了优化,得出了优化结果. 关键词： 光学超分辨 扩展焦深 位相型光瞳滤波器 矢量衍射方法     

基于相位复原技术测试高数值孔径光学成像系统

干涉测量的方法已被广泛应用于光学系统的波前测试中。但是由于高数值孔径的标准具加工成本高、风险大,使用干涉测量的方法对高数值孔径光学系统进行测试存在困难。运用相位复原技术对高数值以小孔衍射光束作为高精度测试基准波前进行孔径光学系统波前测试,可以解决上述问题。对不同频率波前形成的点扩散函数模拟,分析了实际测试所需的实验条件。由于缺乏高精度的对比实验条件,引入一种新的误差分析方法,搭建检测平台完成对显微镜光学系统的波前测试。通过验证实验,证明了该测试方法的可靠性。     

经光阑衍射的平顶涡旋光束位相奇点的演化特性

推导出了平顶涡旋光束通过有光阑ABCD光学系统的传输解析式,并以光阑透镜和矩形光阑系统为例,与平顶光束比较研究了截断参量、相对离轴距离和光束阶数对衍射场中位相奇点演化特性的影响.数值计算表明,平顶涡旋光束通过上述光学系统均存在位相奇点,即使源处涡旋被光阑阻拦时,衍射场中也会出现位相奇点;而平顶光束通过光阑透镜系统存在刃型位错,随着截断参量增大,会发生刃型位错的演化和湮灭现象,且平顶光束通过矩形光阑系统没有发现位相奇点.     

波前编码系统相位板视场效应的消除

通过在光学系统的光阑面上加入一个非球面相位板,使得光学系统的成像对离焦不敏感.但当入射视场角较大时,图像的边缘发生变形且难以恢复.针对此问题,提出了两种解决方案,方案一是把相位板移至光路中光线较为平缓的区域,但不是系统的光阑位置;方案二是保持相位板位置不变,优化整个光学系统,使相位板前的光线能够平缓地入射到相位板.实验中对一个EFL=12.5 mm,F/#=1.3,半视场角为13.5°的波前编码实际系统进行仿真比较,得出方案二可以有效地消除波前编码相位板引入的视场效应.     

经光阑衍射的平顶涡旋光束位相奇点的演化特性

推导出了平顶涡旋光束通过有光阑ABCD光学系统的传输解析式,并以光阑透镜和矩形光阑系统为例,与平顶光束比较研究了截断参量、相对离轴距离和光束阶数对衍射场中位相奇点演化特性的影响.数值计算表明,平顶涡旋光束通过上述光学系统均存在位相奇点,即使源处涡旋被光阑阻拦时,衍射场中也会出现位相奇点;而平顶光束通过光阑透镜系统存在刃型位错,随着截断参量增大,会发生刃型位错的演化和湮灭现象,且平顶光束通过矩形光阑系统没有发现位相奇点.     

高斯光束通过含失调窄缝光阑的失调光学系统的传输特性

 利用硬边窄缝光阑的近似展开式和适用于失调光学系统的广义衍射公式,得出了高斯光束经含失调窄缝光阑的失调光学系统传输的近似解析式。模拟结果表明输出光束场分布与光束参量、光阑尺寸、ABCD矩阵元、光阑失调量和光学系统失调量有关。针对给定的光学系统和高斯光束定量分析了各失调量对输出光束场分布的影响,结果表明:光阑横向位移、光学系统横向位移和角位移均引起垂直于z轴截面内明显的光强非轴对称分布。当光阑半宽度为1 mm时,光阑的衍射作用使腰斑半径为0.5 mm的高斯光束产生-1.586π～1.465π范围的相对相移,且光阑横向位移、光学系统横向位移和角位移均引起焦平面前后相对相移的迅速变化。随光阑宽度变小,各失调量对输出光束特性的影响越明显。     

基于非正交二元相位板的多焦点阵列光镊

提出了一种基于非正交二元相位板的阵列光镊系统,此系统可以实现对非正交排列的多个粒子的稳定捕获。通过对高数值孔径物镜在紧聚焦条件下的傅里叶变换理论和遗传算法来设计二元相位,优化得到具有不同分束比的,具有高衍射效率、高均匀度的归一化相位转折点,进而根据相位转折点设计出具有不同倾斜角度的非正交二元相位板。利用此二元相位板可以获得高数值孔径物镜聚焦下的各种非正交分布的阵列光斑。利用此类非正交阵列光斑,在光镊实验中实现了对二氧化硅微球的稳定捕获。理论模拟与实验结果表明,此方法可以实现对非正交排列的大量粒子的稳定捕获,在纳米粒子阵列的外延生长领域有着良好的应用前景。     

光学系统杂光黑斑测量的理论研究

根据线性空间不变系统理论和标量衍射理论，用杂光点扩散函数讨论了在光学系统中多次反射和衍射所产生的杂光分布。在此基础上，用物和接收器互相关函数系统地分析了黑斑尺寸、接收小孔光阑尺寸以及黑斑照度对杂光测量的影响     

Intensity distribution and focal depth of axicon illuminated by Gaussian Schell-model beam

In view of second-order coherence theory, the generalized diffractive axicon illuminated by partially coherent Gaussian Schell-model (GSM) beams is analyzed. An analytical equation for focal depth of axicon without aperture illuminated by spatial partially coherent GSM beam is derived. We showed that the off-axis images can be evaluated by using the method of stationary phase at any correlation state, hence we demonstrated that the intensity distribution of diffracted beam is a superposition of Bessel Beams of various orders. We also showed that the diffracted beam is nondiffractive only on the boundaries of the focal depth.     

Phase anomaly and phase singularities of the field in the focal region of high-numerical aperture systems

The phase behavior of the three Cartesian components of the electric field in the focal region of a high-numerical aperture focusing system is studied. The Gouy phase anomaly and the occurence of phase singularities are examined in detail. It is found that the three field components exhibit different behaviors.     

Diffractive lens with binary phase levels to generate two focuses

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菲涅耳型衍射光学元件的研究

本文在衍射理论基础上,深入分析了菲涅耳型衍射光学元件的特性,针对连续及二元浮雕结构,建立了位相深度因子(M),波长匹配系数(α)与衍射效率的关系式,对影响衍射效率的因素进行了讨论.研究了设计与工艺的匹配问题,建立了数值孔径,最小特征尺寸与衍射效率的关系,为不同波段衍射光学元件的应用,及设计和评价衍射光学元件提供了有效的理论方法.本文最后举例分析了用于白光波前传感器中的小数值孔径微透镜列阵的性能,并对衍射效率及传递函数两个综合指标进行了测量.     

衍射光学透镜色散特性的仿真研究

在白光照射下,衍射光学透镜的焦距不仅同材料色散和波长色散有关,而且还同孔径因子有关。基于折射率随波长变化的经验公式,利用自编的仿真计算程序包,得到了透镜焦距、材料色散、波长色散、孔径因子之间的关系曲线。所获得的理论分析和仿真计算结果为进一步设计消色差的纯衍射目视光学系统提供了理论依据,具有一定的指导意义。     

Effects of different correlations of partially coherent electromagnetic beam on three-dimensional spectral intensity distribution in the focal region

The effects of position-dependent correlations between the x- and y-components of the partially coherent incident electromagnetic beam on the spectral intensity distribution in the focal plane and along the z-axis of an optical imaging system with a high-numerical aperture are studied. The electromagnetic Gaussian Schell-model (GSM) beam is employed as an example to illustrate the analysis.     

波长漂移对菲涅尔透镜影响的严格矢量分析

为了严格分析入射光波长相对相位型菲涅尔透镜的设计波长发生漂移时对其聚焦特性的影响,采用时域有限差分方法作为严格的矢量分析工具,得到了相位型菲涅尔透镜的光焦度与入射光波长以及衍射效率与入射光波长的关系曲线。仿真结果表明：与标量理论结果类似,菲涅尔透镜光焦度随入射光波的增加总体呈线性上升趋势,衍射效率随入射光波长漂移时设计波长下降,且衍射效率低于标量理论分析结果。     

Specific features of measuring the optical power of artificial refractive and diffractive–refractive eye lenses

Methods for monitoring the optical power of artificial refractive eye lenses (intraocular lenses) based on measuring focal lengths in air and in medium are analyzed. The methods for determining the refraction of diffractive–refractive lenses (in particular, of MIOL-Akkord type), with allowance for the specific features of the diffractive structure, are considered. A computer simulation of the measurement of the focal length of MIOL-Akkord lenses is performed. The effective optical power of the diffractive component of these lenses is shown to depend on the diaphragm diameter. The optimal diaphragm diameter, at which spherical aberrations do not affect the position of foci, is found to be 3 mm. Possible errors in measuring the focal lengths are analyzed, and the necessary corrections that must be introduced into measurement results and calculations of refractions are determined.     

Effect of polarization on focal depth in high numerical apertures optical systems

The generalized cylindrical vector beam is just a linear combination of radial and azimuthal polarization. For radially polarized light in the focal plane, there are two electric field components, the radial component and z-component whose magnitude increase with the increase of numerical aperture. By contrast, for azimuthally polarized light in the focal plane, there is only one electrical field component in the azimuthal polarization, it is easy to understand the difference between the two polarization effects. In this paper, we demonstrate how this phenomenon can be harnessed to make a properly selected polarization component to achieve high focal depth in high numerical aperture systems. Numerical simulations show that the evolution of the focal shape is very considerable by changing polarization rotation angle of the generalized cylindrical vector beam. And some interesting focal spots and focal split may occur. And if the ratio of radial and azimuthal polarization is set properly by changing the polarization rotation angle, a largest focal depth is achieved. The tunable range of the focal depth is very considerable. The ratio of radial and azimuthal polarization is different in different NA optical system for obtaining the largest focal depth. We will denote a technique of polarization-assisted high focal depth in high numerical aperture systems.     

Dual focus diffractive optical element with extended depth of focus

A dual focus property and an extended depth of focus were verified by a new type of diffractive lens displaying on liquid crystal on silicon (LCoS) devices. This type of lens is useful to read information on multilayer optical discs and tilted discs. The radial undulation of the phase groove on the diffractive lens gave the dual focus nature. The focal extension was performed by combining the dual focus lens with the axilens that was invented for expanding the depth of focus. The number of undulations did not affect the intensity along the optical axis but the central spot of the diffraction pattern.