A mathematical model of Schmidt corrector plate with defocus in variable for quick F ratio and large aperture systems

To make it easier for designing Schmidt optical systems, based on wavefront aberration functions, a mathematical model of the corrector plate aspheric surfaces varies as a function of defocusing amount is established. It corrects not only the third-order spherical aberration, but also the 5th-order spherical aberration for the system. A series of Schmidt optical systems were designed as examples to evaluate the mathematical model of the aspherics. Results show that the mathematical model is precisely in fitting the needed shape of the corrector, and can be used for the systems for quick F ratio and large aperture. A mathematical model for reflective correctors shape is also established.     

Simulation of Differential Phase Detection Method Combined with Astigmatic Method using a Half Mirror in an Optical Pick-up

In an error detection optical system for optical pick-ups using a parallel plane type half mirror, influence on the differential phase detection (DPD) signal by a coma aberration was simulated. The coma aberration deforms the spot profile on the photodetector and influences the DPD signal level characteristics and the offset characteristics with respect to the objective lens shift. In the 4-segment-type DPD, the coma aberration caused by a half mirror 2.75 mm thick hardly affects the DPD signal if the photodetector is not misaligned. On the other hand, the 2-segment-type DPD has a small offset variation with respect to the objective lens shift and a large variation of the DPD signal level against the misalignment of the photodetector in comparison with the 4-segment-type DPD when there is no coma aberration. In the presence of a coma aberration, however, these variations of the 2-segment-type DPD are suppressed by choosing a pair of elements without the coma apex part of the spot.     

面对称光学系统的初级波像差理论研究

非旋转轴对称光学系统波像差理论的建立有利于理解旋转 轴对称光学系统的装调误差和离轴三反射光学系统等非旋转轴对称光学系统的选型设计. 本文利用旋转轴对称球面光学系统的全口径初级波像差理论推导了子孔径面对称光学系统的初级波像差分布公式, 证明了面对称光学系统中的节点像差理论, 即除球差外的所有初级像差的零值节点偏离视场中心, 而不再是视场的旋转对称函数; 并首次阐述了多零值节点初级非对称像差产生的根源和变化特性. 该理论可以有效指导非对称光学系统初始结构的选择和优化设计过程. 关键词： 面对称 像差 几何光学     

Selection and optimization of mirror structure of off-axis two-mirror afocal system北大核心CSCD

According to the structural characteristics of aspheric off-axis two-mirror optical system, the imaging characteristics of the system were analyzed by using primary aberration theory. Based on the characteristics of different aspheric surfaces, the vector expression of system aberrations was derived. Using the Seidel coefficients, the primary wave aberration of systems were expanded and values of system aberration for different aspheric surface shapes were specifically calculated. After the evaluation index of the off-axis structure was determined, the imaging qualities of different surface shape combinations were compared. Then the optimal surface shape selection method was analyzed by quantitative comparison results. The results show that compared with other reflector combination methods, the spherical aberration, coma and astigmatism of the off-axis double paraboloid system are all 0, the wavefront RMS is much better than λ/14 (λ=0.587 6 μm), and the Strehl ratio is greater than 0.8. According to the calculation results, it not only has a stronger ability to suppress multiple primary aberrations, but also can effectively compress the volume of the system. Copyright ©2022 Journal of Applied Optics. All rights reserved.     

Conditions for identical position of optimal image plane for axial imaging with different values of f-number

By analysis of the dependence of longitudinal spherical aberration on the numerical aperture, it is possible to find such values of the numerical aperture, where spherical aberration is zero. Such values of the numerical aperture are called correction zones. The work theoretically analyses the described problem and equations are given for wave aberration coefficients using correction zones for spherical aberration of the third and the fifth order. Our work presents an analysis of optimal values of correction zones and an optimal position of the center of the reference sphere based on the variance of wave aberration for the image quality evaluation. Relations are described for calculation of correction zones of an optical system having an identical position of the optimal image plane for two values of the f-number. The analysis of optical systems using correction zones is performed on an example.     

Objective Lens System for Variable Thickness of Disk Base

As the thickness of a disk base is varied, the variation of spherical aberration becomes remarkable. An objective lens system with compensating lenses on the light source side is designed. By moving the compensating lenses along the optical axis backward or forward, the spherical aberration caused by the variation in thickness of the disk base is corrected.     

折反射系统中的梯度折射率校正板

本文给出了一种类似于施密特非球面校正板作用的梯度折射率介质平板,这种介质是一种弱径向梯度折射率介质。     

Aberration correction of a single aspheric lens with particle swarm algorithm

In order to design a single aspheric lens to meet the requirements of spherical aberration, the particle swarm algorithm is applied to the aberration correction for a single aspheric lens. A mathematical model is constructed, and a program code is developed. Merit functions in an optical system are employed as fitness functions, which combined coefficients of a higher order polynomial equation, a reciprocal of radius of curvature, the conic constant, thicknesses among lens surfaces and refractive indices regarding an optical system. By using this function, the automatic correction of spherical aberration is carried out. The example for a single aspheric lens design using particle swarm algorithm shows that PSO as a tool of the spherical aberration correction for a single aspheric lens is simple and effective, and easy to find a series of good design results. The asphere's more complex surface profile can reduce or eliminate easily spherical aberration at different incidence heights at one time. The automatic design and analysis of a single aspheric lens using this method from the view of a particular optical design problem are presented.     

Single Telephoto Lens for Focus Error Detection with Astigmatic Method

An astigmatic method for focus error detection has been integrated into a singlet. The first convex and the second concave surfaces compose a telephoto system with a telephoto ratio of about 0.4. The first surface of the lens is rotationally symmetrical asphere and the second surface is a toric shape whose aspherical profiles correct spherical aberration. We implemented our optical design using a molded glass process. Its performance was confirmed using the optical head of a magneto-optical disk system.     

机载多尺度广域高分辨率成像系统设计

针对机载光电成像系统的大视场高分辨率成像需求,设计一种基于共心球透镜的多尺度广域高分辨率光学成像系统,该光学系统包括大尺度共心球透镜和小尺度次级相机阵列,具有结构紧凑的优点。根据共心球透镜所具有的球差和色差特性,并结合小尺度相机对像差进行进一步校正以分割视场,可以实现大视场高分辨率成像。全系统在受力以及高、低温的条件下进行实验,实验结果表明该成像系统具有良好的稳定性,且全视场范围内的调制传递函数值恒接近于系统的衍射极限,弥散斑半径的方均根值小于探测器的像元尺寸,说明该系统的成像效果良好。所提系统可以有效解决传统机载成像系统难以同时满足大视场和高分辨率的问题,为光学成像系统设计提供一种新思路。     

Pickup lens inspection on the 5th order aberration using shearing interference by grating with curve fitting algorithm

An optical system based on shearing interference using diffraction grating was applied, to carry out the aberration inspection process of the pickup lens of a digital versatile disc (DVD) at high speed. An algorithm was devised that processes points allocated on certain lines on a fringe and fits relations between the distance from basis point to the measurement points, and phase data of the fringe at these points to an equation of higher degree as curve fitting. Aberration was numerically estimated as the size of a certain coefficient. Simulation showed that this algorithm could detect all 5th order aberrations independently. An inspection system developed based on this optical system and algorithm detected aberration as accurately as a conventional interferometer that has been used as the standard, attaining an inspection time of 1/10-1/20. In comparison with the spot method, this system has 5th order aberration detecting ability and 1/3 the inspection time.     

激光靶心冲击波观测镜折反式光学系统设计

设计了一种激光靶心冲击波观测镜的光学系统.用反射式光学系统代替折射式光学系统,解决了普通玻璃在200 nm端透过率较低的问题.反射镜不引入色差,有利于系统在200~800 nm谱段消色差.为消系统轴外像差,反射系统选型为对称式.反射镜全部采用球面镜,为消反射镜以及平板玻璃窗带入的球差,引入校正镜(材料JGS1),在满足要求的条件下,控制折射镜的厚度,使系统色差满足瑞利判据的色差允差,得到了良好的成像质量.     

折衍混合单透镜的色球差校正研究

分析研究了小视场折射混合单透镜的设计中，当衍射面同时用于消色差和球差时光焦度分配的最优方案，得到了改进的光焦度分配公式，通过设计实例表明，由该改进公式可得到了较好的初始结构，能够有效地克服了衍射光学透镜校球差时产生的较大的色球差，验证了此改进公式的正确性和有效性，此改进公式对折衍混合系统的设计具有指导意义。     

用粒子群算法进行单个非球面透镜的球差校正

为设计出符合球差要求的单个非球面透镜,把粒子群算法应用到单个非球面透镜的球差校正中,构造相应的数学模型,并编程实现算法.设计关于非球面高次多项式的顶点曲率半径,高次多项式各项系数,透镜面之间的距离和玻璃折射率等光学系统结构参数的适应度函数,用这个函数作为评价函数,实现对球差的自动校正.给出用粒子群算法进行单个非球面透镜设计的实例,结果证明:粒子群算法用于非球面透镜的球差校正简单有效,能同时校正不同入射高处的球差,且容易发现一系列好的设计结果.从实际光学设计角度呈现使用这种方法进行单个非球面透镜的自动设计分析.     

光盘存储读出信道的实现

通过构建适合于硬件电路实现的读出信道数学模型以及对光存储系统中存在的噪声、抖晃和扰动的分析,在FPGA(Field programmable gate array)硬件平台上,实现了对任意二阶至四阶记录光盘读出RF(Radio frequency)信号的模拟实时连续输出。在信道模拟的硬件算法设计中,采用了四倍频的方法和基于ROM(Read-only memory)查找表的方法实现了100Mbit高速情况下的卷积运算。设计结果得到了逼真的网眼图,验证了模型的正确性,且已作为光盘系统后续信号处理模块的信源,加快了光盘系统研制开发的步伐。     

Pure Diffractive Multicolor Optical Fourier Transform System Design

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Advanced optimization method for spherical aberration and focus offset for optical disc drive

We developed an optimization method for spherical aberration and focus offset for an optical disc drive using an elliptical approximation. This method measures the small number of points that are located at specific positions. Furthermore, it approximates a characteristic distribution to an ellipse and calculates the center of the ellipse as the optimal point. The effectiveness of this method is experimentally confirmed using Blu-ray discs with three types of protective layer of various thicknesses.     

自由曲面成像光学系统设计:理论、发展与应用

传统球面以及非球面可供光学系统设计使用的自由度较少.自由曲面打破了旋转对称以及平移对称的几何约束,特别适用于校正非旋转对称系统的像差,同时可以减少系统中元件的数量,减小系统的体积与质量,实现传统光学系统难以实现的系统参数、结构与功能.自由曲面为光学设计的发展注入了巨大潜力,但同时也带来了全新的困难与挑战.概括性地总结了...     

共轴球面光学系统的热象差分析

本文系统分析了径向均匀温度场中,热对共轴球面光学系统的影响,得到了初级位置热象差与初级倍率热象差的一般表达式.在此基础上得到了均匀温度场中薄透镜系统的热象差表示式,该热象差表示可以用来指导无热象差光学系统的设计.最后根据上述分析,讨论了几种简单系统的热效应与无热象差设计途径.     

偏心和倾斜光学系统的像差特性

运用一种新的分析偏心和倾斜光学系统初级像差特性的方法—矢量像差理论,分析了具有较大交叉倾斜角的平行平板光学系统和具有较大倾斜角的光楔光学系统的像差特性.通过ZEMAX光学设计软件像差分析功能中的垂轴像差曲线、场曲曲线和点列图加以比较,两者非常吻合,证明该理论可以对具有较大倾斜元件的非共轴光学系统设计起指导作用.