The paper studies mainly a new kind of measure method of aspheric surface - laser wavelength - scanning interference testing . this research is aimed at putting forwarding laser wavelength scanning interference testing method . processing and analyzing instantly - read interference pattern corresponding with continuous varying wavelength , the method overcomes the following disadvantage : the longer referenced and measuring optical circuit in big - scale high - accuracy asphere testing and the sensitive interferential system to the disturb , such as the oscillation of worktable , dithering of air , and so on 研究的主要目的是针对在大型高精度非球面面形检测中干涉仪的参考光路和测量光路较长，干涉系统对工作台振动和空气抖动等外界干扰因素的影响敏感，干涉图不稳定等问题，提出了激光波长扫描干涉测试方法，该方法通过对瞬间读取的、与连续变化波长对应的干涉图的处理和分析，克服了上述缺点，为大型高精度非球面的检测提供了一种适用的方法。
In this paper , we summarize the present testing status of optical aspheric surface , expound the principle of laser wavelength scanning interference testing method , and analyze the laser that can be tuned , and we also study the change of wavelength . further more , we achieve the elementary design of experiment device , and curtly introduce the method and principle for interference fringe processing 本文对目前国内外的光学非球面的测量现状作了概略的叙述，给出了激光波长扫描干涉测试方法的原理，对波长可调谐的激光光源进行了分析，对激光器波长的变化进行了研究，对实验装置进行了初步的设计，并对干涉条纹图处理的方法和原理进行了简单的介绍。
This paper contains three chapters . we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p . in particular , a sufficient condition for mn with constant scalar curvature to be totally umbilical is given 讨论desitter空间s _ p ~ ( n + p )中具有平行的单位平均曲率向量的紧致类空子流形m ~ n的第二基本形式长度拼挤问题，给出了具有常数量曲率的这种子流形是全脐球面的一个充分条件。
In this paper , on basis of the current machining state , a testing principle on aspheric surface is put forward to , the principle is a kind of touching method by testing the meridian of aspheric surface and comparing it with the theoretical curve , so surface figure error is got . according to this principle , mechanical structure is designed and electric - control system is researched 本文首先基于现阶段非球面的加工状况，提出了用接触式检测非球面的子午面面形曲线并与理论曲线相比较，从而得到非球面面形误差的检测原理，并根据该原理进行了机械结构的总体设计和电控系统的研究。
Magnetorheological finishing ( mrf ) is a newly developed optical machining method , which can achieve fine - finished optical apparatus efficiently . combining with electro - magnetics , hydrodynamics and chemistry , mrf has been applied in optical machining . plane surface , sphere and asphere made of different optical materials can be machined 它将电磁学、流变学、化学综合作用于光学加工中,可以实现对光学器件的高效精密抛光,是获得超光滑光学表面的理想工艺之一,目前已经被应用于对平面、球面、非球面的超精密加工,可加工材料范围涵盖了光学玻璃、微晶玻璃、光学晶体等多数光学材料。
Third , we present some exact global solutions with values in unit sphere for 2 - dimensional landau - lifshitz equations with certain initial - boundary conditions , next , we give a tuft of initial data which generate a group of exact global smooth solutions with values in the unit sphere . these solutions , as we shall prove later , form a continuum 第三、给出具一定初边值条件的二维landau - lifshitz方程的一些精确的取值于单位球面的整体光滑解，同时给出一簇初值，这簇初值使得landau - lifshitz方程有一簇精确的取值于单位球面的整体光滑解，这簇整体光滑解构成一个连续统。
The reasons to choose aspherical grads method as the principle were presented . the two spheres which were gotten from aspherical grads method and least square method were analyzed by fem software , and the deviation with the wanted aspherical surface and the maximum stress were compared under same confined condition , same loading position and loading points . also , we proved that the sphere gotten from aspherical grads method has less surface error and stress after deformation 用有限元软件分别对非球面变化梯度法和最小二乘法所获球面进行了分析,比较两种球面在相同边界条件、相同加载位置和个数下,与所需非球面的面形误差和应力的大小,证明了用非球面变化梯度法所获得的球面在变形后,面形精度更高,应力更小。
Freebear products facilitate the movement of all kinds of things safely and easily in a wide range of fields beginning with the production and distribution fields by firmly supporting heavy things on the spheres small points . we doubly assure the quality of our products and ensure smooth rotation thanks to our original precision processing method and the use of high precision ball bearings 万向轴承万向轴承装置工作台万向轴承万向轴承装置工作台freebear在球面的小“点”牢固支撑重量物，不仅限于生产物流领域，在其它各个领域，均可轻松实现所有物体的安全“移动” 。
The mathematic model of the ultra - thin spherical mirror is to be treated as elastic thin shell . then the predigested model , i . e . , bended beam , used in qualitative analysis was proposed , and its deflection and stress formulas under the freely supported condition were set up . based on an off - axis aspherical primary mirror , the relationship of aspherical surface error ( rms ) in tangential plane with bended beam ’ s radius r , position s of concentrated load p and geometry length l of arc was analyzed 根据这一设想,本文建立了超薄镜的数学模型?薄壳,并提出了强制力作用下超薄镜的简化模型?曲梁,推导了曲梁在简支情况下受力变形的挠度公式,并结合一个实例,计算出曲梁变形后与所需非球面的面形残差( rms )在子午方向与曲梁弧长l 、曲梁半径r及集中力位置s的关系及满足面形精度的r和s范围,分析了弧矢方向的rms ,得出了同时满足子午和弧矢方向面形要求的l 、 r和p 。
The data formats of optical design software ( code v ) and optical cnc machines are investigated . based on the function of optical design software that can output documents with file type of txt , we developed the software in visual c + + used to control optical manufacture process . the software can find parameters of curve surfaces from the documents , handle the data stream of optical design software , the technological parameters of optical manufacture machines and surface error data of talysurf , and simulate the manufacture process 研究光学设计软件( codev )和光学cnc制造设备的数据格式，利用光学设计软件的文档输出功能，采用vc + +编制一个能从上述文件中自动发现曲面方程的接口，处理光学软件数据流、光学设备工艺参数以及轮廓仪的面形检测数据，仿真加工过程，生成用于光学加工的控制代码实现非球面的铣磨和抛光，实现光学cad cam一体化制造。
