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CN107121095B - A method and device for accurately measuring a super large radius of curvature - Google Patents

A method and device for accurately measuring a super large radius of curvature Download PDF

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CN107121095B
CN107121095B CN201710427891.2A CN201710427891A CN107121095B CN 107121095 B CN107121095 B CN 107121095B CN 201710427891 A CN201710427891 A CN 201710427891A CN 107121095 B CN107121095 B CN 107121095B
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grating
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curvature
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CN107121095A (en
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侯昌伦
辛青
藏月
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Hangzhou Electronic Science and Technology University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/24Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • G01B11/255Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures for measuring radius of curvature

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Abstract

本发明公开了一种精确测量超大曲率半径的装置及方法,该装置包括:被测元件、光源;分光镜,倾斜置于被测元件与光源之间,用于将光源发出的光照射到被测元件表面,将被测元件反射的反射光反射到第一光栅和第二光栅上;第一光栅与第二光栅;用于在反射平行光的照射下,第一光栅在第二光栅处产生的泰伯像与第二光栅形成莫尔条纹;成像系统;用于采集莫尔条纹图像,并将其传输至计算机;计算机;用于处理莫尔条纹图像确定莫尔条纹的角度,进而计算得到被测元件的曲率半径。该装置结构简单,且能实现对光学元件超大曲率半径的精确测量。

The invention discloses a device and method for accurately measuring a super large radius of curvature. The device comprises: a measured element, a light source; The surface of the measured element reflects the reflected light reflected by the measured element onto the first grating and the second grating; the first grating and the second grating; used to produce the first grating at the second grating under the irradiation of reflected parallel light The Talbot image and the second grating form moiré fringes; imaging system; used to collect moiré fringe images and transmit them to a computer; computer; used to process moiré fringe images to determine the angle of moiré fringes, and then calculate The radius of curvature of the component under test. The device has a simple structure and can realize accurate measurement of the ultra-large curvature radius of the optical element.

Description

一种精确测量超大曲率半径的方法及装置A method and device for accurately measuring a super large radius of curvature

技术领域technical field

本发明属于光学元件曲率半径测量领域,尤其涉及一种精确测量超大曲率半径的方法及装置。The invention belongs to the field of measuring the radius of curvature of an optical element, in particular to a method and a device for accurately measuring a super large radius of curvature.

背景技术Background technique

大口径光学元件系统是大型高功率激光系统,如国内ICF激光驱动器,美国国家点火装置(NIF)及法国兆焦耳激光工程(Mega-Joule Project)中必须使用的上千件各类光学元件。仅400×500以上的各类口径光学元件就有8000件,其中用于空间滤波和聚焦的长焦距透镜系统就有1000件左右,因此对于这些大口径长焦距光学系统必须进行有效的参数检测。在美国LIGO(laser interferometer Gravitational Wave Observatory)系统中也大量用到大口径的光学元件。The large-aperture optical component system is a large-scale high-power laser system, such as the domestic ICF laser driver, the US National Ignition Facility (NIF) and the French Mega-Joule Laser Project (Mega-Joule Project). Thousands of various optical components must be used. There are only 8,000 optical components of various apertures above 400×500, of which there are about 1,000 long-focus lens systems for spatial filtering and focusing. Therefore, effective parameter testing must be carried out for these large-aperture long-focus optical systems. Large-aperture optical components are also widely used in the LIGO (laser interferometer Gravitational Wave Observatory) system in the United States.

大口径光学元件由于口径大(250mm以上)、曲率半径大(大于10米)、空气扰动等干扰因素严重影响测试的精度。现有的曲率半径测量方法如接触式的球径仪,自成像曲率半径测量仪及采用干涉原理曲率半径测量仪对小的曲率半径(小于10米)能够实现高精度的测量。但是对于超大曲率半径(大于5000米),采用传统的半径测量手段很难获得高精度的测量,如何实现对这类大量使用元件的高精度的测量对这些重大项目具有重要的意义。Due to large aperture (above 250mm), large radius of curvature (greater than 10 meters), and interference factors such as air disturbance, large-aperture optical components seriously affect the accuracy of the test. Existing methods for measuring the radius of curvature, such as a contact spherometer, a self-imaging radius of curvature measuring instrument, and a radius of curvature measuring instrument using the interference principle, can achieve high-precision measurement of a small radius of curvature (less than 10 meters). However, for ultra-large curvature radii (greater than 5000 meters), it is difficult to obtain high-precision measurement using traditional radius measurement methods. How to achieve high-precision measurement of such a large number of components is of great significance to these major projects.

因此,需要开发一种能够精密超大曲率半径的检测仪器,提供给激光核聚变、引力波测量等国家重大工程项目中的光学元件的精确测量仪器,作为透镜从加工各工序到最终合格验收的检测依据和标准,以满足对这些光学元件质量的要求。Therefore, it is necessary to develop a detection instrument capable of precision ultra-large radius of curvature, which can be used as an accurate measurement instrument for optical components in major national engineering projects such as laser nuclear fusion and gravitational wave measurement, as a detection of the lens from each process to the final acceptance. Basis and standards to meet the quality requirements for these optical components.

发明内容Contents of the invention

为了解决现有技术中难以实现测量光学元件超大曲率半径的问题,本发明提出了一种精确测量超大曲率半径的方法及装置。该装置结构简单,且能实现对光学元件超大曲率半径的精确测量。In order to solve the problem that it is difficult to measure the ultra-large radius of curvature of the optical element in the prior art, the present invention proposes a method and device for accurately measuring the ultra-large radius of curvature. The device has a simple structure and can realize accurate measurement of the ultra-large curvature radius of the optical element.

本发明第一方面提出了一种精确测量超大曲率半径的装置,包括;The first aspect of the present invention proposes a device for accurately measuring the ultra-large radius of curvature, including;

被测元件、光源;DUT, light source;

分光镜,倾斜置于被测元件与光源之间,用于将光源发出的光照射到被测元件表面,将被测元件反射的反射光反射到第一光栅和第二光栅上;The beam splitter is placed obliquely between the measured element and the light source, and is used to irradiate the light emitted by the light source onto the surface of the measured element, and reflect the reflected light reflected by the measured element onto the first grating and the second grating;

第一光栅与第二光栅;用于在反射平行光的照射下,第一光栅在第二光栅处产生的泰伯像与第二光栅形成莫尔条纹;The first grating and the second grating; under the irradiation of reflected parallel light, the Taber image generated by the first grating at the second grating and the second grating form Moiré fringes;

成像系统;用于采集莫尔条纹图像,并将其传输至计算机;Imaging system; used to collect Moiré fringe images and transmit them to a computer;

计算机;用于处理莫尔条纹图像确定莫尔条纹的角度,进而计算得到被测元件的曲率半径。A computer; used to process the moiré fringe image to determine the angle of the moiré fringe, and then calculate the radius of curvature of the measured element.

作为优选,本发明第一方面提供的装置还包括:设于分光镜与光源之间、且用于将光源发出的发射光变成平行光的准直透镜。当光源离被测元件较近时,将准直透镜设置于光源与分光镜之间,可以将发散光变成平行光。Preferably, the device provided by the first aspect of the present invention further includes: a collimating lens arranged between the beam splitter and the light source and used to convert the emitted light from the light source into parallel light. When the light source is close to the component under test, the collimator lens can be placed between the light source and the beam splitter to change the divergent light into parallel light.

作为优选,本发明第一方面提供的装置还包括:用于调节光源传播方向的针孔、用于固定激光器与针孔的第一高精度位移平台、用于固定第二光栅与成像系统的第二高精度位移平台以及用于驱动第一高精度位移平台和第二高精度位移平台移动的高精度位移驱动器。Preferably, the device provided by the first aspect of the present invention further includes: a pinhole for adjusting the propagation direction of the light source, a first high-precision displacement platform for fixing the laser and the pinhole, and a first high-precision displacement platform for fixing the second grating and the imaging system. Two high-precision displacement platforms and a high-precision displacement driver for driving the movement of the first high-precision displacement platform and the second high-precision displacement platform.

固定于第一高精度位移平台上的激光器与针孔,在高精度位移驱动器的驱动下,可以精确地被移动到不同的位置,经过多次测量不同光源位置下的组合光焦度值,进而解算出被测元件的曲率半径,这样可以有效地消除照明光束的准直性的影响。The laser and the pinhole fixed on the first high-precision displacement platform can be accurately moved to different positions under the drive of the high-precision displacement driver, and the combined optical power value under different light source positions is measured many times, and then The radius of curvature of the component under test is calculated, which can effectively eliminate the influence of the collimation of the illumination beam.

为防止空气气流对测量的影响,作为优选,将整个装置用罩子密封起来。In order to prevent the influence of air flow on the measurement, it is preferable to seal the whole device with a cover.

本发明第二方面提供了一种应用第一方面提供系统的精确测量超大曲率半径的方法,具体包括:The second aspect of the present invention provides a method for accurately measuring the ultra-large radius of curvature using the system provided by the first aspect, which specifically includes:

(1)对精确测量超大曲率半径系统进行标定由于被测的焦距值为从第一块光栅到焦点的距离,通过精确沿光轴移动被测透镜,可以获得多组焦距精确的标准镜,实现多系统的精确标定;(1) Calibrate the system for accurate measurement of ultra-large curvature radius Since the measured focal length is the distance from the first grating to the focal point, by accurately moving the measured lens along the optical axis, multiple groups of standard mirrors with precise focal lengths can be obtained to realize Accurate calibration of multiple systems;

(2)利用高精度位移驱动器驱动第一高精度位移平台移动到相应的位置,避免照明光束的准直性的影响;(2) Using a high-precision displacement driver to drive the first high-precision displacement platform to move to a corresponding position, avoiding the influence of the collimation of the illumination beam;

(3)利用高精度位移驱动器驱动第二高精度位移平台移动到相应的位置,记录第一光栅与第二光栅之间的距离z、第一光栅与第二光栅的栅线夹角θ;(3) Utilize the high-precision displacement driver to drive the second high-precision displacement platform to move to the corresponding position, and record the distance z between the first grating and the second grating, and the grid line angle θ between the first grating and the second grating;

(4)利用成像系统采集莫尔条纹图像,并将莫尔条纹图像传输至计算机;(4) Utilize the imaging system to collect moiré fringe images, and transmit the moiré fringe images to the computer;

(5)计算机对接收到莫尔条纹图像进行处理,确定莫尔条纹的角度α,并计算得到被测元件的曲率半径Δr;(5) The computer processes the received moiré fringe image, determines the angle α of the moiré fringe, and calculates the radius of curvature Δr of the measured element;

其中,s为第一光栅与被测元件光轴之间的距离,r为被测元件的半径,其值为:Among them, s is the distance between the first grating and the optical axis of the tested component, r is the radius of the tested component, and its value is:

为第一光栅的周期P1与第二光栅的周期P2的比值; is the ratio of the period P 1 of the first grating to the period P 2 of the second grating;

莫尔条纹的角度α的计算公式为:The formula for calculating the angle α of Moiré fringes is:

P′1为泰伯像的周期,根据泰伯像的放大倍率关系获得;P′ 1 is the period of the Taber image, according to the magnification relationship of the Taber image get;

Δz为z的不确定度,Δs为s的不确定度,Δθ为θ的不确定度,Δα为α的不确定度,Δβ为β的不确定度。Δz is the uncertainty of z, Δs is the uncertainty of s, Δθ is the uncertainty of θ, Δα is the uncertainty of α, and Δβ is the uncertainty of β.

作为优选,不确定度Δz与不确定度Δs由高精度光栅尺测量得到,其值分别达到0.1mm和0.01mm。Preferably, the uncertainty Δz and the uncertainty Δs are measured by a high-precision grating ruler, and their values reach 0.1mm and 0.01mm respectively.

作为优选,不确定度Δα的获取方法为:由于α为计算机计算出的莫尔条纹的角度,利用一个精确打印的具有精确的确定的角度的黑白条纹图样,通过多次测量系统的图像采集系统获得图样的图像并用莫尔条纹角度计算的方法进行计算,获得α的不确定度Δα,其值达到0.003°。As a preference, the method for obtaining the uncertainty Δα is as follows: Since α is the angle of the Moiré fringe calculated by the computer, an accurately printed black and white fringe pattern with a precise and determined angle is used to pass through the image acquisition system of the multiple measurement system The image of the pattern is obtained and calculated by the method of calculating the moiré fringe angle, and the uncertainty Δα of α is obtained, and its value reaches 0.003°.

不确定度Δθ的获取方法为:当被测反射面为平面时,同时两块光栅的栅线夹角为0度时,理论上摩尔条纹的周期为无穷大(采集到的图像为均匀的灰度图),以此为起点,通过精密的旋转台控制两块光栅之间栅线的夹角,栅线夹角的不确定度由精密旋转台决定,由此可以获得θ的不确定度Δθ,其值达到0.003°。The method of obtaining the uncertainty Δθ is as follows: when the reflective surface to be measured is a plane, and the angle between the grid lines of the two gratings is 0 degrees, the theoretical moiré fringe period is infinite (the collected image is a uniform gray scale Fig. 1), taking this as a starting point, the angle between the grid lines between the two gratings is controlled by a precise rotary table, and the uncertainty of the grid line angle is determined by the precision rotary table, so that the uncertainty Δθ of θ can be obtained, Its value reaches 0.003°.

作为优选,不确定度Δβ的获取方法为:由于β为两个光栅的周期的比值,通过扫描电镜的精确测量,可以精确获得β的不确定度Δβ,其值为0.00001。Preferably, the method for obtaining the uncertainty Δβ is as follows: since β is the ratio of the period of two gratings, the uncertainty Δβ of β can be accurately obtained through the accurate measurement of the scanning electron microscope, and its value is 0.00001.

本发明精确测量超大曲率半径的装置,组合了最基本的光学测量仪器,结构简单,成本低,且在测量的过程中操作简单,能够实现对光学元件超大曲率半径的精确测量。The device for accurately measuring the ultra-large curvature radius of the present invention combines the most basic optical measuring instruments, has simple structure, low cost, and is easy to operate during the measurement process, and can realize accurate measurement of the ultra-large curvature radius of the optical element.

附图说明Description of drawings

图1是实施例1中应用的精确测量超大曲率半径的装置的第一个结构示意图;Fig. 1 is the first schematic structural view of the device for accurately measuring the super large radius of curvature applied in embodiment 1;

图2是实施例1中应用的精确测量超大曲率半径的装置的第二个结构示意图;Fig. 2 is the second structural representation of the device for accurately measuring the ultra-large radius of curvature applied in embodiment 1;

图3是实施例2中应用图1所示的装置进通过精密移动光源多次测量解算被测半径的原理图;Fig. 3 is the schematic diagram of applying the device shown in Fig. 1 in embodiment 2 to solve the measured radius through multiple measurements of the precise moving light source;

图4是实施例2中应用图2所示的装置进通过精密移动光源多次测量解算被测半径的原理图。Fig. 4 is a schematic diagram of applying the device shown in Fig. 2 in Embodiment 2 to calculate the measured radius through multiple measurements of a precise moving light source.

具体实施方式Detailed ways

为了更为具体地描述本发明,下面结合附图及具体实施方式对本发明的技术方案进行详细说明。In order to describe the present invention more specifically, the technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

实施例1Example 1

如图1所示,本实施例应用的精确测量超大曲率半径的装置包括:半径为5000米的被测元件、红外激光器、起准直作用的显微物镜、起分光作用的成像透镜、针孔、周期比为1.004018的光栅1与光栅2、CCD、支撑光栅2的毛玻璃片、计算机以及高精度位移驱动器,红外激光器与针孔固定于高精度位移平台一上,光栅2、毛玻璃片以及CCD固定于高精度位移平台二上。As shown in Figure 1, the device for accurately measuring the ultra-large radius of curvature used in this embodiment includes: a measured element with a radius of 5,000 meters, an infrared laser, a microscopic objective lens for collimation, an imaging lens for splitting light, and a pinhole , grating 1 and grating 2 with a period ratio of 1.004018, CCD, ground glass sheet supporting grating 2, computer and high-precision displacement driver, infrared laser and pinhole are fixed on high-precision displacement platform 1, grating 2, ground glass sheet and CCD are fixed on the second high-precision displacement platform.

在对精确测量超大曲率半径系统标定结束后;After the calibration of the system for accurately measuring the ultra-large radius of curvature is completed;

首先,利用高精度位移驱动器驱动第一高精度位移平台移动到相应的位置,避免照明光束的准直性的影响;Firstly, the high-precision displacement driver is used to drive the first high-precision displacement platform to move to the corresponding position, so as to avoid the influence of the collimation of the illumination beam;

然后,利用高精度位移驱动器驱动第二高精度位移平台移动到相应的位置,记录第一光栅与第二光栅之间的距离z为10m、第一光栅与第二光栅的栅线夹角θ为0.3°;Then, use the high-precision displacement driver to drive the second high-precision displacement platform to move to the corresponding position, record that the distance z between the first grating and the second grating is 10m, and the angle θ between the grid lines between the first grating and the second grating is 0.3°;

接下来,利用成像系统采集莫尔条纹图像,并将莫尔条纹图像传输至计算机;Next, use the imaging system to collect the moiré fringe image, and transmit the moiré fringe image to the computer;

最后,计算机对接收到莫尔条纹图像进行处理,确定莫尔条纹的角度α为37.4813°,并计算得到被测元件的曲率半径为:Finally, the computer processes the received moiré fringe image, determines that the angle α of the moiré fringe is 37.4813°, and calculates the radius of curvature of the tested component as:

Δr=2*0.1mm(Δz)+2*0.01mm(Δs)+24.89m(Δz)+3.11m(Δβ)+20.67m(Δθ)+0.135m(Δα)=48.80522mΔr=2*0.1mm(Δz)+2*0.01mm(Δs)+24.89m(Δz)+3.11m(Δβ)+20.67m(Δθ)+0.135m(Δα)=48.80522m

相对测量误差为: The relative measurement error is:

从上述的分析可以看出Δz、Δθ、Δβ对测量精度影响很大。如果能够减小Δz(使10米的测量距离不确定度小于0.1mm,严格控制环境因素如温度湿度,采用Reneshaw光栅尺可以进一步提高精度)。根据具体测量元件的半径,进一步优化初始参数设置,如光栅栅线夹角,光栅周期比等参数,还可以进一步提高测量精度。It can be seen from the above analysis that Δz, Δθ, and Δβ have a great influence on the measurement accuracy. If Δz can be reduced (the uncertainty of the measurement distance of 10 meters is less than 0.1mm, and environmental factors such as temperature and humidity are strictly controlled, the accuracy can be further improved by using the Reneshaw grating ruler). According to the radius of the specific measuring element, further optimize the initial parameter settings, such as the angle between the grating lines, the period ratio of the grating and other parameters, and the measurement accuracy can be further improved.

本实施例还可以应用图2所示的结构进行被测元件半径的测量,图2中,没有准直透镜,且起分光作用的为分光镜。In this embodiment, the structure shown in FIG. 2 can also be used to measure the radius of the device under test. In FIG. 2, there is no collimator lens, and the light splitting function is a beam splitter.

实施例2Example 2

利用图1所述的系统,通过精确移动光源的位置,进行多次测量不同点光源位置下的组合光焦度值,原理示意图如图3所示。Using the system described in Figure 1, by precisely moving the position of the light source, the combined optical power value under different point light source positions is measured multiple times, and the schematic diagram of the principle is shown in Figure 3.

由于激光器发出的光经过准直系统后总是存在一定的光焦度,不可能做到理想的平行光。假设这个光焦度为被测半径为R的被测面的焦距为R/2,则组合光焦度为:Since the light emitted by the laser always has a certain focal power after passing through the collimation system, it is impossible to achieve ideal parallel light. Suppose this focal power is The focal length of the measured surface with the measured radius R is R/2, then the combined optical power for:

其中d为准直系统等效透镜与被测透镜之间的距离。Where d is the distance between the equivalent lens of the collimation system and the lens under test.

将测试系统初始位置调试好,并将光源放置到准直透镜焦距附近。将被测透镜放置在测量位置,采集莫尔条纹,测得莫尔条纹的角度并计算出此时的测量值R1;精确向前移动光源δ1,采集莫尔条纹图像,计算出此时的测量值R2;继续精确向前移动光源δ2,相同的操作,采集莫尔条纹图像,通过计算机计算出此时的测量值R3。Adjust the initial position of the test system, and place the light source near the focal length of the collimator lens. Place the measured lens at the measurement position, collect moiré fringes, measure the angle of the moiré fringes, and calculate the measured value R 1 at this time; move the light source δ 1 accurately forward, collect the moiré fringe image, and calculate the current Continue to move the light source δ 2 precisely forward, do the same operation, collect moiré fringe images, and calculate the measured value R3 at this time by computer.

根据集合成像公式,我们有:According to the collective imaging formula, we have:

u表示物距,v1、v2、v3表示三种状态下的像距,通过上述各式的计算,得到被测透镜的半径R。u represents the object distance, v 1 , v 2 , and v 3 represent the image distances in the three states, and the radius R of the lens under test can be obtained through the calculation of the above formulas.

本实施例还可以应用图2所示的结构通过精确移动光源的位置,进行多次测量不同点光源位置下的组合光焦度值,原理示意图如图4所示。In this embodiment, the structure shown in FIG. 2 can also be used to accurately move the position of the light source to perform multiple measurements of combined optical power values at different point light source positions. The schematic diagram of the principle is shown in FIG. 4 .

以上所述的具体实施方式对本发明的技术方案和有益效果进行了详细说明,应理解的是以上所述仅为本发明的最优选实施例,并不用于限制本发明,凡在本发明的原则范围内所做的任何修改、补充和等同替换等,均应包含在本发明的保护范围之内。The above-mentioned specific embodiments have described the technical solutions and beneficial effects of the present invention in detail. It should be understood that the above-mentioned are only the most preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, supplements and equivalent replacements made within the scope shall be included in the protection scope of the present invention.

Claims (1)

1.一种精确测量超大曲率半径的方法,实现所述方法的精确测量超大曲率半径的装置包括:1. A method for accurately measuring the super large radius of curvature, the device for realizing the accurate measurement of the super large radius of curvature of the method comprises: 被测元件、光源;DUT, light source; 分光镜,倾斜置于被测元件与光源之间,用于将光源发出的光照射到被测元件表面,将被测元件反射的反射光反射到第一光栅和第二光栅上;The beam splitter is placed obliquely between the measured element and the light source, and is used to irradiate the light emitted by the light source onto the surface of the measured element, and reflect the reflected light reflected by the measured element onto the first grating and the second grating; 第一光栅与第二光栅;用于在反射平行光的照射下,第一光栅在第二光栅处产生的泰伯像与第二光栅形成莫尔条纹;The first grating and the second grating; under the irradiation of reflected parallel light, the Taber image generated by the first grating at the second grating and the second grating form Moiré fringes; 成像系统;用于采集莫尔条纹图像,并将其传输至计算机;Imaging system; used to collect Moiré fringe images and transmit them to a computer; 计算机;用于处理莫尔条纹图像确定莫尔条纹的角度,进而计算得到被测元件的曲率半径;A computer; used to process the moiré fringe image to determine the angle of the moiré fringe, and then calculate the radius of curvature of the measured element; 设于分光镜与光源之间、且用于将光源发出的发射光变成平行光的准直透镜;A collimating lens arranged between the beam splitter and the light source and used to convert the emitted light from the light source into parallel light; 用于调节光源传播方向的针孔、用于固定激光器与针孔的第一高精度位移平台、用于固定第二光栅与成像系统的第二高精度位移平台以及用于驱动第一高精度位移平台和第二高精度位移平台移动的高精度位移驱动器;The pinhole used to adjust the propagation direction of the light source, the first high-precision displacement platform used to fix the laser and the pinhole, the second high-precision displacement platform used to fix the second grating and imaging system, and the first high-precision displacement platform used to drive the A high-precision displacement driver for the movement of the platform and the second high-precision displacement platform; 所述精确测量超大曲率半径的方法包括以下步骤:The method for accurately measuring the super large radius of curvature comprises the following steps: (1)对精确测量超大曲率半径系统进行标定,由于被测的焦距值为从第一块光栅到焦点的距离,通过精确沿光轴移动被测透镜,可以获得多组焦距精确的标准镜,实现多系统的精确标定;(1) To calibrate the system for accurately measuring the ultra-large radius of curvature, since the measured focal length is the distance from the first grating to the focal point, by accurately moving the measured lens along the optical axis, multiple sets of standard mirrors with precise focal lengths can be obtained, Realize accurate calibration of multiple systems; (2)利用高精度位移驱动器驱动第一高精度位移平台移动到相应的位置,避免照明光束的准直性的影响;(2) Using a high-precision displacement driver to drive the first high-precision displacement platform to move to a corresponding position, avoiding the influence of the collimation of the illumination beam; (3)利用高精度位移驱动器驱动第二高精度位移平台移动到相应的位置,记录第一光栅与第二光栅之间的距离z、第一光栅与第二光栅的栅线夹角θ;(3) Utilize the high-precision displacement driver to drive the second high-precision displacement platform to move to the corresponding position, and record the distance z between the first grating and the second grating, and the grid line angle θ between the first grating and the second grating; (4)利用成像系统采集莫尔条纹图像,并将莫尔条纹图像传输至计算机;(4) Utilize the imaging system to collect moiré fringe images, and transmit the moiré fringe images to the computer; (5)计算机对接收到莫尔条纹图像进行处理,确定莫尔条纹的角度α,并计算得到被测元件的曲率半径Δr;(5) The computer processes the received moiré fringe image, determines the angle α of the moiré fringe, and calculates the radius of curvature Δr of the measured element; 其中,s为第一光栅与被测元件光轴之间的距离,r为被测元件的半径,其值为:Among them, s is the distance between the first grating and the optical axis of the tested component, r is the radius of the tested component, and its value is: 为第一光栅的周期P1与第二光栅的周期P2的比值; is the ratio of the period P 1 of the first grating to the period P 2 of the second grating; 莫尔条纹的角度α的计算公式为:The formula for calculating the angle α of Moiré fringes is: P′1为泰伯像的周期,根据泰伯像的放大倍率关系获得;P′ 1 is the period of the Taber image, according to the magnification relationship of the Taber image get; Δz为z的不确定度,Δs为s的不确定度,Δθ为θ的不确定度,Δα为α的不确定度,Δβ为β的不确定度;Δz is the uncertainty of z, Δs is the uncertainty of s, Δθ is the uncertainty of θ, Δα is the uncertainty of α, and Δβ is the uncertainty of β; 不确定度Δz与不确定度Δs由高精度光栅尺测量得到,其值分别达到0.1mm和0.01mm;Uncertainty Δz and uncertainty Δs are measured by high-precision grating ruler, and their values reach 0.1mm and 0.01mm respectively; 不确定度Δα的获取方法为:由于α为计算机计算出的莫尔条纹的角度,通过多次测量系统的图像采集系统获得图样的图像并用莫尔条纹角度计算的方法进行计算,获得α的不确定度Δα,其值达到0.003°;The method of obtaining the uncertainty Δα is: since α is the angle of the moiré fringe calculated by the computer, the image of the pattern is obtained through the image acquisition system of the multiple measurement system and calculated by the method of calculating the angle of the moiré fringe to obtain the indeterminate value of α Certainty Δα, its value reaches 0.003°; 不确定度Δθ的获取方法为:当被测反射面为平面时,同时两块光栅的栅线夹角为0度时,理论上摩尔条纹的周期为无穷大,以此为起点,通过精密的旋转台控制两块光栅之间栅线的夹角,栅线夹角的不确定度由精密旋转台决定,由此获得θ的不确定度Δθ,其值达到0.003°;The method to obtain the uncertainty Δθ is: when the reflective surface to be measured is a plane and the angle between the grid lines of the two gratings is 0 degrees, the theoretical moiré fringe period is infinite. Using this as a starting point, through precise rotation The table controls the angle between the grid lines between the two gratings, and the uncertainty of the grid line angle is determined by the precision rotary table, thus obtaining the uncertainty Δθ of θ, and its value reaches 0.003°; 不确定度Δβ的获取方法为:由于β为两个光栅的周期的比值,通过扫描电镜的精确测量,精确获得β的不确定度Δβ,其值为0.00001。The method of obtaining the uncertainty Δβ is as follows: since β is the ratio of the periods of the two gratings, the uncertainty Δβ of β is accurately obtained through the precise measurement of the scanning electron microscope, and its value is 0.00001.
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