CN1719192A - Two-dimensional photoelectric self-collimation device and measurement method based on optical path multiplication compensation method - Google Patents

Two-dimensional photoelectric self-collimation device and measurement method based on optical path multiplication compensation method Download PDF

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CN1719192A
CN1719192A CN 200510077456 CN200510077456A CN1719192A CN 1719192 A CN1719192 A CN 1719192A CN 200510077456 CN200510077456 CN 200510077456 CN 200510077456 A CN200510077456 A CN 200510077456A CN 1719192 A CN1719192 A CN 1719192A
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谭久彬
敖磊
崔继文
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Harbin Institute of Technology Shenzhen
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Abstract

The present invention relates to high precision 2-D photoelectric autocollimating equipment based on optical path multiplication compensation method. Said equipment successively includes laser light source, calibrated plate, main spectroscope, main CCD image sensor, collimating objective and measurement reflector. Besides, said invention also provides its measurement method and concrete steps.

Description

基于光程倍增补偿方法的二维光电自准直装置和测量方法Two-dimensional photoelectric self-collimation device and measurement method based on optical path multiplication compensation method

技术领域technical field

本发明属于精密仪器制造和精密测试计量技术领域,特别涉及一种基于光程倍增补偿方法实时补偿光束的角漂移量的高精度二维光电自准直装置和测量方法。The invention belongs to the technical field of precision instrument manufacturing and precision test and measurement, and in particular relates to a high-precision two-dimensional photoelectric self-collimation device and a measurement method for real-time compensation of the angular drift of light beams based on an optical path multiplication compensation method.

背景技术Background technique

随着测量技术的不断改进和提高,现代化高精度测量技术和方位瞄准跟踪系统的发展对小角度的测量精度提出了越来越高的要求。光电自准直仪在小角度精密测量,高精度瞄准与定位方面有着不可替代的作用,可以作为测角仪、光学比较仪等光学计量仪器的组成部分,也可单独用于测量仪器用于光学测量、航空航天仪器装调和军用飞行器姿态测量等方面。With the continuous improvement and improvement of measurement technology, the development of modern high-precision measurement technology and azimuth targeting and tracking system has put forward higher and higher requirements for the measurement accuracy of small angles. Photoelectric autocollimator plays an irreplaceable role in small-angle precision measurement, high-precision aiming and positioning. It can be used as a component of optical measuring instruments such as goniometers and optical comparators, and can also be used alone in measuring instruments for optical Measurement, assembly and adjustment of aerospace instruments and attitude measurement of military aircraft.

在高精度小角度测量中,对于测量不确定度优于0.5″的光电自准直仪,光源部分光束的角漂移量是光电自准直仪测量误差的主要来源。当光源发出的光束存在光束漂移时,如氦氖激光器谐振腔内反射镜变型引起光束的角漂移量为:10-6~10-7rad,即:0.02″~0.2″(1.万德安.激光基准高精度测量技术.国防工业出版社.1999年6月;2.方仲彦,殷纯永,梁晋文.高精度激光准直技术的研究(一).航空计测技术.1997,17(1):3-6),如果采用光斑中心定位方法,则接收器接收的光斑中心随光束漂移而漂移;如果采用轮廓中心定位方法,则由于光束漂移,接收器接收的光斑的能量中心和轮廓的几何中心不重合引起轮廓中心的偏移,直接产生轮廓中心的定位偏差。如果不对该角漂移量进行修正或补偿,将直接反馈回小角度的测量结果引起的角度测量误差,导致仪器数据重复性差,稳定性不好。若要进一步提高测量不确定度,仅仅依靠提高光束自身的准直精度,无论是从现有技术还是工艺制造水平上都是难以实现的。采用误差分离和补偿技术,特别是动态补偿技术,为消除或补偿修正该角漂移量引起的角度测量误差,实现高精度的小角度测量提供了一种有效的技术途径。In high-precision small-angle measurement, for a photoelectric autocollimator with a measurement uncertainty better than 0.5", the angular drift of the light source part of the beam is the main source of measurement error of the photoelectric autocollimator. When the light beam emitted by the light source exists When drifting, for example, the angular drift of the beam caused by the modification of the reflector in the cavity of the helium-neon laser resonator is: 10 -6 ~ 10 -7 rad, that is: 0.02″ ~ 0.2″ (1. Wandean. Laser reference high-precision measurement technology . National Defense Industry Press. June 1999; 2. Fang Zhongyan, Yin Chunyong, Liang Jinwen. Research on High-precision Laser Alignment Technology (1). Aeronautical Measurement Technology. 1997, 17(1): 3-6), if using If the spot center positioning method is used, the spot center received by the receiver will drift with the beam drift; if the profile center positioning method is adopted, the energy center of the spot received by the receiver and the geometric center of the profile will not coincide due to the beam drift, causing the deviation of the profile center. If the angle drift is not corrected or compensated, it will be directly fed back to the angle measurement error caused by the measurement result of a small angle, resulting in poor repeatability and stability of the instrument data. To further It is difficult to improve the measurement uncertainty only by improving the collimation accuracy of the beam itself, whether it is from the existing technology or the manufacturing level. The error separation and compensation technology, especially the dynamic compensation technology, is used to eliminate or compensate Correcting the angle measurement error caused by the angle drift provides an effective technical approach to realize high-precision small-angle measurement.

目前,工程中广泛使用的光电自准直仪,如国家计量局北京计量仪器厂出产的702型光电自准直仪,测量分辨力0.1″,测量不确定度为:10′范围内为2″,视场中心任意4′~6′范围内为0.5″(武晋燮.几何量精密测量技术.哈尔滨工业大学出版社.1989年9月)。该测量方案测量的是一维角度量,如果测量另一维角度量,必须在这个方向上重新调整仪器,导致测量过程繁琐且数据重复性差,同时会引入人为测量误差以及机械的回程误差;同时光束的角漂移量仍然存在,测量不确定度难以提高。At present, the photoelectric autocollimator widely used in engineering, such as the 702 photoelectric autocollimator produced by the Beijing Metrology Instrument Factory of the National Metrology Bureau, has a measurement resolution of 0.1″ and a measurement uncertainty of 2″ within 10′ , within the range of any 4′~6′ in the center of the field of view is 0.5″ (Wu Jinxie. Geometric Quantity Precision Measurement Technology. Harbin Institute of Technology Press. September 1989). This measurement scheme measures a one-dimensional angle. For one-dimensional angle measurement, the instrument must be readjusted in this direction, resulting in cumbersome measurement process and poor data repeatability. At the same time, it will introduce artificial measurement error and mechanical return error; at the same time, the angular drift of the beam still exists, and the measurement uncertainty is difficult to improve. .

为克服光电自准直仪在测量两个方向的角度量时,二次调整仪器所带来的重复性差的缺点,提高光电自准直仪的测量分辨力,同时能满足数据实时显示和存储的需要,许多厂家和科研院所研制出采用高精度CCD图像传感器测量二维角度的光电自准直仪。例如:In order to overcome the shortcomings of poor repeatability caused by the secondary adjustment of the instrument when the photoelectric autocollimator measures the angles in two directions, improve the measurement resolution of the photoelectric autocollimator, and at the same time meet the requirements of real-time display and storage of data Many manufacturers and research institutes have developed photoelectric autocollimators that use high-precision CCD image sensors to measure two-dimensional angles. For example:

1.德国ELCOMAT公司生产的ELCOMAT vario型号的光电自准直仪。采用高精度的CCD图像传感器,通过测量CCD图像传感器上接收到的光斑中心移动的位移量来精确测出测量反射镜的小角度变化量,产品ELCOMAT vario 500T/D65的双轴自准直仪的技术指标为:在X轴为24′,Y轴为18′的测量范围内测量不确定度为±0.4″(德国MLLER-WEDEL公司ELCOMAT vario双轴自准直仪中文操作手册.2004);1. Photoelectric autocollimator of ELCOMAT vario type produced by ELCOMAT company in Germany. Using a high-precision CCD image sensor, by measuring the displacement of the center of the light spot received on the CCD image sensor to accurately measure the small angle change of the measuring mirror, the biaxial autocollimator of the product ELCOMAT vario 500T/D65 The technical index is: the measurement uncertainty is ±0.4″ within the measurement range of 24′ on the X axis and 18′ on the Y axis (Chinese operation manual for ELCOMAT vario dual-axis autocollimator of German MLLER-WEDEL company. 2004) ;

2.专利99242552.2“二维动态数显式自准直仪”;2. Patent 99242552.2 "Two-dimensional dynamic digital display autocollimator";

3.专利99254139.5“光电自准直仪”;3. Patent 99254139.5 "Photoelectric Autocollimator";

4.专利200410032713.2“自准直仪”。4. Patent 200410032713.2 "Autocollimator".

激光光束由于其良好的单一方向性、高亮度及高稳定性等优点,常被作为测量基准广泛应用于超精密加工设备及测量设备中,许多科研院所研制出采用激光光源和高精度CCD图像传感器测量二维角度的光电自准直仪(1.吴秀丽.激光自准直仪.光机电信息.1994年08期:11-13;2.蒋本和,陈文毅,胡文斐,胡庆荣.用激光准直及CCD检测的小角度测量系统.激光与红外.1998,28(4):233-234+243;3.林玉池,张萍,赵美蓉,洪昕.野外使用的半导体激光自准直仪.航空精密制造技术.2001,37(3):35-37;4.张尧禹,张明慧,乔彦峰.一种高精度CCD激光自准直测量系统的研究.光电子·激光.2003,14(2):168-170;5.马福禄,张志利,周召发.基于M型分划丝的单线阵CCD直线度准直仪.光学技术.2002,28(3):224-225+227)。Due to its good single directionality, high brightness and high stability, the laser beam is often used as a measurement standard and widely used in ultra-precision processing equipment and measurement equipment. Many scientific research institutes have developed laser light source and high-precision CCD image Photoelectric autocollimator with sensor measuring two-dimensional angle (1. Wu Xiuli. Laser autocollimator. Opto-Mechanical Information. 1994, Issue 08: 11-13; 2. Jiang Benhe, Chen Wenyi, Hu Wenfei, Hu Qingrong. Using laser Small-angle measurement system for collimation and CCD detection. Laser and Infrared. 1998, 28(4): 233-234+243; 3. Lin Yuchi, Zhang Ping, Zhao Meirong, Hong Xin. Semiconductor laser autocollimator for field use . Aeronautical Precision Manufacturing Technology. 2001, 37(3): 35-37; 4. Zhang Yaoyu, Zhang Minghui, Qiao Yanfeng. Research on a High-precision CCD Laser Self-collimation Measurement System. Optoelectronics Laser. 2003, 14(2) : 168-170; 5. Ma Fulu, Zhang Zhili, Zhou Zhaofa. Single linear array CCD straightness collimator based on M-type reticle. Optical Technology. 2002, 28(3): 224-225+227).

由于采用了激光光源和高精度CCD图像传感器,提高光束的准直性、测量距离和测量分辨力的同时实现了二维角度的自动化测量,数据实时显示和存储。Due to the use of a laser light source and a high-precision CCD image sensor, the collimation of the beam, the measurement distance and the measurement resolution are improved while the automatic measurement of the two-dimensional angle is realized, and the data is displayed and stored in real time.

但是在实际应用中,尤其是从光路和机械结构以及测量过程上可知上述测量方案均存在如下不足之处:由于没有采用任何误差补偿或修正的手段,光束的角漂移量在测量过程中没有消除,最后混合在测量结果中引起的角度测量误差,直接导致光电自准直仪的测量稳定性差,测量不确定度难以进一步提高,大大限制了光电自准直仪的应用范围,这是该测量方案本身的不足之处,也是当前光电自准直仪的实际应用中未能解决的重要问题。However, in practical applications, especially from the optical path, mechanical structure and measurement process, it can be seen that the above measurement schemes have the following shortcomings: since no error compensation or correction is used, the angular drift of the beam is not eliminated during the measurement process , and finally mixed with the angle measurement error caused in the measurement results, it directly leads to the poor measurement stability of the photoelectric autocollimator, and it is difficult to further improve the measurement uncertainty, which greatly limits the application range of the photoelectric autocollimator. This is the measurement scheme The insufficiency of itself is also an important problem that cannot be solved in the practical application of the current photoelectric autocollimator.

发明内容Contents of the invention

本发明的目的在于克服上述已有的光电自准直仪测量方案中存在的不足,提供一种基于光程倍增补偿方法的二维光电自准直装置和测量方法,通过前置分光镜获取与测量光束特性完全相同的参考光束,由相对平行放置的两个平面反射镜组成的光程倍增装置对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,由前置CCD图像传感器实时监测光束的角漂移量并动态补偿光束的角漂移量引起的角度测量误差,可显著提高二维光电自准直仪的测量稳定性和测量精度。The purpose of the present invention is to overcome the deficiencies existing in the above-mentioned existing photoelectric autocollimator measurement scheme, to provide a kind of two-dimensional photoelectric autocollimation device and measurement method based on the optical path multiplication compensation method, and obtain and measure through the front spectroscope The reference beam with the same characteristics of the measurement beam, the optical path multiplication device composed of two relatively parallel plane mirrors reflects the reference beam multiple times, prolongs the optical path of the reference beam, and enlarges the linear displacement corresponding to the beam angle drift , the front CCD image sensor monitors the angular drift of the beam in real time and dynamically compensates the angle measurement error caused by the angular drift of the beam, which can significantly improve the measurement stability and measurement accuracy of the two-dimensional photoelectric autocollimator.

本发明采用的技术解决方案是:一种基于光程倍增补偿方法的二维光电自准直装置,包括依次放置的激光光源、分划板、主分光镜、主CCD图像传感器、准直物镜、测量反射镜,在激光光源和分划板之间放置一前置分光镜,获取与测量光束特性完全相同的参考光束,一光程倍增装置对参考光束进行多次反射,一前置CCD图像传感器对光束的角漂移量进行监测;所说的光程倍增装置由相对平行放置的两个平面反射镜组成。The technical solution adopted by the present invention is: a two-dimensional photoelectric self-collimation device based on the optical path multiplication compensation method, including a laser light source, a reticle, a main beam splitter, a main CCD image sensor, a collimating objective lens, Measuring mirror, place a pre-beam splitter between the laser light source and the reticle to obtain a reference beam with exactly the same characteristics as the measurement beam, an optical path multiplier to reflect the reference beam multiple times, and a front CCD image sensor The angular drift of the light beam is monitored; the optical path multiplication device is composed of two plane mirrors placed relatively parallel.

光程倍增装置还包括一个位于参考光束路径上的附加平面反射镜。The optical path multiplier also includes an additional flat mirror located in the path of the reference beam.

光程倍增装置由两个相对放置的直角棱镜组成。The optical path multiplier is composed of two right-angle prisms placed opposite to each other.

光程倍增装置由两个相对放置的直角棱镜和一个位于参考光束路径上的附加平面反射镜组成。。The optical path multiplier consists of two opposite rectangular prisms and an additional flat mirror located on the path of the reference beam. .

光程倍增装置由多个成对平行放置的平面反射镜组成。The optical path multiplication device is composed of a plurality of plane mirrors placed in parallel in pairs.

光程倍增装置由多个成对平行放置的平面反射镜和一个位于参考光束路径上的附加平面反射镜组成。The optical path multiplier is composed of several pairs of plane mirrors placed in parallel and an additional plane mirror located on the path of the reference beam.

本发明还提供了基于光程倍增补偿方法的二维光电自准直装置的测量方法,该测量方法包括以下步骤:The present invention also provides a measurement method of a two-dimensional photoelectric self-collimation device based on an optical path multiplication compensation method, the measurement method comprising the following steps:

1.首先调整并固定光程倍增装置,然后校准二维光电自准直装置;1. First adjust and fix the optical path multiplication device, and then calibrate the two-dimensional photoelectric self-collimation device;

2.使激光光源发出的激光光束经前置分光镜后分为两束:透射光束成为测量光束,反射光束成为参考光束;2. The laser beam emitted by the laser light source is divided into two beams after passing through the pre-beam splitter: the transmitted beam becomes the measuring beam, and the reflected beam becomes the reference beam;

3.参考光束入射进入光程倍增装置后,经过多次反射后被前置CCD图像传感器接收,成为参考信号;3. After the reference beam enters the optical path multiplication device, it is received by the front CCD image sensor after multiple reflections and becomes a reference signal;

4.测量光束获取测量反射镜的二维小角度的变化量后,由主CCD图像传感器接收,成为测量信号;4. After the measurement beam acquires the variation of the two-dimensional small angle of the measurement mirror, it is received by the main CCD image sensor and becomes a measurement signal;

5.参考信号监测并分离出光束的角漂移量,进行实时差动处理即可动态补偿该角漂移量引起的角度测量误差,精确测出测量反射镜的二维小角度的变化量:5. The reference signal monitors and separates the angle drift of the beam, and real-time differential processing can dynamically compensate the angle measurement error caused by the angle drift, and accurately measure the change of the two-dimensional small angle of the measuring mirror:

θθ == dd 11 22 ff -- arctanarctan (( dd 00 LL ))

这里:θ为测量反射镜的二维小角度的变化量,d1为测量信号在主CCD图像传感Here: θ is the variation of the two-dimensional small angle of the measuring mirror, d 1 is the measurement signal in the main CCD image sensor

器上形成的光斑中心位置的变化量,f为准直物镜的等效焦距,d0为参考信号在The amount of change in the central position of the spot formed on the detector, f is the equivalent focal length of the collimator objective lens, d 0 is the reference signal at

前置CCD图像传感器上形成的光斑中心位置的变化量,L为激光光束从激光光源The amount of change in the center position of the spot formed on the front CCD image sensor, L is the laser beam from the laser light source

到前置CCD图像传感器经过的总等效光程。The total equivalent optical distance to the front CCD image sensor.

本发明具有以下特点和良好效果:The present invention has following characteristics and good effect:

1.采用新颖的光程倍增装置改进光学系统,通过前置分光镜获取与测量光束特性完全相同的参考光束,经过光程倍增装置多次反射后,延长参考光束的光程,放大与光束角漂移对应的线位移量,易于后续CCD图像传感器的接收和监测,这是区别于现有光电自准直测量技术的创新点之一;1. A novel optical path multiplication device is used to improve the optical system, and the reference beam with the same characteristics as the measurement beam is obtained through the pre-beam splitter. After multiple reflections by the optical path multiplication device, the optical path of the reference beam is extended, and the beam angle is magnified. The linear displacement corresponding to the drift is easy to receive and monitor the subsequent CCD image sensor, which is one of the innovations different from the existing photoelectric self-collimation measurement technology;

2.在设计中,光束的角漂移量引起参考信号和测量信号同时变化,利用两个CCD图像传感器分别获取光束的角漂移量和测量反射镜的二维角度变化量,可以实时分离和动态补偿光束的角漂移量引起的角度测量误差,这是区别于现有光电自准直测量技术的创新点之二;2. In the design, the angular drift of the beam causes the reference signal and the measurement signal to change at the same time. Two CCD image sensors are used to obtain the angular drift of the beam and the two-dimensional angle change of the measuring mirror respectively, which can be separated and dynamically compensated in real time. The angle measurement error caused by the angular drift of the beam is the second innovation point different from the existing photoelectric self-collimation measurement technology;

3.采用光程倍增光学结构,在放大与光束角漂移对应的线位移量的同时实现了仪器体积的小型化,易于设计为便携式装置,这是区别于现有光电自准直测量技术的创新点之三;3. The optical path multiplication optical structure is adopted, which realizes the miniaturization of the instrument volume while amplifying the linear displacement corresponding to the beam angle drift, and is easy to design as a portable device. This is an innovation different from the existing photoelectric self-collimation measurement technology point three;

4.本设计方案采用了十分简单的结构,在光路中加入光程倍增装置,即可动态补偿光束的角漂移量引起的角度测量误差,提高了二维光电自准直仪的测量稳定性,满足了高精度二维小角度测量的需要,测量过程和数据处理都明显简化,实用性强。4. This design scheme adopts a very simple structure. Adding an optical path multiplication device in the optical path can dynamically compensate the angle measurement error caused by the angular drift of the beam, and improve the measurement stability of the two-dimensional photoelectric autocollimator. It meets the needs of high-precision two-dimensional small-angle measurement, the measurement process and data processing are obviously simplified, and the practicability is strong.

附图说明Description of drawings

图1是本发明装置的结构示意图;Fig. 1 is the structural representation of device of the present invention;

图2是本发明装置中由相对平行放置的两个平面反射镜和一个位于参考光束路径上的附加平面反射镜组成的光程倍增装置的结构示意图;Fig. 2 is the structural representation of the optical path multiplication device that is made up of two plane mirrors placed relatively parallel and an additional plane mirror positioned on the reference beam path in the device of the present invention;

图3a是本发明装置中由两个相对放置的直角棱镜组成的光程倍增装置的结构示意图;Fig. 3 a is the structural representation of the optical path multiplication device that is made up of two oppositely placed rectangular prisms in the device of the present invention;

图3b是本发明装置中由两个相对放置的直角棱镜以及一个位于参考光束路径上的附加平面反射镜组成的光程倍增装置的结构示意图;Fig. 3 b is the structural representation of the optical path multiplication device that is made up of two rectangular prisms placed oppositely and an additional plane reflector positioned on the reference beam path in the device of the present invention;

图4a是本发明装置中由多个成对平行放置的平面反射镜组成的光程倍增装置的结构示意图;Fig. 4 a is the structural representation of the optical path multiplication device that is made up of a plurality of plane mirrors placed in parallel in the device of the present invention;

图4b是本发明装置中由多个成对平行放置的平面反射镜和一个位于参考光束路径上的附加平面反射镜组成的光程倍增装置的结构示意图;Fig. 4b is a structural schematic diagram of an optical path multiplication device composed of a plurality of parallel plane reflectors in pairs and an additional plane reflector positioned on the reference beam path in the device of the present invention;

图5是本发明装置中采用光程倍增装置放大与光束角漂移对应的线位移量的示意图。Fig. 5 is a schematic diagram of the optical path multiplication device used in the device of the present invention to amplify the linear displacement corresponding to the drift of the beam angle.

具体实施方式Detailed ways

下面结合附图对本发明的基于光程倍增补偿方法的二维光电自准直装置和测量方法进行详细描述:The two-dimensional photoelectric self-collimation device and measurement method based on the optical path multiplication compensation method of the present invention are described in detail below in conjunction with the accompanying drawings:

如图1所示,本发明的装置由激光光源1、前置分光镜2、分划板3、主分光镜4、主CCD图像传感器5、准直物镜6、测量反射镜7、前置CCD图像传感器8和由平面反射镜10和平面反射镜11组成的光程倍增装置9等构成。其光的路径如下:As shown in Figure 1, the device of the present invention consists of a laser light source 1, a front beam splitter 2, a reticle 3, a main beam splitter 4, a main CCD image sensor 5, a collimating objective lens 6, a measuring mirror 7, and a front CCD The image sensor 8 and the optical path multiplication device 9 composed of the plane mirror 10 and the plane mirror 11 are constituted. The path of its light is as follows:

激光光源1发出的光束经前置分光镜2后分为两束:透射光束成为测量光束,反射光束成为与测量光束特性完全相同的参考光束。参考光束入射进入光程倍增装置9后,经过平面反射镜10和平面反射镜11的多次反射后,延长参考光束的光程,放大与光束角漂移对应的线位移量,被前置CCD图像传感器8接收,成为参考信号;测量光束照亮位于准直物镜6的焦点上的分划板3,经过主分光镜4透射,准直物镜6会聚后,入射到放置在被测物上的测量反射镜7,测量反射镜7反射回来的光束再由准直物镜6会聚,经过主分光镜4反射后成像于主CCD图像传感器5上,成为测量信号,光束的角漂移量引起参考信号和测量信号同时变化,结合几何光学和光学的自准直原理,参考信号监测并分离出光束的角漂移量,进行二维实时差动处理即可动态补偿该角漂移量引起的角度测量误差,精确测出测量反射镜7的二维小角度的变化量:The beam emitted by the laser light source 1 is divided into two beams by the pre-beam splitter 2: the transmitted beam becomes the measuring beam, and the reflected beam becomes the reference beam with the same characteristics as the measuring beam. After the reference beam is incident into the optical path multiplication device 9, after multiple reflections by the plane mirror 10 and the plane mirror 11, the optical path of the reference beam is extended, and the linear displacement corresponding to the beam angle drift is amplified, which is pre-imaged by the CCD The sensor 8 receives it and becomes a reference signal; the measuring beam illuminates the reticle 3 located at the focus of the collimating objective lens 6, transmits through the main beam splitter 4, and after the collimating objective lens 6 converges, it is incident on the measurement placed on the measured object. Mirror 7, the light beam reflected by the measuring mirror 7 is converged by the collimating objective lens 6, reflected by the main beam splitter 4, and then imaged on the main CCD image sensor 5 to become a measurement signal, and the angular drift of the beam causes the reference signal and measurement The signal changes at the same time, combined with the principle of geometric optics and optical self-collimation, the reference signal monitors and separates the angle drift of the beam, and performs two-dimensional real-time differential processing to dynamically compensate the angle measurement error caused by the angle drift, and accurately measure The amount of variation of the two-dimensional small angle of the measuring reflector 7 is obtained:

θθ == dd 11 22 ff -- arctanarctan (( dd 00 LL ))

这里:θ为测量反射镜7的二维小角度的变化量,d1为测量信号在主CCD图像传感器5上形成的光斑中心位置的变化量,f为准直物镜6的等效焦距,d0为参考信号在前置CCD图像传感器8上形成的光斑中心位置的变化量,L为激光光束从激光光源1到前置CCD图像传感器8经过的总等效光程。Here: θ is the variation of the two-dimensional small angle of measuring reflector 7, d is the variation of the light spot center position that measurement signal forms on main CCD image sensor 5, f is the equivalent focal length of collimating objective lens 6, d 0 is the amount of change in the spot center position formed by the reference signal on the front CCD image sensor 8, and L is the total equivalent optical path that the laser beam passes from the laser light source 1 to the front CCD image sensor 8.

本发明通过在二维光电自准直仪的激光光源1和分划板3之间放置前置分光镜2,利用两个平面反射镜10和11组成的光程倍增装置9改进二维光电自准直仪的光学结构。对激光光源1发出的光束经前置分光镜2分束后,获取到与测量光束特性完全相同的参考光束,光程倍增装置对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,由前置CCD图像传感器8接收并进行动态监测,采用误差分离和动态补偿技术对该角漂移量引起的角度测量误差进行消除和抑制。The present invention improves the two-dimensional photoelectric autocollimator by placing a pre-beam splitter 2 between the laser light source 1 and the reticle 3 of the two-dimensional photoelectric autocollimator, and utilizing an optical path multiplication device 9 composed of two plane mirrors 10 and 11. The optical structure of the collimator. After the light beam emitted by the laser light source 1 is split by the pre-beam splitter 2, a reference beam with exactly the same characteristics as the measurement beam is obtained. The linear displacement corresponding to the beam angle drift is received by the front CCD image sensor 8 and dynamically monitored, and the angle measurement error caused by the angular drift is eliminated and suppressed by using error separation and dynamic compensation technology.

参见图2,本发明装置中的光程倍增装置9由两个相对平行放置的平面反射镜10和11以及一附加平面反射镜12组成。附加平面反射镜12设置在参考光束的路径上。这样,使光路沿着水平方向多次反射,比较容易调节。Referring to FIG. 2 , the optical path multiplication device 9 in the device of the present invention is composed of two relatively parallel plane mirrors 10 and 11 and an additional plane mirror 12 . An additional flat mirror 12 is arranged in the path of the reference beam. In this way, the optical path is reflected multiple times along the horizontal direction, which is relatively easy to adjust.

参见图3a,本发明装置中的光程倍增装置9由两个相对放置的直角棱镜13和14组成。Referring to FIG. 3 a , the optical path multiplication device 9 in the device of the present invention is composed of two rectangular prisms 13 and 14 placed opposite to each other.

参见图3b,本发明装置中的光程倍增装置9由两个相对放置的直角棱镜13和14以及一个位于参考光束路径上的附加平面反射镜12组成。Referring to Fig. 3b, the optical path multiplication device 9 in the device of the present invention is composed of two opposite rectangular prisms 13 and 14 and an additional plane mirror 12 located on the path of the reference beam.

参见图4a,本发明装置中的光程倍增装置9由多个成对平行放置的平面反射镜15、16,17、18,19、20,21和22组成。Referring to FIG. 4 a , the optical path multiplication device 9 in the device of the present invention is composed of a plurality of plane mirrors 15 , 16 , 17 , 18 , 19 , 20 , 21 and 22 placed in parallel in pairs.

参见图4b,本发明装置中的光程倍增装置9由多个成对平行放置的平面反射镜15、16,17、18,19、20,21和22以及一个位于参考光束路径上的附加平面反射镜12组成。Referring to Fig. 4 b, the optical path multiplication device 9 in the device of the present invention consists of a plurality of plane reflectors 15, 16, 17, 18, 19, 20, 21 and 22 placed in parallel in pairs and an additional plane positioned on the reference beam path mirror 12.

下面详细说明本发明所述的方法:The method described in the present invention is described in detail below:

本发明还提供了基于光程倍增补偿方法的二维光电自准直装置的测量方法,该测量方法包括以下步骤:The present invention also provides a measurement method of a two-dimensional photoelectric self-collimation device based on an optical path multiplication compensation method, the measurement method comprising the following steps:

1.首先需要确定器件之间的间距和光束在器件之间的反射次数,得出总等效光程L,并根据总等效光程L的数值对光程倍增装置9进行调整,实现激光光束的多次反射以增大光程,放大与光束角漂移对应的线位移量,调整完毕后光程倍增装置9应当固定,然后对二维光电自准直装置进行校准,校准完毕后使用过程中光程倍增装置9不再调整;1. First of all, it is necessary to determine the distance between devices and the number of reflections of light beams between devices to obtain the total equivalent optical path L, and adjust the optical path multiplication device 9 according to the value of the total equivalent optical path L to realize laser Multiple reflections of the beam to increase the optical path and enlarge the linear displacement corresponding to the drift of the beam angle. After the adjustment, the optical path multiplying device 9 should be fixed, and then the two-dimensional photoelectric self-collimation device should be calibrated. After the calibration is completed, the use process The middle optical path multiplying device 9 is no longer adjusted;

2.进行测量时,激光光源1发出的激光光束经前置分光镜2后分为两束:透射光束成为测量光束,反射光束成为与测量光束特性完全相同的参考光束;2. When measuring, the laser beam emitted by the laser light source 1 is divided into two beams by the pre-beam splitter 2: the transmitted beam becomes the measuring beam, and the reflected beam becomes the reference beam with exactly the same characteristics as the measuring beam;

3.参考光束入射进入光程倍增装置9后,经过多次反射后,延长参考光束的光程,放大与光束角漂移对应的线位移量,被前置CCD图像传感器8接收,成为参考信号,在前置CCD图像传感器8上形成的光斑中心位置为d03. After the reference beam enters the optical path multiplication device 9, after multiple reflections, the optical path of the reference beam is extended, and the linear displacement corresponding to the drift of the beam angle is amplified, which is received by the front CCD image sensor 8 and becomes a reference signal. The central position of the light spot formed on the front CCD image sensor 8 is d 0 ;

4.测量光束照亮位于准直物镜6的焦点上的分划板,经过主分光镜4透射,准直物镜6会聚后,入射到放置在被测物上的测量反射镜7,测量反射镜7反射回来的光束再由准直物镜6会聚,经过主分光镜4反射后成像于主CCD图像传感器5上,成为测量信号,在主CCD图像传感器5上形成的光斑中心位置为d14. The measuring beam illuminates the reticle located at the focal point of the collimating objective lens 6, transmits through the main beam splitter 4, and after the collimating objective lens 6 converges, it is incident on the measuring mirror 7 placed on the measured object, and the measuring mirror 7. The light beam reflected back is converged by the collimating objective lens 6 again, and is imaged on the main CCD image sensor 5 after being reflected by the main beam splitter 4, and becomes a measurement signal, and the spot center position formed on the main CCD image sensor 5 is d1 ;

5.光束的角漂移量Δθ0将会引起测量结果的漂移,由测量信号计算得出的测量结果中包含了测量反射镜7的二维小角度变化量θ和光束的角漂移量Δθ0,但是由于本测量方案采用了光程倍增装置放大与光束角漂移对应的线位移量Δθ0,采用前置CCD图像传感器8接收,可以有效的监测并分离出光束的角漂移量Δθ0,如图5所示,由几何关系可求得:5. The angular drift Δθ 0 of the beam will cause the drift of the measurement result. The measurement result calculated from the measurement signal includes the two-dimensional small angular variation θ of the measuring mirror 7 and the angular drift Δθ 0 of the beam. However, since this measurement scheme uses an optical path multiplier to amplify the linear displacement Δθ 0 corresponding to the angular drift of the beam, and uses the front CCD image sensor 8 to receive it, the angular drift Δθ 0 of the beam can be effectively monitored and separated, as shown in the figure As shown in 5, it can be obtained from the geometric relationship:

ΔΔ θθ 00 == arctanarctan (( dd 00 LL ))

这里:d0为参考信号在前置CCD图像传感器8上形成的光斑中心位置的变化量,L为激光光束从激光光源1到前置CCD图像传感器8经过的总等效光程。结合几何光学和光学的自准直原理,进行实时差动处理即可动态补偿该角漂移量引起的角度测量误差,精确测出测量反射镜7的二维小角度的变化量:Here: d 0 is the amount of change in the spot center position formed by the reference signal on the front CCD image sensor 8, and L is the total equivalent optical path that the laser beam passes from the laser light source 1 to the front CCD image sensor 8. Combining the principle of geometric optics and optical self-collimation, real-time differential processing can dynamically compensate the angle measurement error caused by the angle drift, and accurately measure the change of the two-dimensional small angle of the measuring mirror 7:

θθ == dd 11 22 ff -- arctanarctan (( dd 00 LL ))

这里:θ为测量反射镜7的二维小角度的变化量,d1为测量信号在主CCD图像传感器5上形成的光斑中心位置的变化量,f为准直物镜6的等效焦距,d0为参考信号在前置CCD图像传感器8上形成的光斑中心位置的变化量,L为激光光束从激光光源1到前置CCD图像传感器8经过的总等效光程。Here: θ is the variation of the two-dimensional small angle of measuring reflector 7, d is the variation of the light spot center position that measurement signal forms on main CCD image sensor 5, f is the equivalent focal length of collimating objective lens 6, d 0 is the amount of change in the spot center position formed by the reference signal on the front CCD image sensor 8, and L is the total equivalent optical path that the laser beam passes from the laser light source 1 to the front CCD image sensor 8.

可见,在测量结果中,对参考信号和测量信号进行实时差动处理,即可分离并动态补偿光束的角漂移量引起的角度测量误差,对测量结果没有影响。提高了二维光电自准直仪的测量稳定性和测量不确定度,从而该测量方案实现了高精度的二维小角度测量。It can be seen that in the measurement results, the real-time differential processing of the reference signal and the measurement signal can separate and dynamically compensate the angle measurement error caused by the angular drift of the beam, without affecting the measurement results. The measurement stability and measurement uncertainty of the two-dimensional photoelectric autocollimator are improved, so that the measurement scheme realizes high-precision two-dimensional small-angle measurement.

实施例1:Example 1:

如图1所示的二维光电自准直装置,首先调整好光程倍增装置9,这里,光程倍增装置9如图1所示,由两个相对平行放置的平面反射镜10和11组成,调整完毕后光程倍增装置9应当固定,然后对二维光电自准直装置进行校准,校准完毕后使用过程中光程倍增装置9不再调整。进行测量时,激光光源1发出的激光光束经前置分光镜2后分为两束:透射光束成为测量光束,反射光束成为与测量光束特性完全相同的参考光束;参考光束入射进入光程倍增装置9后,光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,被前置CCD图像传感器8接收,成为参考信号;测量光束照亮位于准直物镜6的焦点上的分划板,经过主分光镜4透射,准直物镜6会聚后,入射到放置在被测物上的测量反射镜7,测量反射镜7反射回来的光束再由准直物镜6会聚,经过主分光镜4反射后成像于主CCD图像传感器5上,成为测量信号;测量信号计算得出的测量结果中包含了测量反射镜7的二维小角度变化量θ和光束的角漂移量Δθ0,参考信号监测并分离出光束的角漂移量Δθ0,结合几何光学和光学的自准直原理,进行实时差动处理即可动态补偿该角漂移量引起的角度测量误差,精确测出测量反射镜7的二维小角度的变化量:For the two-dimensional photoelectric self-collimation device shown in Figure 1, the optical path multiplication device 9 is first adjusted, and here, the optical path multiplication device 9, as shown in Figure 1, is composed of two relatively parallel plane mirrors 10 and 11 After the adjustment, the optical path multiplication device 9 should be fixed, and then the two-dimensional photoelectric self-collimation device should be calibrated. After the calibration, the optical path multiplication device 9 will not be adjusted during use. When measuring, the laser beam emitted by the laser light source 1 is divided into two beams by the pre-beam splitter 2: the transmitted beam becomes the measuring beam, and the reflected beam becomes the reference beam with exactly the same characteristics as the measuring beam; the reference beam enters the optical path multiplication device After 9, the optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift, which is received by the front CCD image sensor 8 and becomes a reference signal; The reticle located at the focal point of the collimating objective lens 6 is transmitted through the main beam splitter 4, and after being converged by the collimating objective lens 6, it is incident on the measuring mirror 7 placed on the measured object, and the light beam reflected by the measuring mirror 7 Convergence by the collimating objective lens 6, image on the main CCD image sensor 5 after being reflected by the main beam splitter 4, and become a measurement signal; the measurement result calculated by the measurement signal includes the two-dimensional small angle variation of the measurement mirror 7 θ and the angular drift of the beam Δθ 0 , the reference signal monitors and separates the angular drift Δθ 0 of the beam, combined with the principle of geometric optics and optical self-collimation, real-time differential processing can dynamically compensate the angular drift caused by the Angle measurement error, accurately measure the variation of the two-dimensional small angle of the measuring reflector 7:

θθ == dd 11 22 ff -- arctanarctan (( dd 00 LL ))

这里:θ为测量反射镜7的二维小角度的变化量,d1为测量信号在主CCD图像传感器5上形成的光斑中心位置的变化量,f为准直物镜6的等效焦距,d0为参考信号在前置CCD图像传感器8上形成的光斑中心位置的变化量,L为激光光束从激光光源1到前置CCD图像传感器8经过的总等效光程。Here: θ is the variation of the two-dimensional small angle of measuring reflector 7, d is the variation of the light spot center position that measurement signal forms on main CCD image sensor 5, f is the equivalent focal length of collimating objective lens 6, d 0 is the amount of change in the spot center position formed by the reference signal on the front CCD image sensor 8, and L is the total equivalent optical path that the laser beam passes from the laser light source 1 to the front CCD image sensor 8.

本实施例中,光程倍增装置9由两个相对平行放置的平面反射镜10和11组成,两个平面反射镜10和11均由长为:a=50mm,宽为:b=10mm,厚度为:d=5mm的平晶的表面精细研磨之后镀高反射膜构成,平晶表面粗糙度优于0.08um,高反射膜反射率系数:R≥99%@632.8nm,两个平面反射镜10和11之间的间距为:D=40mm,激光光源发出的激光光束出瞳直径为Φ5mm,在两个平面反射镜10和11之间反射N=8次后到达前置CCD图像传感器8,激光光束从激光光源1到前置CCD图像传感器8所经过的总等效光程为L=400mm,实验结果表明,该二维光电自准直装置在测量分辨力达到0.01″的情况下,测量稳定性优于0.05″/h,测量不确定度优于0.05″,实现了高精度二维小角度测量。In the present embodiment, the optical path multiplication device 9 is made up of two relatively parallel plane reflectors 10 and 11, and the two plane reflectors 10 and 11 are all made up of length: a=50mm, width: b=10mm, thickness It is: the surface of the flat crystal with d=5mm is finely ground and then coated with a high-reflection film. The surface roughness of the flat crystal is better than 0.08um. The reflectivity coefficient of the high-reflection film: R≥99%@632.8nm, two flat mirrors 10 The distance between and 11 is: D=40mm, the exit pupil diameter of the laser beam emitted by the laser light source is Φ5mm, after reflecting N=8 times between the two plane reflectors 10 and 11, it reaches the front CCD image sensor 8, and the laser beam The total equivalent optical path of the light beam from the laser light source 1 to the front CCD image sensor 8 is L=400mm. The experimental results show that the two-dimensional photoelectric self-collimation device can measure stably when the measurement resolution reaches 0.01″ The accuracy is better than 0.05″/h, and the measurement uncertainty is better than 0.05″, realizing high-precision two-dimensional small-angle measurement.

实施例2:Example 2:

如图1所示的二维光电自准直装置,这里,光程倍增装置9由如图2所示的两个相对平行放置的平面反射镜10和11以及一个位于参考光束路径上的附加平面反射镜12组成。光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,本实施例的其他部件及工作原理均与实施例1相同。Two-dimensional photoelectric self-collimation device as shown in Figure 1, here, the optical path multiplication device 9 is made of two relatively parallel plane reflectors 10 and 11 as shown in Figure 2 and an additional plane positioned on the reference beam path mirror 12. The optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift. Other components and working principles of this embodiment are the same as those of Embodiment 1.

实施例3:Example 3:

如图1所示的二维光电自准直装置,这里,光程倍增装置9由如图3a所示的相对放置的两个直角棱镜13和14组成。光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,本实施例的其他部件及工作原理均与实施例1相同。The two-dimensional photoelectric self-collimation device shown in FIG. 1, here, the optical path multiplication device 9 is composed of two rectangular prisms 13 and 14 placed opposite each other as shown in FIG. 3a. The optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift. Other components and working principles of this embodiment are the same as those of Embodiment 1.

实施例4:Example 4:

如图1所示的二维光电自准直装置,这里,光程倍增装置9由如图3b所示的相对放置的两个直角棱镜13和14以及一个位于参考光束路径上的附加平面反射镜12组成。光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,本实施例的其他部件及工作原理均与实施例1相同。Two-dimensional photoelectric self-collimation device as shown in Figure 1, here, the optical path multiplication device 9 is composed of two rectangular prisms 13 and 14 placed oppositely as shown in Figure 3 b and an additional plane reflector positioned on the reference beam path 12 compositions. The optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift. Other components and working principles of this embodiment are the same as those of Embodiment 1.

实施例5:Example 5:

如图1所示的二维光电自准直装置,这里,光程倍增装置9由如图4a所示的多个成对平行放置的平面反射镜15、16,17、18,19、20,21和22组成。光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,本实施例的其他部件及工作原理均与实施例1相同。Two-dimensional photoelectric self-collimation device as shown in Figure 1, here, the optical path multiplication device 9 is made of a plurality of plane reflectors 15,16,17,18,19,20 placed in parallel in pairs as shown in Figure 4a, Composed of 21 and 22. The optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift. Other components and working principles of this embodiment are the same as those of Embodiment 1.

实施例6:Embodiment 6:

如图1所示的二维光电自准直装置,这里,光程倍增装置9由如图4b所示的多个成对平行放置的平面反射镜15、16,17、18,19、20,21和22以及一个位于参考光束路径上的附加平面反射镜12组成。光程倍增装置9对参考光束进行多次反射,延长参考光束的光程,放大与光束角漂移对应的线位移量,本实施例的其他部件及工作原理均与实施例1相同。Two-dimensional photoelectric self-collimation device as shown in Figure 1, here, the optical path multiplication device 9 is made of a plurality of plane reflectors 15,16,17,18,19,20 placed in parallel in pairs as shown in Figure 4b, 21 and 22 and an additional flat mirror 12 located in the path of the reference beam. The optical path multiplying device 9 reflects the reference beam multiple times, prolongs the optical path of the reference beam, and amplifies the linear displacement corresponding to the beam angle drift. Other components and working principles of this embodiment are the same as those of Embodiment 1.

Claims (7)

1.一种基于光程倍增补偿方法的二维光电自准直装置,包括依次放置的激光光源、分划板、主分光镜、主CCD图像传感器、准直物镜、测量反射镜,其特征在于激光光源和分划板之间放置一前置分光镜,获取与测量光束特性完全相同的参考光束,一光程倍增装置对参考光束进行多次反射,一前置CCD图像传感器对光束的角漂移量进行监测;所说的光程倍增装置由相对平行放置的两个平面反射镜组成。1. A two-dimensional photoelectric self-collimation device based on the optical path multiplication compensation method, comprising a laser light source, a reticle, a main beam splitter, a main CCD image sensor, a collimating objective lens, and a measuring mirror placed in sequence, characterized in that A pre-beam splitter is placed between the laser light source and the reticle to obtain a reference beam with exactly the same characteristics as the measurement beam, an optical path multiplier device performs multiple reflections on the reference beam, and a front-end CCD image sensor monitors the angular drift of the beam The amount is monitored; the optical path multiplication device is composed of two plane mirrors placed relatively parallel. 2.根据权力要求1所述的装置,其特征在于所说的光程倍增装置还包括一个位于参考光束路径上的附加平面反射镜。2. The device according to claim 1, characterized in that said optical path multiplication device further comprises an additional plane mirror located on the path of the reference beam. 3.根据权力要求1所述的装置,其特征在于所说的光程倍增装置由两个相对放置的直角棱镜组成。3. The device according to claim 1, characterized in that said optical path multiplication device is composed of two opposite right-angle prisms. 4.根据权力要求3所述的装置,其特征在于所说的光程倍增装置还包括一个位于参考光束路径上的附加平面反射镜。4. The device according to claim 3, characterized in that said optical path multiplication device further comprises an additional plane mirror located on the path of the reference beam. 5.根据权力要求1所述的装置,其特征在于所说的光程倍增装置由多个成对平行放置的平面反射镜组成。5. The device according to claim 1, characterized in that said optical path multiplication device is composed of a plurality of plane mirrors placed in parallel in pairs. 6.根据权力要求5所述的装置,其特征在于所说的光程倍增装置还包括一个位于参考光束路径上的附加平面反射镜。6. The device according to claim 5, characterized in that said optical path multiplication device further comprises an additional plane mirror located on the path of the reference beam. 7.一种基于光程倍增补偿方法的二维光电自准直装置的测量方法,其特征在于所说的测量方法包括以下步骤:7. A measurement method based on a two-dimensional photoelectric self-collimation device of the optical path multiplication compensation method, characterized in that said measurement method comprises the following steps: (1).首先调整并固定光程倍增装置,然后校准二维光电自准直装置;(1). First adjust and fix the optical path multiplication device, and then calibrate the two-dimensional photoelectric self-collimation device; (2).使激光光源发出的激光光束经前置分光镜后分为透射光束和反射光束:透射光束成为测量光束,反射光束成为参考光束;(2). The laser beam emitted by the laser light source is divided into a transmitted beam and a reflected beam by the pre-beam splitter: the transmitted beam becomes the measuring beam, and the reflected beam becomes the reference beam; (3).参考光束入射进入光程倍增装置后,经过多次反射后被前置CCD图像传感器接收,成为参考信号;(3). After the reference beam enters the optical path multiplication device, it is received by the front CCD image sensor after multiple reflections and becomes a reference signal; (4).测量光束获取测量反射镜的二维小角度的变化量后,由主CCD图像传感器接收,成为测量信号;(4). After the measurement beam acquires the variation of the two-dimensional small angle of the measurement mirror, it is received by the main CCD image sensor and becomes a measurement signal; (5).参考信号监测并分离出光束的角漂移量,进行实时差动处理即可动态补偿该角漂移量引起的角度测量误差,精确测出测量反射镜的二维小角度的变化量:(5). The reference signal monitors and separates the angle drift of the beam, and real-time differential processing can dynamically compensate the angle measurement error caused by the angle drift, and accurately measure the change of the two-dimensional small angle of the measuring mirror: θθ == dd 11 22 ff -- arctanarctan (( dd 00 LL )) 这里:θ为测量反射镜的二维小角度的变化量,d1为测量信号在主CCD图像传感器上形成的光斑中心位置的变化量,f为准直物镜的等效焦距,d0为参考信号在前置CCD图像传感器上形成的光斑中心位置的变化量,上为激光光束从激光光源到前置CCD图像传感器经过的总等效光程。Here: θ is the variation of the two-dimensional small angle of the measuring mirror, d 1 is the variation of the spot center position formed by the measurement signal on the main CCD image sensor, f is the equivalent focal length of the collimating objective lens, and d 0 is the reference The amount of change in the center position of the light spot formed by the signal on the front CCD image sensor is the total equivalent optical path of the laser beam from the laser light source to the front CCD image sensor.
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