横向剪切干涉中剪切量的选取及分析

横向剪切干涉技术是一种直接测量波面相位分布的光学测量方法,由于其不需要高精度的参考平面,并且能够测量偏离量较大的表面面形偏差,因此得到了更为广泛的应用。但是,通常情况下剪切量大小的选择凭工作经验来确定。为了给出一种定量的剪切量判定方法,论文提出了一种基于Zernike多项式拟合的剪切量判定方法,通过计算机仿真和实验给出了剪切量与测量误差的关系,发现剪切量为测量口径1/10时即可达到良好的测量结果。     

Multi-directional lateral shearing interferometer based on rotatable prism pairs

The common camera lens usually includes the spherical glass/plastic lens and aspheric glass/plastic lens. However, spherical/aspheric shape measurement is still a key problem in the process of optical lens fabrication. At present, the in-process measurement of spherical/aspheric shape is conducted mainly by the probe-contacting method. But after a long time, its probe could be scratched severely and cause some big errors. Laser shearing interferometry is a good substitute to some degree. Nevertheless, it is not convenient for general shearing interferometer to carry out the in-process measurement because it is only suitable for certain kind of spherical/aspheric with respect to aperture or asperity. Here a new lateral shearing interferometer is proposed to solve the described problems. It is based on two Jamin plates and rotatable prism pairs which are used not only for shearing displacement and direction, but also for fringe period and tilt degree, in order to meet requirements of various spherical/aspheric shapes or asperities. The new interferometer features a simple optical structure and two symmetric light paths, which makes its system with minimal error. The relation between shearing displacement, fringe period and prism angle of rotation is given in this paper. And the error source is primarily from the manufacture errors of prisms and plates. The final experiments show that one can achieve good-quality fringe patterns according to the requirement of measurement, concerning the shearing direction, shearing displacement, fringe period, tilt degree, etc.     

Focal plane wave-front sensing algorithm for high-contrast imaging

High-contrast imaging provided by a coronagraph is critical for the direction imaging of the Earth-like planet orbiting its bright parent star. A major limitation for such direct imaging is the speckle noise that is induced from the wave-front error of an optical system. We derive an algorithm for the wave-front measurement directly from 3 focal plane images. The 3 images are achieved through a deformable mirror to provide specific phases for the optics system. We introduce an extra amplitude modulation on one deformable mirror configuration to create an uncorrelated wave-front, which is a critical procedure for wave-front sensing. The simulation shows that the reconstructed wave-front is consistent with the original wave-front theoretically, which indicates that such an algorithm is a promising technique for the wave-front measurement for the high-contrast imaging. Supported by the National Natural Science Foundation of China (Grant No. 10873024)     

红外目标仿真光学机构

论述了目标仿真机构的用途、仿真的光学原理以及实现原理的光学系统。对其中的两个光学问题的研究作了详细地论述 ,即干扰光路 2倍于目标光路的视场角以及如何由摆镜的摆动实现。由于析光镜与光轴成 45°角 ,使像点在子午方向被拉长约为弧矢方向的 10倍。为了减少子午像差 ,将两块析光镜作成略带楔角的楔形镜。结果表明 ,由于该机构的尾焰、尾喷管用的是同一条光路 ,所以使结构大为简化 ,这对降低转动惯量非常有利 ;由于有干扰弹仿真 ,使机构的功能得到了扩大     

马赫-曾德尔型相移矢量剪切干涉仪

为了实现对激光波面的等光程测试,设计了一个新颖的相移矢量剪切干涉仪。该干涉仪以马赫曾德尔结构为基础,为等光程干涉仪。通过在相干的两路光束中分别插入楔角方向正交放置的楔板实现矢量剪切;其中一块楔板分成两块(平板部分和楔板部分),楔板部分沿平板部分的表面移动,通过改变光程差来实现相移,2π相移所需的移动距离为几毫米的量级,该相移方法在相移精度控制上比较简单。文中还对楔板引入的横向剪切误差和相移误差进行了分析,最后给出了实验所得的一组相移干涉图。     

Phase shifting speckle shearing polarization interferometer using a birefringent wedge

A digital speckle pattern shearing interferometer is presented which utilizes a single birefringent wedge. Two orthogonally polarized images of an object measured are sheared by the wedge, and the bias phase difference between two polarized images is shifted by translating the wedge. The phase shifting technique applied to speckle pattern shearing interferometry makes it possible to analyze a slope and surface strain numerically. The fringe formation in the present interferometer is analyzed with statistical theory. Experimental results are also presented in two cases: (1) measurement of a slope and normal displacement with a single illumination; (2) simultaneous and separate measurement of a slope and surface strain with two symmetrical illuminations.     

A microprism array as shearing device for speckle shearing interferometry

In most speckle shearing interferometers image shearing is performed by means of a Michelson interferometer or by means of a wedge prism covering half of the aperture of the camera objective. We present a speckle shearing interferometer which utilizes a microprism array for this purpose. It is placed between the test specimen and the camera. In comparision with a wedge prism it exhibits some advantages: it needs no exact alignment, it works with any camera lens, the shearing distance and direction of shearing can be easily changed by changing position (resp. angular orientation) of the element. Phase stepping for computer evaluation of the speckle shearing interferograms is performed by the translation of the shearing element. A special translation stage was developed. Experimental results are presented. The interferometer is suited for microcomponent and microsystem testing.     

激光雷达系统快速准直的方法和光学装置

 研制了一种能够方便、快速调节激光雷达收发光路准直的光学装置,分析了装置楔角的选取要求、准直误差及其相应的矫正方法。该装置结构简单,主要由两个楔形光学平板组成,通过电机转动两个楔板可使出射光束方向在一定范围内任意改变,该调节范围由楔板的楔角和折射率决定。利用折射定律,严格推导了装置中两个楔形光学平板的旋转角度与出射光束方向之间的关系。提出了将该光学装置插入到激光雷达发射光路,采用螺旋式粗扫、圆形和径向细扫相结合的光束扫描方式实现对激光雷达准直的方法,并给出了系统准直调节过程中的判断准则和具体的准直步骤。     

Numerical simulation of two-dimensional granular shearing flows and the friction force of a moving slab on the granular media

This paper studies some interesting features of two-dimensional granular shearing flow by using molecular dynamic approach for a specific granular system.The obtained results show that the probability distribution function of velocities of particles is Gaussian at the central part,but diverts from Gaussian distribution nearby the wall.The macroscopic stress along the vertical direction has large fluctuation around a constant value,the non-zero average velocity occurs mainly near the moving wall,which forms a shearing zone.In the shearing movement,the volume of the granular material behaves in a random manner.The equivalent friction coefficient between moving slab and granular material correlates with the moving speed at low velocity,and approaches constant as the velocity is large enough.     

一种提高双CCD图像拼接精度的方法

利用一对光楔间距变化时,通过它的成像光束的像点会产生微小偏移这一特性,在双CCD图像拼接探测器中增加了光楔调整机构,该光楔调整机构包含两对光楔,一对光楔用于CCD水平方向的图像调整;另一对用于垂直方向的图像调整。通过设计、制作,光楔调整机构最终应用于双CCD图像拼接探测器的装调。装调过程显示:加装光楔调整机构对原有光学系统没有任何影响,可以实现精度高于0.001 mm的图像移动量,有效降低了双CCD图像拼接探测器的装调难度,提高了拼接图像质量,降低了生产成本。     

平行光管气流扰动的液晶自适应光学校正

利用液晶自适应光学技术,建立了一套验证系统.使用哈特曼传感器为波前探测器件,反射式的LCOS液晶器件为波前校正器件,以闭环控制校正方式工作.初步实现了波前PV值从1.02λ下降到0.37λ（λ＝633 nm）的校正准确度,成像质量明显提高.系统的调制传递函数由校正前的不到10 lp/mm提高到了校正后的超过50 lp/mm.     

Simultaneous dual directional strain measurement using spatial phase-shift digital shearography

This paper presents a Dual Directional Sheared Spatial Phase-Shift Digital Shearography (DDS-SPS-DS) system for simultaneous measurement of strains/displacement derivative in two directions. Two Michelson Interferometers are used as the shearing device to create two shearograms, one in the x-shearing direction and one in the y-shearing direction, which are recorded by a single CCD camera. Two lasers with different wavelengths are used for illumination, and corresponding band pass filters are applied in front of each Michelson Interferometer to avoid cross-interference between the two shearing direction channels. Two perpendicular shearing directions in the two measurement channels introduce two different spatial frequency carriers whose spectrums are orientated in different directions after Fourier Transform. Phase maps of the recorded two shearograms can be obtained by applying a windowed inverse Fourier transform, which enables simultaneous measurement of dual directional strains/displacement derivatives. The new system is well suited for nondestructive testing and strain measurement with a continuous or dynamic load. The capability of the dual directional spatial phase-shift digital shearography system is described by theoretical discussions as well as experiments.     

Optical heterodyne grating shearing interferometry for long-range positioning applications

We develop a displacement measurement and positioning system with nanometer resolution over the millimeter traveling range. The method is based on a heterodyne grating shearing interferometry, a homemade lock-in amplifier and a servo control loop for displacement sensing and positioning. The quasi-common optical path configuration of our system provides better immunity against environmental disturbances. The experimental results demonstrate that our system can measure small and long displacement with nanometric resolution. The device achieves a positioning resolution of 2.3 nm over a traveling range of 20 mm.     

基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法

横向剪切干涉术是一种自参考干涉计量技术,其原理是被检测波前与其自身被剪开的波前之间在重叠范围内相干涉,由干涉图得到两相互剪切波前的波前差,通过波面重建算法得到待测波面.在波面重建算法中,泽尼克待定系数法是其中的一种.分析了横向剪切干涉技术的测量原理;提出了一种新的基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法....     

基于Radon变换的横向剪切干涉图的自动检测技术

在分析测试原理的基础上,指出了现有方法的横向剪切量获得的不足,根据剪切图和Radon变换在边缘处具有突变的特点,提出了一种基于Radon变换的横向剪切干涉图的剪切量的自动检测方法,首先根据二维图像的Radon变换结果,得到剪切图的横向移动方向,对图形进行方向校正。然后利用干涉图形的特点对图形在X和Y方向上进行Radon变换,得到剪切量。利用MATLAB进行编程,实验结果表明该方法具有很好的性能和较高的实用价值。     

Virtual shearing interferometry by digital holography

A novel method of virtual shearing interferometry (VSI) is proposed. In this method, the shearogram is obtained by interference of a real object wave-front and a virtual object wave-front. The former is optically recorded and then digitally reconstructed; and the latter is introduced digitally by repositioning or reforming the former. The obvious advantages of VSI over conventional shearing interferometry (SI) are its versatility, accuracy, and simplicity. Only one real field is necessary to produce shearogram; there is no need of any real shearing device or even the phase unwrapping computation; and the digital shear can take any possible form according to different purposes. Both the optical experiments and computer simulations with lateral shearing, 180° rotational shearing and double lateral shearing for evaluation of lens aberrations in the general case including spherical aberration, coma, astigmatism, defocus, and tilts based on phase-shifting interferometry are given to verify the effectiveness of this method.     

Wave-front reconstruction from multidirectional phase derivatives generated by multilateral shearing interferometers

To increase the accuracy of wave-front evaluation, we propose to exploit the natural capability of multiple lateral shearing interferometers to measure simultaneously more than two orthogonal phase derivatives. We also describe a method, based on Fourier-transform analysis, that uses this multiple information to reconstruct the wave-front under study.     

Opus musicum

The rotation of the plane of linearly polarized light by an optically-active medium arises from a difference between the refractive indices of the medium for left- and right-circularly polarized light. The circular birefringence is related to a circular dichroism, which is exhibited by all molecules which are not superposable on their mirror image and exist as laevo- and dextro-rotatory isomers. The circular dichroism of a dissymmetric molecule in a particular absorption region originates from an electronic transition with collinear electric and magnetic dipole moments, corresponding to the displacement of a molecular valency electron through a helical path by the absorption of radiation. The right- or left-handed form of the helical path depends upon the molecular structure, and the absolute stereochemical configuration of dissymmetric molecules may be determined by comparing their circular dichroism spectra with the calculated rotational strengths. In addition the polarization direction of an electric moment and the magnitude of a magnetic moment of an electronic transition in a dissymmetric molecule may be derived from circular dichroism measurements.     

Interferometric tolerance determination for a Dove prism using exact ray trace

We use exact ray trace to calculate the interferometric Dove prism tolerance to manufacturing errors. We model the manufacturing errors by modifying the position of the prism vertices. The normal to the prism faces establishes the direction of the rays. We determine the prism tolerance by analyzing the optical traversed path rays. We evaluate the change in the image quality introduced by the normal deviation. When the manufacturing tolerance is maintained within ±0.35 arc sec, the maximum wave-front deviation is better than λ/10 at 633 nm. We found that a Dove prism with such tolerance introduces an OPD of two orders of magnitude lesser than a commercial Dove prism. The exact ray trace accuracy of the developed program is validated with the commercially available optical-design program OSLO™. The calculated tolerance complements a previous analysis of a Dove prism for its implementation in a rotationally shearing interferometer.