On-line phase measuring profilometry based on phase matching

On-line phase measuring profilometry based on phase matching is proposed. While just one fixed sinusoidal fringe is projected on a measured object moving with the pipeline, deformed patterns modulated by the object moving at the same distance moment are captured synchronously by the CCD camera. The phase information of the object in those captured deformed patterns can be predicted using FTP method to assist the pixel matching so as to realize the point-to-point correspondence of the object in the captured deformed patterns. Meanwhile, the equivalent phase-shifting deformed patterns can be extracted. So the three dimensional shape of the object can be reconstructed successfully with an equal phase-shifting algorithm. Numerical simulation and experiments show feasibility and validity of the proposed method.     

基于最小二乘法准则的光学综合孔径观测目标傅里叶信息提取

提出了基于最小二乘法准则提取光学综合孔径观测目标的傅里叶信息,给出了系统的理论推导过程.与其它传统条纹信息提取方法作了比较,指出基于最小二乘法准则提取观测目标信息周期短,速度快,可提取观测目标的傅里叶幅度和相位.实验仿真表明,基于最小二乘法准则提取观测目标信息是可行的.     

Single-shot and lensless complex-amplitude imaging with incoherent light based on machine learning

We present a single-shot incoherent light imaging method for simultaneously observing both amplitude and phase without any imaging optics, based on machine learning. In the proposed method, an object with a complex-amplitude field is illuminated with incoherent light and is captured by an image sensor with or without a coded aperture. The complex-amplitude field of the object is reconstructed from a single captured image using a state-of-the-art deep convolutional neural network, which is trained with a large number of input and output pairs. In experimental demonstrations, the proposed method was verified with a handwritten character database, and the effect of a coded aperture printed on an overhead projector film in the reconstruction was examined. Our method has advantages over conventional wavefront sensing techniques using incoherent light, namely simplification of the optical hardware and improved measurement speed. This study shows the importance and practical impact of machine learning techniques in various fields of optical sensing.     

光学综合孔径成像中的傅里叶相位研究

傅里叶相位是光学综合孔径成像的重要信息,观测目标的傅里叶相位包含于干涉条纹中。从像平面干涉条纹形成原理出发,推导出大气扰动、星光方向与基线方向不垂直和望远镜系统机械误差等因素是影响干涉条纹初始相位的主要因素。利用条纹原点值和峰值位移从条纹中提取初始相位,采用闭合相位法从条纹初始相位中去除其它因素的影响,从而最终获取目标傅里叶相位：结合计算机模拟对噪声给条纹峰值位置的影响进行分析,模拟结果表明在频域中对条纹能量谱进行阈值处理有较好的去噪效果。最后结合目标重构迭代法阐述了闭合相位在像重构中的作用。     

Enhancing the phase profile and contrast of an interferogram by polarization recording in bacteriorhodopsin

Interferometry is a technique for reconstructing the profiles of phase objects. We present a novel interferometric setup for generating interferograms with doubled phase profile and enhanced contrast compared with the standard interferogram. The proposed system consists of a two-beam interferometer in which the reference and test waves are circularly polarized orthogonally to each other. They are superposed upon a bacteriorhodopsin film, creating a polarization grating that is distorted by the phase of the test object. This polarization pattern is read by a polarized He-Ne beam. We show analytically and experimentally that, when the zero diffraction order is removed, an interferogram with doubled phase profile and enhanced contrast is obtained.     

Transmission incoherent ultrasonic imaging of planar objects

A method of obtaining an ultrasonic image of a planar object with spatial variable transparency is proposed on the basis of the results of measuring the amplitude of the ultrasonic wave during the transmission ultrasonic probing. The case is considered in which the wave diffraction strongly affects the amplitude of the field behind the object and the phase is not measured. Even in the absence of phase information, this method allows one to restore the transparency masks of the planar object. The proposed mathematical apparatus can be also used in radio wave probing. Numerical simulation and processing of the experimental data demonstrated the comparability of this method and the aperture synthesis method using the phase information.     

Profile measurement of a moving object using an improved projection grating phase-shifting profilometry

3-D profile measurement of a moving object using a novel phase-shifting technique is introduced. Digital gratings with two steps phase-shifting are projected periodically onto a measured object surface. The deformed fringe patterns are captured by a frame CCD camera within a short exposure time. By synchronizing the projector and the CCD camera accurately, there is an overlapping part which is the same part of the object among three neighbouring frames. The length of an overlapping part can be controlled as one third of a frame length. Hence the intensity values at the same surface point modulated by three neighbouring gratings can be obtained, and its phase value can be computed by an improved phase-extracting algorithm. The profile of a specimen is detected by the proposed method. Experimental results demonstrate that this method is effective for the profile measurement of a moving object.     

Window fringe pattern demodulation by multi-functional fitting using a genetic algorithm

We present a new way to demodulate complicated fringe patterns containing closed fringes using a genetic algorithm (GA). The entire fringe pattern is divided into a set of partially overlapping smaller sub-image windows. Each of these has a lower dimensionality and as a consequence is faster and can be demodulated more reliably. The demodulation process proceeds row-by-row way passing from one sub-image in a neighborhood until the whole interferogram is processed. The modulating phase of each sub-image is modeled as a parametric analytic function whose parameters are optimized using a GA. The technique is demonstrated demodulating some normalized fringe patterns that have two main difficulties: closed fringes within the interferogram and regions of under-sampled fringes. These fringe images cannot be demodulated by techniques such as the regularized phase tracker (RPT).     

一种无需标记的在线三维测量方法

提出了一种无需标记的物体在线三维面形测量方法。将一固定的正弦条纹投影到待测运动物体上,借助物体运动产生等效的相移变形条纹。基于傅里叶变换轮廓术的调制度对各帧变形条纹计算,提取其具有某一特定分布的特征区域,采用相关度最大法,检测各帧变形条纹对应的调制度特征区域的位移量来检测出物体的移动,从而实现像素匹配,得到一组像素坐标完全一一对应的等效相移变形条纹图。利用Stoilov相移算法得到物体的截断相位,利用位相展开算法展开位相,通过位相和高度映射即可实现在线移动物体的面形测量。通过计算机仿真验证了该方法的可行性。     

外差式偏振干涉成像光谱技术研究

提出了一种新型的基于Savart偏光镜的外差式偏振干涉成像光谱技术,该技术在偏振干涉成像光谱仪中引入一对平行偏振光栅对,使其得到的干涉图频率与波数相关,具有了波数外差的特点,降低了干涉图频率,从而可利用较少的采样点数实现很高的光谱分辨率.对外差式偏振干涉成像光谱技术的基本原理进行了研究,详细分析了系统光程差、干涉图表达式、光谱分辨率以及光谱复原方法等.最后给出了外差式偏振干涉成像光谱仪的设计实例并进行了计算机仿真模拟,所复原的光谱与输入光谱曲线相符合,验证了方案的正确性.外差式偏振干涉成像光谱仪具有结构紧凑、光通量高、稳定性强、光谱分辨率高的特点,尤其适合超小型高稳定性、高探测灵敏度的高光谱探测应用.     

Photorefractive shearing interferometer

A novel method of obtaining shearing interferogram by slightly moving the crystal in a photorefractive interferometer is proposed. This method can measure the phase of an object itself instead of its diffraction field, and it is easy to realize continuously changeable shearing distance in any lateral direction and introduce carrier fringes at the same time. Both the theoretical analysis and experimental verification are given.     

Deconvolution systems for coded aperture images of three-dimensional x-ray objects

A non-redundant distribution of ten point sources is used for coded aperture imaging. The coded image of a simple three-dimensional x-ray object is deconvoluted by means of three different decoding systems: by an optical projection system using spatially incoherent light, by an on-line optical set-up with information input using an electro-optic relay tube, and by a quasi-on-line electronic system using an electronic storage-tube. The three methods are compared with respect to signal-to-noise ratio, resolution, and convenience of handling.     

干涉条纹图像处理的相位解包新方法

干涉图的处理是光干涉计量中的关键技术.采用泰曼一格林型干涉系统,建立被测物与干涉相位之间的数学模型,通过MATLAB软件,实现对被测参数的自动化测量.基于二维快速傅里叶方法的基本原理,提出一种新的相位解包算法--菱形种子算法,通过识别1个种子点,然后依次向相邻4点扩展,再把这4个点作为第二批种子点,依次向各自的4点邻域扩展,以菱形轨迹遍历所有的有效信息点,以到达整幅图像相位解包的目的.采用该算法测量薄膜样片的厚度,测试结果与ZYGO测试结果比较,PV误差为0.036 4λ,RMS最大误差为0.003λ,证明该算法虽然处理的是单幅干涉图,但可以得到高精度的相位分布.     

用于实时三维成像的双频结构光编解码方法

对三维重建中的实时性问题进行了研究,提出一种新的结构光双频测量方法。首先,投影光栅将基频正弦图案和高频正弦图案结合在一起,并保留一张图片作为直流分量,高频图案用于得出鲁棒性较好的高频相位信息,基频图案得出基频相位,并对高频相位进行展开,共5幅图片。其次,用相应的解码方法计算每一像素点的相位,滤除噪声干扰,得到照相机与投影仪的对应关系。最后,根据相位计算出每一采样点的三维坐标,实现三维重建。实验结果表明:计算得到的相位误差的方差为5.559 110-6 rad2,扫描时间为0.156 3 s,在保证实时性的同时有相对较高的精度。对表面深度变化复杂的物体进行三维测量,验证方法的可行性。相比较于传统的双频测量方法,本方法将投影图片数量减小到5幅的同时保持了较好的精度,可应用于扫描动态物体。     

光学综合孔径望远镜阵的光束组合器

光束组合器是光学综合孔径望远镜阵重要技术组成部分之一。从光束组合器所产生的光干涉条纹中提取中央条纹（主峰）相位和可见度信息，实现对望远镜状态、延迟线光程补偿与条纹跟踪，光束平行性伺服等进行精细馈控，从而高灵敏度、高效率地得到图像重构的闭合相位等数扭，最后获取高分辨率的目标图像。给出了一个用于光学综合孔径望远镜阵像面光束组合器方案的初步研究结果。     

Generalized phase-shifting algorithm for dynamic phase measurement in electron-wave interferometry

A generalized phase-shifting algorithm is implemented in the electron-wave interferometry with a transmission electron microscope, based on simultaneous measurement of the initial phases of the interferograms. The initial phase of each interferogram that has inherent linear carrier fringes is calculated using the Fourier co-efiicients of the interferogram itself corresponding to the carrier-frequency. Taking advantage of this phase-shifting method in both spatial resolution and precision, the phase distribution of a biological weak phase object is successfully measured. This promises to be one of the most spectacular application fields for this new technology.     

Simultaneous measurement with one-capture of the two in-plane components of displacement by electronic speckle pattern interferometry

We present the simultaneous measurement of the two in-plane displacement components by electronic speckle pattern interferometry with three object beams and without an in-line reference beam. Three interference fringe patterns, corresponding to three different sensitivity vectors, are recorded in a single interferogram and separated by means of the Fourier transform method. Then, two interference fringe patterns are selected to obtain the in-plane displacement components.     

光纤傅里叶变换光谱仪干涉图的对称化处理

偏离中心条纹的抽样以及光纤干涉仪的缺陷引起光纤傅里叶变换光谱仪(FFTS)输出的干涉图不对称,导致由傅里叶余弦变换计算得到的光谱带有相位误差,影响光谱的线型。文章首次将卷积方法应用到光纤傅里叶变换光谱仪中干涉图的对称化处理,利用干涉图的中心部分计算出相位误差,通过傅里叶变换得到了对称化处理函数,用卷积运算在时域完成了光谱的相位误差校正。实验研究表明,在FFTS中该方法能在时域有效地实现干涉图对称化,校正了光谱的相位误差。该方法不仅克服了双边干涉图的缺点,而且校正的结果有较高的准确度。     

一种针对彩色物体的光栅投影三维测量方法

针对传统彩色编码光栅三维轮廓术中光栅易受到物体表面彩色纹理的干扰,从而造成编码条纹颜色误判和相位误差增大这一问题,提出一种基于互补彩色光栅的三维测量方法,给出了理论分析、光栅设计原理、补偿算法与实验分析。对图像进行初步的解耦校正后,通过预先设计的光栅互补特性,依据彩色响应模型求取物体表面逐点的反射率,并对红绿蓝(RGB)三通道反射率的不平衡进行补偿,消除物体表面彩色纹理的干扰,改善光栅的正弦性。以补偿后的图像来指导彩色编码条纹的分割解码并用傅里叶变换法提取出包裹相位,依据解码结果指导相位展开,继而完成整个三维测量过程。实验证明该方法对彩色纹理的补偿准确有效,降低了彩色纹理对测量的影响。     

Holographic lateral shearing interferometry with the displacement of an object under study

A new method of the holographic lateral shearing interferometry is considered. In the method, the recording of the reference holographic lateral shear interferogram is followed by the displacement of an object under study by a distance equal to the lateral shear. The method provides the simultaneous recording of several aberration-free interference patterns representing with the different sensitivity the changes in the phase of the light wave, introduced by the object under study. The method has been tested experimentally to detect optical inhomogeneities in a cylindrical crystal of the active medium of a solid-state laser.