Automatic processing of Young''s fringes in speckle photography

A new method for the automatic processing of Young's fringes in speckle photography is described, based on the technique of spatial phase detection. The amount of calculation is reduced, yet accuracy is of an order comparable with that of the Fourier transform method. Furthermore, orientation of fringes is determined as well as fringe spacing.     

Phase shifting of whole-field fringes in dual plate speckle photography

New developments of a phase shifting readout system for the analysis of whole-field fringes in dual plate speckle photography are presented.     

散斑条纹的快速高精度处理技术

本文提出一种快速高精度散斑杨氏条纹(斑纹)场处理方法——同态阀值滤波法。用它实现了散斑场条纹的快速、逐点连续高精度处理。     

Automatic analysis of Young''s fringes in speckle photography and particle-image velocimetry

Laser-speckle photography (LSP) and particle-image velocimetry (PIV) are two closely related optical techniques for the measurement of two-dimensional in-place displacement. LSP is primarily used for the measurement of solid-surface motion, whereas PIV is used in fluid-flow applications. In both cases, data are obtained from the optical-power spectrum of a double-exposure recording of the moving object by measuring the wavelength and orientation of Young's-type fringes corresponding to the displacement magnitude and direction, respectively. Typically, in any single experiment, of the order of 10⁴ fringe patterns must be analysed, and this would be extremely tedious to perform manually. For this reason, a number of schemes have been reported in the technical literature for automated analysis of Young's fringes. In this paper, we examine two techniques, 1-D integration and 2-D autocorrelation, and discuss their application to LSP and PIV. A unified theoretical model is used to show important differences between the two techniques, and resulting implications with respect to analysis procedures are discussed.     

旋转孔径散斑照相逐点分析法

本文提出了旋转孔径散斑照相的逐点分析法,其杨氏花纹一般来说不是等距离的直条纹,而是与位移的动态过程相联系的曲线条纹.本文解释了这种条纹的意义,给出了理论分析和实验证明.     

散斑剪切照像术中孔径函数的影响

本文对散斑剪切照像术中傅里叶滤波平面的光场分布进行了讨论,得出滤波系统频谱面上的光场分布是以孔径函数的自相关和互相关的边界为周界;对最佳拍摄孔径的设计作了探讨,认为采用适当分离的孔径可以研善波效果,提高条纹的质量。实验的验证结果与理论相吻合。     

研测动态问题的旋转孔径散斑照相法Ⅰ:双孔、四扇孔

本文提出一种研测动态问题的实验新方法——旋转孔径散斑照相法。该法设备简单,利用一个旋转孔径装置,能在一张散斑图上记录下物体动态变形的全过程,然后在全场波滤分析时把各瞬时的信息分离出来,可得任意时刻的瞬态位移场。转孔法能应用于振动和非周期性动态问题,并以三个实验证实其可行性。实验结果表明,散斑条纹清晰可靠,定量分析与其它方法所得结果一致。     

研测动态问题的旋转孔径散斑照相法Ⅱ:矩位、平四位、直三位孔径

本文提出了旋转孔径散斑照相法中三种新颖的基本孔径:矩位孔、平四位孔和直三位孔,进行了理论分析和实验证明。采用新孔径拍摄散斑照相,散斑信息利用率高,衍射晕能量分布合理,信噪比提高,因而散斑条纹清晰度得到改善,相应的实验误差减小。     

Application of fringe shifting technique in speckle photography

It is shown that the fringe shifting technique can increase the sensitivity of speckle photography for sub-speckle size changes. The technique gives time-ordered pattern that can be used for the sign detection of the motion as well.     

Manipulation of speckle fringes for non-destructive testing of defects in composites

A digital speckle pattern interferometer with optical fibres is proposed for composite materials diagnostics in an operative environment. Detection of a variety of flaws, such as disbonds, delaminations and cracks in aircraft components, is reported. Additional fringes are introduced for linearizing the fringe pattern and obtaining quantitative deformation measurements by Fourier transform analysis.     

Comparison of phase recovery methods in spiral speckle pattern interferometry correlation fringes

Spiral interferometry can be used as a solution to the problem of sign ambiguity presented in the conventional speckle pattern interferometric technique when the optical phase needs to be reconstructed from a single closed fringe system. Depressions and elevations of the topography corresponding to the object deformation are distinguished by the direction of rotation of the local spiral fringe pattern. In this work, we implement and compare several methods for optical phase reconstruction by analyzing a single image composed of spiral speckle pattern interferometry correlation fringes. The implemented methods are based on contour line demodulation, center line demodulation, Spiral Phase Quadrature Transform and the 2D Riesz transform with multivector structure. Contour line and center line demodulation approaches are exclusively dedicated to images containing a fringe system with spiral structure. The others are based on the 2D Riesz transform, these being well known approaches in conventional interferometry. We examine simulated experiments and analyze some of the emerging drawbacks for solving the phase reconstruction problem by using different mean values of speckle size and background noise levels. We also discuss several numerical procedures that may well improve the efficiency and robustness of the presented numerical implementations. The performance of the implemented demodulation methods is evaluated by using a universal image quality index and therefore a quantitative comparison is also presented.     

Evaluation of error in the measurement of displacement vector components by using electronic speckle pattern interferometry

We report on the errors obtained by comparing in- and out-of-plane displacements calculated from the sensitivity matrix with all its components, and when only the component from the largest contributing of each one of the three interferometers is considered. Divergent illumination is considered in the evaluation of sensitivity vector to measure displacement vector components. This analysis is performed for a flat elastic target which is loaded in the x-direction and after in the z-direction. The technique applied is electronic speckle pattern interferometry.     

Measurement of vibration with Young's fringe modulated speckle patterns in a photorefractive correlator

A technique has been proposed to analyze small in-plane component of vibrations by measuring the fringe shift, and analysing the correlation output of captured vibrating Young's fringes with a photorefractive correlator. Fringes are formed due to interference between the reconstructed speckled beam recorded for stationary object beam, and vibrated speckled beam transmitting through a BaTiO₃ crystal after introducing a small shift in the diffuser position. The correlation peak intensity is affected due to mismatch of vibrations between two piezo-mirrors in the object beam. High correlation output gives an indication of the frequency matching of known reference and unknown vibrations, thus giving information on the frequency of vibration. Vibration amplitudes of the order of a wavelength of light have been measured by counting the number of fringes passing past a line in the observation plane.     

大孔径静态干涉成像光谱仪的信噪比分析

根据大孔径静态干涉成像光谱仪的原理和特点,分析了光辐射能在光学系统内的传输情况,对探测器上接收到的光辐射能信号和噪音信号做了详细的推导,得到了仪器理论信噪比的表达式.在实验上以大口径积分球为辐射源,采集仪器输出的干涉图像,计算得到仪器的实际信噪比曲线,对大孔径静态干涉成像光谱仪的理论信噪比曲线与实际的信噪比曲线做分析比较,结果验证了用推导的论信噪比的表达式来预估仪器信噪比的可行性.     

偏振型干涉成像光谱仪中Savart偏光镜通光孔径的研究

论述了偏振型干涉成像光谱仪的核心部件——Savart偏光镜的结构和分光机理. 应用波法线追迹的方法, 对光在任意方位入射面内, 以任意入射角入射时Savart偏光镜中的光线传播规律及出射光孔径变化进行了理论推导, 给出了出射孔径与入射位置、入射角及入射方位角之间满足的关系, 并讨论了光线传播始终处于Savart偏光镜晶体内部, 最终从出射面射出所需满足的条件. 采用计算机模拟, 给出了光线垂直入射时, 出射孔径的表达式, 验证了推导的正确性; 在此基础上对自行设计的干涉成像光谱仪通光孔径进行了详细分析和讨论, 结果表明通光孔径精确值和近似值之间存在较大差异. 给出了孔径面积利用率随入射方位角的变化曲线, 阐明在干涉成像光谱仪的参数论证以及孔径光阑的选取中, 不能忽略由于晶体双折射现象带来的孔径变化. 研究结果可为偏振型干涉成像光谱仪的设计、研制、调试和工程化提供重要的理论依据和实践指导.     

方形光阑限制高斯光束的传输变换

对基模高斯光束经方形光阑限制光学系统的光斑传输变换规律进行了论述．对于任一共轴光学系统,在不考虑有效光阑前面元件的衍射和变换时,考察入射光经有效光阑和其后面的元件发生衍射,根据柯林斯公式,对于非成像光学系统,采用稳相法得到出射光场的振幅分布;对于成像光学系统,根据像传递原理得到出射光场的振幅分布,最后得出出射光斑大小由有效光阑边长与光阑处高斯光束腰斑大小比较决定的结论．     

Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions

Received: 22 May 1998/Revised version: 10 July 1998     

Measurement of tilt of a diffuse object by double-exposure speckle photography using speckle fanning in a photorefractive BaTiO3 crystal

A technique has been proposed for the measurement of tilt of a diffuse object using speckle fanning in a photorefractive BaTiO₃ crystal. Free space geometry has been used for recording in which the axis of rotation of the object lies away in three-dimensional space. The method is based on recording of two exposures, one before- and another after the tilt, thus producing speckle correlation fringes due to overlapping of two speckle fans. We consider a generalized case of tilt, generating curved fringes with center shifted in the transverse direction. The axis of rotation lies perpendicular to the optical axis in three-dimensional space having the transverse and axial components of the shift in the center of rotation with respect to the diffuser plane. Fourier transform of the curved fringes produces correlation output. Measure of separation between the correlation peaks in transverse and axial directions provides information about the tilt angle, the direction of tilt, and the distance of rotation axis from the optical axis. Experimental results have been presented to validate the theoretical predictions.     

Shot-by-shot frequency calibration of CARS spectra: Application to the measurement of the collisional line shift in oxygen

A technique using a Fabry-Perot interferometer has been developed to calibrate high-resolution spectra obtained by Coherent Anti-Stokes Raman Spectroscopy (CARS). This technique was used to measure simultaneously the Raman frequency and the Raman signal at each laser shot. We demonstrate the accuracy of the method by measuring theQ(15) line shifts of molecular oxygen due to collisions with oxygen and water vapour.