Pseudo-schlieren CT measurement of three-dimensional flow phenomena on shock waves and vortices discharged from open ends

1A pseudo-schlieren technique is applied to the interferometric computed tomography (CT) measurement of three-dimensional (3-D) shock waves discharged from a square open end and a pair of circular open ends in a shock tube experiment. The experiment is performed for incident shock Mach numbers of 2.0 and 2.2 in nitrogen gas under supersonic post shock flow conditions at the open end. The 3-D density-gradient distributions are evaluated from the CT data of the 3-D density distributions, and are depicted in gray-scale CT images of the gradient magnitude and in pseudo-color CT images of the gradient component. The resultant pseudo-schlieren CT images clearly illustrate the 3-D flow features of shock waves, contact surfaces, and the other sharp density fronts. Their image characteristics and meaning in gas dynamics are discussed in comparison with the pseudo-color images of the density. We demonstrate that the pseudo-schlieren CT technique is a useful tool for studying 3-D problems in shock dynamics. Communicated by K. Takayama PACS 47.32.cd; 47.40.Nm; 47.80.jk     

Characterization of shock accelerometers using Davies bar and laser interferometer

In this paper, we propose a novel method for evaluating the frequency response of shock accelerometers using Davies bar and interferometry. The method adopts elastic wave pulses propagating in a thin circular bar for the generation of high accelerations. The accelerometer to be examined is attached to one end of the bar and experiences high accelerations of the order of 10³∼10⁵ m/s². A laser interferometer system is newly designed for the absolute measurement of the bar end motion. It can measure the motion of a diffuse surface specimen at a speed of 10⁻³ ∼10⁰ m/s. Uncertainty of the velocity measurement is estimated to be±6×10⁻⁴ m/s, proving a high potential for use in the primary calibration of shock accelerometers. Frequency characteristics of the accelerometer are determined by comparing the accelerometer's output with velocity data of the interferometry in the frequency domain. Two piezoelectric-type accelerometers are tested in the experiment, and their frequency characteristics are obtained over a wide frequency range up to several ten kilohertz. It is also shown that the results obtained using strain gages are consistent with those by this new method. Paper was presented at the 1992 SEM Spring Conference on Experimental Mechanics held in Las Vegas, NV on June 8–11.     

Measuring the refractive index of crude oil using a capillary tube interferometer

A method for measuring the refractive index of low-transparent crude oils using a capillary tube interferometer is described. The method is based on analyzing the resulting transverse interference fringe patterns in terms of their positions with respect to the lens/capillary tube interferometer. The refractive indices of seven blended crude oils of low transparency were measured with accuracy of up to six decimal digits and were related to the API gravity of the oils. The ray tracing inside the capillary tube is explained and the transverse bell-shaped interference fringes are interpreted.     

A comparative study of spliced optical fibers

A fusion-spliced optical fiber is examined with a laser sheet of light. A CCD camera is used to record the transverse interference pattern from the fiber. The buckling on the fiber material in one direction of the spliced point is distinct inside the transverse interference pattern. The refractive index profile inside the fiber core, obtained at different illumination directions, is calculated using a new method showing the change in the refractive index due to fusion splicing of the fiber. A simple theoretical model is introduced to simulate the anomalous behavior in the transverse interference fringes due to a slight change of the optical parameters.     

Holography, speckle, and computers

Surveys are presented on automatic and quantitative deformation measurements using CCDs and computers in holographic interferometry and speckle metrology for diffusely reflecting surfaces. For delivering relationships between object deformation and observed quantities, we discuss formations of fringes and signals observed in these methods in terms of correlation functions of spatially randomly varying complex amplitude of light. Dependencies of the observed patterns on object deformation and optical systems are discussed. Physical meanings of the derived relationships are explained in terms of the dynamic behaviors of speckles resulting from surface deformation. Automatic measurements are described in chronological orders. They include analysis of fringe patterns resulting from photographic recording of specklegrams, video recording and analysis of speckle patterns used in electronic speckle pattern interferometry as well as direct digital correlation techniques, and digital holography that uses both digital recording and reconstruction of holograms.     

A new set-up for pulsed digital shearography applied to defect detection in composite structures

An optical set-up based on the combination of new CCD technology, a ruby laser and a Mach-Zehnder shear interferometer is presented for defect detection in composites. Transient loads are used to excite defects in a sandwich structure and image-processing routines allow improving the detection resolution. Phase calculation is obtained by FFT algorithms applied to interference patterns with a spatial carrier in the primary fringes. Independent control of the shear and the frequency of the spatial carrier can be obtained with this set-up. The experimental implementation of the set-up and the results obtained with it are presented and discussed.     

Test of a conical lens using a two-beam shearing interferometer

We describe a two-beam shearing interferometric technique for testing refractive conical lenses. The optical configuration requires two mutually coherent plane wave fronts transmitted through the conical lens under test. The method can also be considered as an interferometric fringe projection technique in which a fringe pattern produced by the two interfering wave fronts is projected through the optical elements. We describe the principle of the method and present application of the technique for determining the angle formed by the flat surface and the conical surface of a refractive conical lens.     

一种基于空间光程差调制的条纹位置测量方法

提出了一种基于空间光程差调制的条纹位置测量方法,用于恒星干涉仪条纹搜寻和条纹追踪.来自基线两端的两光束合束时,通过合束器在两光束之间引入一个倾角,用以实现静态的空间光程差调制.使用成像透镜将静态光程差调制得到的白光干涉条纹成像到CCD探测器上.白光条纹位置的偏移与两光束之间的光程差大小相关,使用获得的干涉条纹实时计算白光条纹位置,测量出两束光之间的光程差,用于延迟线的实时光程差补偿,从而可以稳定干涉条纹.数值模拟和实验结果表明,采用该方法获得的最大光程差测量误差为0.159μm,小于数值模拟和实验所用宽带光的平均波长0.555μm,测量精度满足条纹相干的要求.与时间调制方法相比,该方法原理和算法简单,且对于大气扰动更不敏感.     

波长调谐干涉测量的相移标定方法

基于菲索干涉的变频相移技术,提出一种分步相移标定方法.生成n组t步相移干涉图,每步相移为π/2;将每步的n组干涉图分别与初始干涉图做相乘和傅里叶变换运算,在此基础上构建每步相移的误差函数;通过求取误差函数极值点来实现对每步相移值的准确标定.结果表明,该标定方法的标定准确度优于传统标定方法,且标定准确度提高了2~3个数量级.该方法不仅避免了传统相移标定中存在的随机误差,也彻底消除了累积误差.     

Analytical study of disturbing diffraction orders in in-line computer generated holograms for aspheric testing

The effect of spurious diffraction orders due to an in-line diffractive compensator for the measurement of aspheric surfaces is analytically studied. The use of a filtering aperture to isolate the measurement diffraction order from the stray orders introduces additional spurious fields that must be analyzed for a correct evaluation of surface defects. In this work the influence of the additional diffraction orders is studied and an analytical expression for the disturbing field on the detector is obtained.