脉冲激光辐照可见光面阵CCD的入瞳衍射效应

采用波长为532nm的脉冲激光从31.5m的距离辐照可见光面阵电荷耦合器件(CCD),实验观察到了规律性圆环条纹的产生。通过增大激光束的入射角度、调节衰减倍率、重复频率和作用距离,研究了这些规律性圆环条纹的产生条件和机理。结果发现:保持激光器与CCD的作用距离31.5m不变,在激光束的入射角小于或者稍稍大于光学系统半视场角6.8°的情况下,只要光学系统入瞳处的功率密度达到10-3 W/cm2量级,就可以观察到规律性的圆环条纹。通过对探测器表面能量分布进行数学仿真,证实规律性的圆环条纹是由于光学系统入瞳的衍射效应而产生的。     

线性相关计算法形成数字剪切散斑相关条纹图

本文提出了用线性相关计算法形成数字剪切散斑干涉条纹的新方法,从理论分析和实验研究均证明,用该方法所获得的数字剪切散斑相关条纹图在图象监视器上易于观看,条纹图象光强无直流分量影响且可见度较减模式要高,该新方法的采用为今后的条纹图象分析奠定了基础。     

Adaptive optics interferometer using superspeckles for high resolution deformation measurement

Digital speckle pattern interferometry (DSPI) is a well-known technique for measuring deformations, but it is limited in range by speckle decorrelation. We developed an adaptive interferometer with increased measurement range by combining the DSPI set-up with a pupil filter that generates optical superresolution. As a result, a decrease in the transverse speckle size is observed accompanied with a substantial increase in the longitudinal speckle size. The increase in the speckle correlation length along the optical axis allows for obtaining an out-of-plane deformation measurement over a significantly extended depth. An experimental verification of this concept of superspeckles is presented with an intensity-only LCD spatial light modulator (SLM) acting as a pupil filter. Comparison of speckle correlation fringes with and without the superresolution filter confirms the proposed concept. The present work demonstrates a doubling of the measurement range when using the superresolution interferometer. A standard set-up in which the speckle length is comparably elongated by stopping down the lens has a similar loss of intensity, but its lateral resolution is only half as good.     

Speckle interferometric technique to assess soap films

An speckle interferometric technique to monitor the thinning process of vertical soap film before the film rupture is presented. The interferometric arrangement consists in a double aperture pupil optical system which images an input diffuser. In a first step, a reference specklegram is stored in the computer buffer memory. Afterwards, the soap film is located in front of one pupil aperture, an uniform displacement of the diffuser is produced and a new speckle pattern is stored. The soap film status is characterized in terms of the changes that this dynamic phase object introduces in the correlation fringes obtained by applying a FFT algorithm to the resulting summed specklegram. This procedure is done in real time as far as the soap film evolves in the successive status. It is experimentally demonstrated that the soap film during drawing acts as a variable wedge. The correlation fringes behavior becomes an important tool to establish the wedge shaped soap film angle and the thickness variations.     

Young's fringes analysis with a computer image-processing system

A two-dimensional Fourier transform analysis is presented for numerically processing the Young's fringes diffraction pattern from a double- exposure speckle photograph. The fringe spacing and orientation are determined using only one Young's fringes pattern without any other diffraction halo patterns. This algorithm is based on the 2-D FFT of the fringe pattern with 256 × 256 pixels. Therefore, it enables automatic analysis to be performed on specklegram with noisy and poor fringe patterns. The measurement of deformation by the laser speckle method can be carried out with high accuracy, reliability and speed.     

In-plane deformation measurement using holographic moiré

The present paper analyses the factors affecting the quality of the moiré fringes for an arbitrary displacement and deformation of the object surface. Methods for the generation of auxiliary fringes are considered and their localisation is investigated. The physical significance of speckle displacement, both in the image plane and in the pupil plane, is pointed out.     

基于小波变换条纹修补和条纹自相似性的干涉条纹极值提取

提出了基于小波变换的条纹修补方法和利用干涉条纹自相似性的条纹灰度极值自动判读方法.基于小波变换的条纹修补方法包括滤除噪音、多尺度小波变换、模极大值检测滤除奇异区域、近似信号自动修补,在此基础上进行多项式拟合,首先实现最外层条纹灰度极值的自动提取.基于干涉条纹自相似性的条纹灰度极值自动判读方法是通过逐渐平移拟合区域,准确地提取了内层条纹的灰度极值位置,从而可以处理整幅图片的干涉条纹.此方法的特点是自适应、无需人为设定参量、处理速度快.实验结果表明,该方法有很好的可靠性和准确性,并且处理区域大、用时少,仅需对图片扫描一次即可提取全部条纹的灰度极值.     

Interference-pattern image formation in an optical system with a random phase screen in the space-frequency plane

The process of interference-pattern image formation in an optical system with a random phase screen in the space-frequency plane is analyzed. It is shown that an optical system of this kind can function, under certain conditions, as a shearing interferometer, which determines the dependence of contrast of the average intensity fringes in the interference pattern image on the normalized correlation function of the random phase screen complex transmittance. The dependence of the fringe contrast on the pattern period and aperture of the field of view is established, as well as dependence of the optical transfer function of the system under study on spatial coherence of the light in the pupil of the system with the random phase screen.     

Measurements of axial displacements undergone by a diffusing object in speckle photography

The speckles of the image plane of an object are both radially shifted and decorrelated when the object is axially translated through an amount ?. We demonstrate that this radial shift, which is related to the position of the pupil of the optical system, disappears when the pupil lies in the back focal plane of the imaging lens. However, if the irradiance of the image plane is twice recorded on a photographic plate which is laterally shifted through ζ_H between the exposures, the minimum value of the contrast of the Fourier fringes exhibited by the plate after processing, gives the value of ? if ? is less than a particular value, ?_M which will be defined. Also we propose a new speckle measurement method in which the fringes are automatically removed when ? is greater than ?_M. We record the image of the object illuminated in convergent light through an amplitude diffuser placed in the Fourier plane of the object. The mean speckle speckle size of the diffuser is equal to the mean size of the speckles generated by the object in its Fourier plane.     

Scanning moiré and phase shifting with time delay and integration imaging

Scanning moiré is generated by undersampling of a phase-modulated grating pattern. In projection profilometry the scanning moiré pattern represents equal height and depth contours on a test object. By use of time delay and integration (TDI) imaging, it is possible to generate an on-line scanning moiré pattern from the complete periphery of a rotating cylindrical object. For automated phase and profile unwrapping from scanning moiré fringes, phase-shifting interferometry techniques are most desirable. However, lack of spatial information in the undersampled scanning moiré fringes introduces serious errors in phase unwrapping. We report a method that uses oversupply of data to balance the effect of undersampling. This oversupply is achieved with a TDI feature that permits programmable image magnification in the scanning direction.     

Recording and optical processing of images of projected fringes in the study of objects with a periodic surface texture

Specific features of application of the fringe projection method to the study of objects with a periodic surface texture are analyzed. It is shown that a moire pattern is formed in the image recording process. It is caused by the superposition of two periodic structures, namely, the image of the texture of the surface under study and the system of projected fringes. The bending of moire fringes in the pattern is determined by the summary effect of two functions, which describe the bending of the images of surface texture and the system of projected fringes, because of the deviation of the relief shape from the comparison plane. A method for the optical processing of a photographic image by two coherent light beams is described, which makes possible a separate interferometric visualization of the aforementioned functions. Results of experimental studies are presented.     

Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform

Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton׳s rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method.     

Young's modulus measurement of the radius bone using a shearing interferometer with carrier fringes

A technique for measuring Young's modulus of the radius bone by using electronic speckle-shearing pattern interferometry is proposed. The technique is based on the introduction of carrier fringes and the use of a phase unwrapping algorithm to obtain a phase map corresponding to the out-of-plane displacements of a radius bone without sign ambiguities. The carrier fringes are obtained by the correlation algorithm of two consecutive speckle fields with a translation of the illuminating beam between each recording, then the spatial synchronous detection (SSD), an unwrapping phase algorithm and integration process along shear direction are successfully applied for obtaining a displacement phase map. Next, analysis of the radius bone as a cantilever allows us to obtain Young's modulus. The study was performed with speckle interferometry and with the finite element method for comparing the results. Advantages and disadvantages of the proposed method are discussed.     

Measurement of pure curvature fringe distribution by using a double whole-field filtering technique

A double whole-field filtering technique to measure pure curvature fringe distribution of a deformed object is proposed. In this method, the slope fringes which are contained in the pattern of curvature fringes can be completely eliminated from the curvature fringes. Thus the pattern of pure curvature fringes with a good contrast can be obtained. Theoretical analysis and experimental results are given in this paper.     

Fringe pattern denoising via image decomposition

Filtering off noise from a fringe pattern is one of the key tasks in optical interferometry. In this Letter, using some suitable function spaces to model different components of a fringe pattern, we propose a new fringe pattern denoising method based on image decomposition. In our method, a fringe image is divided into three parts: low-frequency fringe, high-frequency fringe, and noise, which are processed in different spaces. An adaptive threshold in wavelet shrinkage involved in this algorithm improves its denoising performance. Simulation and experimental results show that our algorithm obtains smooth and clean fringes with different frequencies while preserving fringe features effectively.     

A novel optical method in micro drop deformation measurements

A novel method was developed to determine the deformation of a micro drop on a substrate. The principle of the method is based on the scattering of parallel fringes pattern from the deformed droplet. Because only a very few components are needed together with a conventional laser Doppler anemometry (LDA) transmitting unit, the newly developed method is very easy to be implemented. Within the geometrical optics approach, it is possible to reconstruct the profile of a non-spherical micro drop from the scattered interference fringes. The spatial frequency of the fringes was analyzed using fast Fourier transform (FFT). The validation experiments for this method in the determination of micro drop deformation which is affected by gravity, capillary force and surface tension were performed and the results are agreed well with the theoretical analysis.     

Experimental research on application of Hartmann micro-lens array in coherent beam combination of two-dimensional laser array

We demonstrate experimentally the application of a phase error detection method in the coherent beam combination (CBC) of a laser array. The method is based on the Hartmann micro-lens array. Both the piston and tilt errors can be detected and corrected simultaneously by combining this method with adaptive optics-correcting technology. The far-field intensity pattern of the combined beam has high energy concentration and good beam quality. The power encircled in the main lobe of the far-field pattern is 41.3%, and the contrast of the pattern reaches 81.8%. Experimental results show the great potential of the Hartmann phasing method for use in the CBC of a large number of laser beams.     

A novel interferometric method for contour mapping of optically rough surfaces

A new white light interferometric arrangement for contour mapping of light diffusing but not depolarising surfaces is presented and compared with related electronic speckle and holographic interferometry (ESPI and HI) methods. Using two angles of illumination of the tested surface, and modifying the light beam in the observation pupil it is possible to observe contour fringes with arbitrary sensitivity depending on the geometry of a chosen set-up.     

Defects analysis of Al/Si artificial nanocluster with moiré fringes

In this paper, it is demonstrated the defects play a very important role in determining the quality of artificial nanoclusters grown. The surface strain (stress) distribution around defects in Al artificial nanocluster is analyzed by Moiré fringes pattern. The moiré fringes generated by scanning lines in monitor and nanocluster array can be used as a “magnifier” to study surface imperfections with scanning tunneling microscopy (STM). As moiré fringes’ exist in many ordered nanostructures and adsorbate systems, the method is expected to have wide applications.     

Quantitative vibration amplitude measurement with time-averaged digital speckle pattern interferometry

A new method of using time-averaged digital speckle pattern interferometry for the quantitative measurement of vibration amplitude was developed. Signal processing techniques especially the Hilbert transformation for quantitative evaluation of the Bessel fringes obtained in time-averaged digital speckle pattern interferometry were explored. The quadrature signal after Hilbert transformation is equivalent to a 90° phase-shifted interferogram for a monotonically increasing or decreasing phase function. An algorithm was developed for Bessel fringe contrast enhancement and phase extraction. The techniques were tested numerically and experimentally. Sub-fringe quantification of the time-averaged vibration fringes is realised with the proposed method. Compared with the commonly used phase shift method which requires a minimum of two images for image processing, this method requires only one fringe pattern for data extraction.