Fixed Q pulsed holographic interferometry

Continuous wave laser time-averaged type holographic interferometry has long been used for the analysis of structural vibrations. The exposure time is usually much larger than the vibration period. The brightest interference fringe corresponds with the nodal region, i.e. that portion of the surface that remains stationary during exposure. The application of the technique is, however, like all continuous wave laser holography, limited to structures that can be observed in a vibration free environment.The output of a ruby laser oscillator in use at Marchwood Engineering Laboratories (MEL) consists of a random series of spikes contained in an envelope of about 800 μ. The coherence length of the output is greater than 1 m. Use of this output allows the production of time-averaged holograms in unstable environments. Due to the random nature of the output, the fringes are not readily quantifiable but show the characteristic bright zero-order fringe of continuous wave time-averaged holography.     

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.     

Vibration Analysis by Phase Shifting Digital Holography

Phase-shifting digital holography has been used for the study of vibrating objects. The time-averaged complex amplitude of Fresnel diffracted field due to a vibrating object was obtained by using a three-step phase-shifting algorithm. Taking the inverse Fresnel transform of the complex amplitude resulted in an image of the object superimposed with Bessel fringes. The Bessel fringes are contour map of the vibration amplitude. By sinusoidally modulating the phase of the reference beam at the vibration frequency, the brightest fringe could be shifted to points of interest, thus extending the measurable range of vibration amplitude.     

Reference fringes in holographic interferometry

This paper describes the application of reference fringes in double exposure holography of transient phase objects. This includes selection of fringe patterns and fringe number densities suitable for the quantitative analysis of the hologram. Methods of realizing different reference fringe patterns are presented. As the focus of the interference fringes depends on the optical arrangement, different systems are discussed.     

Assessment of the strength of cathode ray tubes by time-averaged holographic interferometry

The application of time-averaged holography to the non-destructive testing of CRT faceplates is described. The antinodes revealed by the fringe patterns have been found to correspond to the weakest points on the faceplates. The relative strengths of different CRTs can be deduced from the number of fringes obtained when they are vibrated over a range of amplitudes. The information can aid designers of new types of CRT.     

Vibration analysis and non-destructive testing with real-time shearography

Real-time laser speckle shearography coupled with vibration stressing is shown to be an effective means of vibration analysis and non-destructive testing. The shearograms are modulated by a system of live fringes. These fringes are shown to be described by the zeroth-order Bessel function of the first kind and their visibility decreases with increasing fringe order. In vibration analysis, the instantaneous fringe pattern depicts the out-of-plane surface displacement gradient of the object surface at various resonance modes. In non-destructive testing, the flaw depth in a component can be determined without having to determine fringe orders. There is good agreement between the results obtained using the method and those from theory and time-average holography. A major advantage of real-time shearography is its facility for continuous assessment of a vibrating object without the need for secondary shearogram reconstruction.     

Contrast enhancement of time-averaged fringes based on moving average mapping functions

Moving average contrast enhancement techniques are applied for visualization of time-averaged fringes produced by time average projection moiré. The complexity of the problem is based on the fact that grayscale levels at centerlines of fringes depend from the geometrical location of these fringes. Moreover, moiré grating geometry determines the direction of sensitivity to dynamic deflections. Standard fringe visualization methods fail to produce interpretable results. The developed pixel-based analysis techniques enable efficient reconstruction of projected fringes.     

Fringe pattern denoising using averaging based on nonlocal self-similarity

Digital image processing for fringe patterns is an important procedure in optical interferometry. Filtering off noise from fringe patterns is one of the key tasks for extraction of the phase field. Spin filters proposed by Yu et al. [Appl. Opt. 33(1994), 41(2002), et al.] have been proven to be effective denoising methods. In this paper, we develop a nonlocal self-similarity filter, which averages similar pixels searched for in whole image instead of in a local fringe direction as the spin filters do. Although simple and free of the fringe orientation estimation, involving more pixels with higher similarity levels, our algorithm has stronger robustness against noise and thus denoises fringe patterns more effectively. Simulation and experimental results show that our algorithm outperforms related filters both in preserving smooth fringes and in reducing blurring effects and quantitative errors.     

Relationship between the fringe number of the scanning beam and the twin-image noise

A method of digital filtering for eliminating the twin-image noise of reconstructed images in optical scanning holography is proposed and demonstrated by the example of slit objects. The fringe number of the scanning beam in relation to the twin-image noise is investigated in detail. Some results of computer simulations are obtained. In the far field, the further object scanned by the scanning beam with fewer fringes has lower and flatter amplitude of the twin-image noise for reconstructed images. However, being independent of the fringe number the twin-image noise affects seriously on the reconstruction in the near field. So the twin-image noise should be considered in reconstruction in the near field.     

Determination of vibration phase by stroboscopic sandwich holography

This paper shows the application of the sandwich technique to the vibration analysis performed by stroboscopic hologram interferometry. The image reconstructed from the sandwich hologram replaced in its original position gives the same fringes of classic stroboscopic double exposure holography.The reconstruction with sandwich tilting allows the determination of the sign of the vibration phase by observing the distortion of the fringe pattern.     

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.     

Scanning schemes in white light photoelasticity – Part II: Novel fringe resolution guided scanning scheme

Varied spatial resolution of isochromatic fringes over the domain influences the accuracy of fringe order estimation using TFP/RGB photoelasticity. This has been brought out in the first part of the work. The existing scanning schemes do not take this into account, which leads to the propagation of noise from the low spatial resolution zones. In this paper, a method is proposed for creating a whole field map which represents the spatial resolution of the isochromatic fringe pattern. A novel scanning scheme is then proposed whose progression is guided by the spatial resolution of the fringes in the isochromatic image. The efficacy of the scanning scheme is demonstrated using three problems – an inclined crack under bi-axial loading, a thick ring subjected to internal pressure and a stress frozen specimen of an aerospace component. The proposed scheme has use in a range of applications. The scanning scheme is effective even if the model has random zones of noise which is demonstrated using a plate subjected to concentrated load. This aspect is well utilised to extract fringe data from thin slices cut from a stereo-lithographic model that has characteristic random noise due to layered manufacturing.     

基于Hough变换的数字全息干涉条纹检测

提出了一种利用Hough变换在图像中检测模糊直线条纹的有效方法.将Hough变换对随机噪音不敏感的特性与Fourier变换的性质相结合,可实现对图形中有相同周期条纹的检测.该方法不针对单一条纹,只识别相同周期条纹的总体特征,能有效避免条纹部分缺失对检测结果的影响,并能快速检测条纹的准确数量.将该方法应用于数字全息干涉图...     

Contrast enhanced and phase controlled stroboscopic additive fibre optic TV-holography for whole field out-of-plane vibration analysis

A new technique for real-time contrast enhancement and phase control of fringes in additive Stroboscopic TV-holography applied to out-of-plane vibration analysis and its implementation on a fibre-optic electronic speckle pattern interferometer (FOESPI) are presented. Synchronous Stroboscopic illumination, firing two pulses per object vibration period, is combined with simultaneous inter-pulse (high frequency) and inter-frame (low frequency) phase modulation in the reference arm of the ESPI yielding a sequence of frames (interferograms) that are grabbed and processed in real-time. With this technique both speckle and fringe phases are independently controlled by means of the parameters of modulation enabling speckle contrast inversion, as required to enhance the visibility of fringes by sequential subtraction, as well as dynamic fringe phase shifting to solve peakvalley ambiguities.     

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.     

Measurement of vibration amplitude by an optical fiber-based moiré interferometer

A projected-fringe fiber-based moiré interferometer is proposed to measure the local amplitude vibration of a diffuse surface. The technique is based on an optical fiber interferometer which projects interference fringes on the object surface. The visibility of these carrier fringes is modulated by a function of local amplitude vibration. Full-field quantitative analysis is performed by analyzing the fringe pattern with a 2-D Fourier transform method. Theoretical details, and experimental results are presented.     

Examination of the upper measurement limit in displacement measurement using fringe compensation in digital holography

Digital holography is a widely used method for displacement measurement in coherent optical metrology. An obvious limit of the method is that too large displacements result in dense fringes, so the fringes are practically invisible. The maximum number of contour fringes in displacement measurement is limited, because the cameras are discrete devices and sampling theory plays an important role. Because of the limited measurement range, compensation methods are promising tools for practical measurements. It can be shown that the practical measurement range can be extended above the Nyquist sampling limit. Compensation methods can be digital, because digital holographic interferometry operates with images recorded with a digital camera. In our research work the upper measurement range of fringe compensation method was examined. Our goal was to perform automatic compensation even if the displacement is higher than the measurement range of the basic method. The operation of the automatic fringe compensation method was based on the combination of two types of out-of-plane displacement measurements with different sensitivities.     

Smoothing of speckle and moire fringes by computer processing

Moire and speckle pattern fringes are usually readily identifiable by eye: when the intensity of such a pattern is digitised and fed into a computer, it is by no means easy to identify the fringe positions because of the presence of optical noise in the fringe patterns. Three techniques for digital smoothing of such fringe patterns are discussed here.     

Electro-optic holography fringe control using diode laser current modulation

Electro-optic holography (EOH) is a whole field, laser-based, vibration measurement technique. Highly dense, unresolvable fringe patterns often limit the EOH measurement range. This paper presents a technique for increasing the measurement range of an EOH system using diode laser current modulation. This technique is known as frequency translated electro-optic holography (FTEOH). Using diode laser current modulation, the fringe patterns are based on higher-order Bessel functions and the sensitivity of the EOH system can either be increased or decreased. The amount of sensitivity reduction is limited only by the frequency limit of the signal generator that modulates the current supplied to the diode laser. EOH and FTEOH experimental results are presented and shown to closely compare.     

广义条纹图序列编码的相位重建

为解决拓扑复杂物体三维数字化过程中的绝对相位测量及相位重建问题,提出了一种广义变频条纹图序列的相位展开算法。简要综述了现有的各种时间维相位展开算法并指出这些算法存在的问题,在此基础上,详细分析比较提出方法与正指数条纹序列算法的噪声免疫力和时间复杂度,证明该方法有更高的噪声免疫力和更低的时间复杂度。特别是,当相邻编码条纹图的条纹数之比不等于2时,正指数条纹序列算法出现严重噪声,而提出的方法依然能够正常工作。此外,该算法还能够根据实际情况决定需要投影的条纹频率,从而能够使用相对较少的条纹编码图像进行有效的相位展开,进而提高系统的实时性。理论分析和实验结果都证明了提出算法的有效性。