Absolute and comparative measurements of three-dimensional shape by phase measuring moiré topography

We describe a phase-measuring version of projection moiré topography which allows fully automatic on-line analysis of moiré fringe contour patterns. The technique can be used for both absolute and comparative measurements of surface form and an example of each type of measurement is presented.     

Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching

Phase demodulation from a single fringe pattern is a challenging task but of interest. A quadratic phase matching and frequency-guided regularized phase tracker (QFGRPT) and a quadratic phase matching and frequency-guided sequential demodulation (QFSD) for demodulation of a single fringe pattern are proposed. The algorithms are characterized by their improvements on both robustness and accuracy, which are realized by quadratic phase matching and frequency guided scanning strategy, respectively. Quadratic phase matching improves accuracy compared with the existing regularized phase tracker techniques and the frequency-guided sequential demodulation technique using linear phase matching. Frequency guidance ensures high robustness compared with the recently published path-independent regularized phase-tracking technique. Demodulation results from computer-simulated and experimental fringe patterns using the proposed methods are demonstrated and analyzed.     

Application of passive quadrature phase demodulation for the detection of laser ultrasound

In this paper we describe a laser ultrasound detection scheme based on a new passive phase demodulation technique. Typical laser interferometers suffer from the loss of sensitivity because of phase drifts resulting from the mechanical movements of optical components and normally require closed loop stabilisation control. Through the use of a custom-designed grating mask, the present design completely eliminates the need for any feedback control by simultaneously sampling the interferometer output in the four quadrants of the optical phase circle. The signals are then processed to reproduce the actual waveform of the ultrasound pulse. The operation of the proposed technique is demonstrated through the detection of laser-generated ultrasound waves propagating inside an aluminium block.     

Moiré topography in odontology

For several decades, measurement of optical techniques has been used in different branches of science and technology. One of these techniques is the so-called moiré topography (MT) that enables the accurate measurement of different parts of the human body topography. This investigation presents the measurement of topographies of teeth and gums using an automated system of shadow moiré and the phase shift method in an original way. The fringe patterns used to compute the shape and the shape matrix itself are presented in the article. The phase shift method ensures precisions up to the order of microns. Advantages and disadvantages of using the MT are included. Besides, some positive and negative aspects concerned with the implementation of this technique in odontology are shown in the article.     

用于干涉型光纤传感器的相位生成载波解调技术

相位生成载波技术是用于光纤传感器中很重要的一种信号解调方法。简要说明了相位生成载波调制的原理和两种基本的调制方法 ,着重介绍了相位生成载波调制信号的解调方法 ,包括 :零差法、伪外差法和合成外差法 ,并对以上各种方法进行了分析比较。对相位生成载波技术在干涉型光纤传感器中的应用作了详细的介绍。针对现在最有希望用于智能结构的光纤布拉格光栅传感器 ,介绍了相位生成载波技术在这方面的应用。     

Error analysis of dual wavelength quadrature phase demodulation for low-finesse Fabry-Pérot cavity based fibre optic sensor

An analysis of the errors in the dual wavelength quadrature phase demodulation technique for low-finesse Fabry-Pérot cavity based fibre optic sensor is presented. A simple numeric model for calculating the error is established. For sensors that experience only small cavity length changes during measurement, a simplified analytical expression of relative error is also derived. Errors for various sets of interrogation wavelengths are calculated and analyzed. The results show that two wavelengths with very slight difference should be chosen to avoid significant errors.     

Measurement of surface profile in vibrating environment with instantaneous phase shifting interferometry

In-process measurement has been the requirement of the precision industries, but due to vibrations while manufacturing, in-process measurement has been difficult to achieve. There is little work on in-process measurement using phase shifting interferometry, as phase shifting is extremely sensitive to vibrations. In this work, the advantage of the developed non-mechanical and instantaneous phase shifting interferometry is felt while measuring surface profile of large flat surfaces under vibrating conditions which can be extended for in-process measurement of surface profile. A near common path optical configuration is achieved and the effect of the environment is reduced. Moreover, the measurement of phase is instantaneous which increases the versatility of this technique for measuring vibrating objects. Profile measurements were carried out on a smooth mirror surface excited with vibrations of different frequencies and the technique was found to be immune to vibrations of up to 1000 Hz.     

激光量热法测量K9基片的表面吸收和体吸收

表面抛光可能给K9基片带来额外的杂质和吸收,分离K9基片的表面吸收率与体吸收率有助于改进基片的加工质量和抛光工艺,对抗损伤能力研究具有重要意义。分析了激光量热法测量弱吸收的原理,采用符合ISO 11551要求的激光量热计测量K9基片的弱吸收。对相同工艺抛光的不同厚度K9基片进行了弱吸收表征,实验发现K9基片的弱吸收随着厚度增加近似线性增大。推导了表面吸收率和体吸收率的计算式,实验得出本样品的表面吸收率为1.2110-5,体吸收率远大于表面吸收率,体吸收系数为1.7210-3/cm。实验结果显示所用K9样品的吸收主要来自于材料本身,改善抛光工艺对降低其吸收率作用不大。     

Raman spectroscopy of selected borate minerals of the pinakiolité group

The Raman spectra of a series of related minerals of the pinakiolité group have been collected and the spectra related to the mineral structure. These minerals are based upon an isolated BO₃³⁻ ion. The site symmetry is reduced from D_3h to C₁. Intense Raman bands are observed for the minerals takeuchiité, pinakiolité, fredrikssonité and azoproité at 1084, 1086, 1086 and 1086 cm⁻¹. These bands are assigned to the ν₁ BO₃³⁻ symmetric stretching mode. Low‐intensity Raman bands are observed for the minerals at 1345, 1748; 1435, 1748; 1435, 1750; and 1436, 1749 cm⁻¹, respectively. One probable assignment is to ν₃ BO₃³⁻ antisymmetric stretching mode. Intense Raman bands of the studied minerals at 712 cm⁻¹ are attributed to the ν₂ out‐of‐plane bending mode. Importantly, through the comparison of the Raman spectra, the molecular structure of borate minerals with ill‐defined structures can be obtained. Copyright © 2010 John Wiley & Sons, Ltd.     

Development nano-Moiré method with high-resolution microscopy at FML

Some novel nano-Moiré methods have been developed at failure mechanics lab in the Tsinghua University, recently. This paper offers an introduction of these new methods, which can be realized under the atomic force microscope, scanning tunneling microscope, as well as the transmission electron microscope. These nano-Moiré methods are able to offer quantitative analysis to nano-deformation of object. The measurement principles and experimental techniques of these methods are described in detail. A new digital nano-Moiré technique is proposed. Some typical applications to these methods are discussed. The successful experimental results demonstrate the feasibility of these methods and also verify that the methods can offer a high sensitivity for displacement measurement with nano-meter spatial resolution.     

Realization of high sensitivity displacement field from moiré interferometer with rough phase shifting mechanism and pattern matching technique

In this study, phase shifting method is used to modify moiré system into micro moiré interferometer which can measure displacement field with highly improved sensitivity. Apart from existing micro moiré technique, a low cost and less precise translation stage with rough resolution (10 μm resolution) is adapted for the phase shifter. Least square algorithm is applied to estimate the arbitrary phase shifted amount and to minimize the errors induced by lowering the cost. Moreover, specimen grating is phase shifted instead of reference grating which enables simple construction from given moiré system. To compensate for rigid body in-plane translation of specimen that may occur during phase shifting, pattern matching algorithm is put into practice to ensure pixel correspondence for each phase shifted images. To verify the newly constructed micro moiré technique, local displacement fields of Fine pitch Ball Grid Array package and Wafer Level Chip Size Package with elevated sensitivity up to 26 nm per fringe was acquired.     

Large-deformation analysis in microscopic area using micro-moiré methods with a focused ion beam milling grating

In this study, the focused ion beam (FIB) milling method is applied to fabricate sub-micron grating on TiNi shape memory alloy materials. With self-made FIB milling gratings, scanning electron microscope (SEM) micro-moiré and digital moiré methods are successfully used to measure large deformation of porous TiNi shape memory alloys (SMA) in uni-axial compressive tests. The principles of the SEM micro-moiré method and digital moiré method are introduced, and applied to calculate large strain. The full field deformation around shear bands can be measured precisely. During the investigation, the phenomenon of furcated moiré fringes was found, and a corresponding explanation is given in this paper. The furcated fringes are generated in the locations of combined shear bands where sudden changes of strain occur. Successful results also verify that the FIB milling gratings are suitable for micro-moiré measurement and can generate high quality moiré fringes.     

Phase shifting nano-moiré method with scanning tunneling microscope

In this paper, a new nano-moiré method using scanning tunneling microscope (STM) is proposed. This method is capable of measuring nanoscopic deformation of matter. The formation mechanism of the STM moiré fringe and the phase shifting technique used in STM moiré fringes are explained in details. Typical experiments are conducted with the crystal lattices of freshly cleaved highly oriented pyrolytic graphite, are used as specimen grating, to generate STM moiré fringe patterns. Phase shifting is realized in four steps from 0 to 2π by controlling the PZT in the STM system to shift the specimen in the vertical direction. This method provides a new way for disposal of moiré fringes pattern in the nano-moiré measurement.     

Interpretation of fringes produced by time average reflection moiré on a circular disk

Inverse problem of reconstruction of dynamic displacements from the fringe pattern generated by time average reflection moiré is investigated in this paper. A technique for numerical simulation of time average smoothed reflection moiré fringes is proposed. The smoothing procedure is incorporated into the finite element formulation of the problem. Reconstruction of the field of deflections is illustrated for a centrally clamped disk. Such techniques can be effectively exploited in hybrid numerical–experimental procedures for different objects and grating geometries.     

Analysis of CCD moiré pattern for micro-range measurements using the wavelet transform

A new approach based on the moiré theory and wavelet transform (WT) is proposed for measuring the micro-range distance between a charge-couple-device (CCD) camera and a two-dimensional reference grating. The micro-range distance is determined by measuring the pitch of the moiré pattern image, which is digitized by a CCD camera. A one-dimensional WT algorithm is applied to estimate the pitch of the moiré pattern. Experimental results prove that this technique is very efficient and highly accurate. The moiré range finder is an economic technique for measuring a micro-range distance.     

Calibration of high-frequency hydrophone up to 40 MHz by heterodyne interferometer

A calibration technique for high-frequency hydrophone utilizing a heterodyne interferometer is presented in this article. The calibration system is mainly composed of optical and signal processing modules. In the displacement measurement, a pellicle is mounted at the surface of water to avoid acousto-optical interaction. The phase modulated carrier signal is digitized and transferred to the computer, then processed by digital phase demodulation. A phase unwrapping algorithm is employed to remove ambiguity of the arctangent function and has proven effective in large displacement measurements. Pellicle displacement and voltage output of the hydrophone in focused ultrasonic field are processed by DFT to determine the amplitudes of the fundamental and harmonic components. Experiments show that the heterodyne technique can provide hydrophone calibration up to 40 MHz, with a slightly smaller sensitivity compared with the National Physical Laboratory (NPL) calibration results for most frequency ranges. Since the heterodyne technique is independent on assumptions about the geometry of the ultrasonic field and the performance of the transducer, it can be easily extended to high frequency and high power ultrasound measurement applications.     

Investigation of dynamic displacements of lithographic press rubber roller by time average geometric moiré

Geometric moiré fringe formation method is a classical well-established experimental technique with numerous practical applications. This paper proposes the application of time-average geometric moiré analysis for the determination of dynamic displacements of the lithographic press rubber roller. This optical measurement technique is a natural extension of double-exposure geometric moiré for the identification of dynamic displacements of vibrating elastic structures. Experimental investigations prove the validity and effective practical applicability of the method.     

De la microstructure du polymère à ses propriétés rhéologiquesFrom the microstructure of polymers towards their rheological properties

We extend the previous work by Benallal et al. on the relationship between structure and rheological properties of linear polymer melts. The aim of this paper is to quantify the effect of the chemical structure on the viscoelastic properties. We show that these properties are governed by the monomer dimensions and the interaction energy. To cite this article: A. Allal et al., C. R. Physique 3 (2002) 1451–1458.