A white-light interferometer using a lamp source and heterodyne detection with acousto-optic modulators

A heterodyne technique for white-light interferometer with a lamp source, which uses two acousto-optic modulators, is developed for high-sensitivity detection of weak light. By using converging input beams input into a Michelson interferometer with spherical mirrors, the spectral dependence of the modulators is canceled, and the white-light heterodyne interference fringes are generated at 200 kHz. Using a tandem interferometer, the object surface which has a low surface reflectivity of less than 10⁻⁴ was detected with a good signal-to-noise ratio.     

A simple way for improving the identification of the central fringe in a fibre-optic white-light interferometer

A white-light fibre-optic interferometer working in the spatial domain, using a special three-peak-wavelength LED as the light source, is presented. Based on the Gaussian spectrum distribution function, a simple spectrum decomposing method has been used to describe the special three-peak-wavelength LED source. Experimental and theoretical analyses show that the special three-peak-wavelength LED source can be used in white light interferometry to simplify the problem of central fringe identification.     

Application of multiple-beam white-light fringes for measuring the refraction and dispersion of mica

Multiple-beam white-light interference fringes are applied to measure the two refractive indices of a mica sample and their dispersion across the visible spectrum. In addition, the mica birefringence and its dispersion are measured. A mica sample of dimensions 2 × 5 mm² and an immersion liquid of nearly the same refractive index are used. Only a single shot interferogram is needed to measure all the aforementioned parameters. Cauchy's and a modified single-term Sellmeier dispersion formula are used for fitting the experimental data and extracting the parameters required.     

A precision analysis and determination of the technical requirements of an atom interferometer for gravity measurement

The influence of the wave-front curvature of Raman pulses on the measurement precision of gravitational acceleration in atom interferometry is analysed by the method of a transmission matrix. It is shown that the measurement precision of gravitational acceleration is largely dependent on the spot size of the Raman pulse, the temporal interval between Raman pulses and the optical path difference of the two counter-propagating Raman pulses. Moreover, the influence of Doppler frequency shift on the precision is discussed. In order to get a certain measurement precision, the requirement for the accuracy of frequency scanning of the Raman pulse to compensate for the Doppler frequency shift is obtained.      

基于光学三角原理的内径非接触测量方法

基于光学三角测量原理,提出了一种非接触测量内径的方法。对激光双光三角测量原理与单光三角测量原理进行了分析对比。采用单光三角测量原理设计了一种非接触式测量内径的光电测量系统。论述了系统的组成和总体结构,并通过实验对测量系统的精度进行了验证。结果表明,系统的测量误差不大于0.03mm,重复性测量精度优于±0.03mm。     

Dispersive white-light spectral interferometry including the effect of thin-film for distance measurement

A spectral-domain white-light interferometric technique is used for measuring distances in a Michelson interferometer with a mirror represented by a thin-film structure (TFS) on a substrate. A fibre-optic spectrometer is employed for recording spectral interferograms that include wide wavelength range effects of dispersion in a cube beam splitter and multiple reflection within the TFS. Knowing the effective thickness of the beam splitter, its dispersion and parameters of the TFS and substrate, the positions of the second interferometer mirror are determined precisely by a least-squares fitting of the theoretical spectral interferograms to the recorded ones. We apply the technique to the beam splitter made of BK7 optical glass and to a uniform SiO₂ thin film on a silicon wafer. We compare the results of the processing that include and do not include the effect of the TFS.     

用液芯柱透镜快速测量液相扩散系数-折射率空间分布瞬态测量法

本文提出了一种快速测量液相扩散系数的方法, 该方法以液芯柱透镜作为液相扩散池和成像元件, 利用柱透镜成像过程中特有的折射率空间分辨测量能力, 只需记录一幅瞬态扩散图像, 根据图像的像宽与折射率的对应关系, 基于扩散定律快速计算出液相扩散系数. 实验研究了室温(25℃)下乙二醇和纯水间的扩散过程, 用折射率空间分布法测量了扩散系数, 和其他测量方法得到的结果进行了分析对比, 结果表明:用折射率空间分布法测量液相扩散系数具有数据采集耗时短(～20 ms)、测量速度快(<1 s)、精度高(相对误差<3%)和操作简单的特点, 为快速测定液相扩散系数提供了一种有效的新方法.     

The measurement of the diameter change of a piezoelectric transducer cylinder with the white-light interferometry

The measurement of the diameter change of a piezoelectric transducer (PZT) cylinder with the white-light interferometry is proposed and experimentally demonstrated. One arm of a Mach–Zehnder interferometer (MZI) is wrapped on the PZT cylinder, and the phase change of the interferogram of the MZI is used to determine the diameter change when a DC voltage is applied on the PZT cylinder. The Fourier transform white-light interferometry is used for recovering the phase change of the interferometer. The experimental results show that the diameter change resolution of 0.8 nm for the PZT cylinder with diameter of 40 mm is achieved.     

Design of a Michelson interferometer for the measurement of electrostrictive strains

In the field of quadratic electrostriction of non-ferroelectric materials, efforts to optimize interferometers for the accurate measurement of small strains are being undertaken because the displacements that have to be measured are very small (10⁻¹³m). Here, a design for a Michelson interferometer is proposed that combines a double-face detection scheme with a null method.     

Rigorous electromagnetic analysis of metallic cylindrical focusing micromirrors with high diffraction efficiency, achromatic aberration and long focal depth

In this paper, we propose a kind of metallic cylindrical focusing micromirrors (MCFMs) with parabolic profiles, and the focal performance is investigated based on rigorous electromagnetic theory and the boundary element method (BEM). Numerical results by the BEM show that the proposed MCFM possesses a high diffraction efficiency and axially achromatic aberration. In addition, through designing a modulating phase function, the MCFM holds long focal depth and high transverse resolution simultaneously. It is believed that the MCFM should have wide application prospects in micro-optical systems, such as micro solar concentrators.     

Study on the measurement of in-plane displacement of solid surfaces by laser Doppler velocimetry

Theoretical analysis and experiments prove that there is a random phase error in the measurement of the in-plane displacement of solid surfaces by laser Doppler velocimetry. This error will impede the accuracy of the measurement from being further improved to, for example, the region of several fractions of one order. In addition, the reason for the random signal dropout in the measurement is also studied and a method of extending the range in which the signal is maintained continuous is also given.     

Simulation of simultaneous measurement for red blood cell thickness and refractive index

Red blood cell (RBC) parameters are of great importance for diagnostic purposes. Using the simulation method, the variations of both the thickness and the refractive index of a RBC were investigated in a dual-medium quantitative measurement (DMQ), which is realized via phase-shifting digital holography with two types of cell media. Results show that both the calculated thickness and the calculated refractive index agree well with the original ones with an average relative deviation of 2.13% and of 0.12% in valid regions, respectively. The simulation for RBC will provide some guidance for experimental parameter setting and data processing in DMQ.     

Simultaneous strain and temperature measurement based on a photonic crystal fiber modal-interference interacting with a long period fiber grating

An alternative all-fiber sensor for simultaneous strain and temperature measurement based on a photonic crystal fiber (PCF) spliced between single-mode fibers cascaded with a long period grating (LPG) is proposed. By collapsing the air holes at two splicing regions along the PCF, a simple but effective modal-interference (MI) is occurred between the core and cladding modes of the PCF. Due to the different responses on the changes of strain and temperature on the MI and the cascaded LPG, the strain and temperature can be measured simultaneously. Experimental results show that the sensing resolution of 9.1 με in strain measurement is experimentally achieved over a range of 2640 με, while the temperature sensing resolution is 0.27 °C within a range of 30-100 °C.     

圆柱螺旋弹簧迟滞的检测和补偿

介绍一种利用微电容测量技术检测圆柱螺旋压缩弹簧迟滞和利用单片机技术对迟滞进行补偿的实验方法,该方法涉及螺旋机构、电子秤和拟合曲线的求法等.通过这一实验,能帮助学生理解真实材料在一定程度上存在迟滞现象,掌握变极距电容传感器的概念,提高知识的综合应用能力和设计动手能力.     

Instrument forward model of the modified Sagnac interferometer for atmospheric wind measurement

The instrument forward model of the modified super-wide-Sagnac imaging interferometer based on liquid crystals on Silicon (MSASII-LCoS) is developed as an integrated code package with Matlab language to simulate the images of satellite observations. There are five sub-models in the forward model including radiation model of O(¹S), orbit attitude, filter, interferometer and array detector. The principle of each sub-model is described separately and then the overall forward model equation is derived. The four simulation images are obtained. Based on the integrated signal level for the daytime observations, the apparent measurement error of wind is less than 3 m/s and the signal noise ratio (SNR) is greater than 194 with a binning of 2 × 25 pixels at the tangent height range of 70-190 km.     

基于圆结构光照明和LED照明相结合的三维检测技术

针对孔内表面的检测问题,提出了一种新的基于结构光照明和LED照明相结合的三维检测技术。该方法主要包括三个步骤:首先通过圆结构光照明获取孔内表面的截面轮廓图像,并通过图像处理和系统标定得到当前截面上局部区域的深度值;然后通过平面光照明得到孔内表面的平面图像,并在分析成像关系的前提下,在对平面图像进行坐标变换后得到孔内表面的展开图像,结合图像处理算法,提取展开图像的局部区域的平面尺寸信息;最后将圆结构光数据和LED光源数据变换到同一全局坐标系下,得到内表面的三维信息。     

A comprehensive ESPI based system for combined measurement of shape and deformation of electronic components

This paper describes a very simple and reliable procedure for measuring shape and deformation of electronic components with a single experimental set-up. The procedure is based on two electronic speckle pattern interferometry (ESPI) techniques referred to as conventional ESPI and phase shifting ESPI (PS-ESPI). The present research is motivated by the fact that mismatch in thermal expansion coefficients of the different materials included in electronic packaging (EP) may cause mechanical failures since thermal stresses will change sharply through subsequent loading cycles. ESPI is particularly suitable for measurements on EP since it allows us to perform non–contact testing of non-planar heterogeneous surfaces. It is apparent that gathering detailed topographic information will certainly help us to measure accurately surface deformations of EP along with modeling correctly numerical analysis.As is known, the accuracy of results obtained with ESPI may be significantly improved by phase shifting techniques (PST). Therefore, this paper compares the relative merits of different phase-stepping strategies in order to find which strategy will perform the best for the optical set-up utilized in the experiments. Preliminary investigations on a standard specimen under three-point-bending served to choose properly the optical set-up and phase-stepping procedure which yield the best fringe visibility. Four-phases achieved the best fringe visibility and the minimum number of invalid pixels.These information have been utilized in the experimental campaign on standard and surface mounted technology (SMT) electronic components. ESPI and PS-ESPI have been used for analyzing the transient state and the steady state of devices, respectively. From the experimental results obtained here, it appears possible to measure strains induced by thermal loading cycles. The experimental set-up, based on the Lendeertz's interferometer, proved itself also able to contour specimen surface at a good level of detail. Remarkably, by using the same set-up for deformation and shape measurements we can preserve the pixel by pixel relationship between displacements and surface depth which will hold true if correlation between different exposures is not destroyed.The results obtained in this research justify using PS-ESPI in order to understand better failure mechanisms of electronic components. This fact along with the exact knowledge of object shape may be particularly useful in the different design stages (including FEM modeling and analysis) of electronics for special applications.     

A phase quadrature interferometer for measuring the small optical rotation angle of a chiral medium

The passage of a linearly polarized beam through a chiral material and a phase retarder will induce a phase difference between the s and p polarizations of the beam. In this study, a phase quadrature interferometer is designed to measure the phase difference variation proportional to the optical rotation. The proportionality constant (or measurement sensitivity) can be greatly enhanced by setting the retardation of the phase retarder close to 0° or 180°. The experimental results demonstrate that with our system we can obtain a measurement resolution for the rotational angle of better than 3.5° × 10⁻⁴. This method has several advantages such as a simple optical setup, easier operation in real time, and low cost. In addition, due to the common-path arrangement, surrounding noise can be eliminated.