The mass transfer process and the growth rate of NaCl crystal growth by evaporation based on temporal phase evaluation

The mass transfer process and the crystal growth rate have been proved to be very important in the study of crystal growth kinetics, which influence the crystal quality and morphological stability. In this paper, a new method based on temporal phase evaluation was presented to characterize the mass transfer process in situ and determine the crystal growth rate. The crystallization process of NaCl crystal growth by evaporation was monitored in situ by a Mach-Zehnder interferometer, and the absolute concentration evolution, the evaporation rate and the real-time supersaturation of solution were obtained using temporal phase analysis, which acted as a novel technique to extract phase variation along time axis recently. Based on the evaporation rate and the absolution concentration, a new method to calculate mass transfer flux during the crystal growth without the knowledge of the mass transfer coefficient was proposed, and then the crystal growth rate could also be retrieved under the hypothesis of cubic crystals. The results show that the crystal growth rate increases with the supersaturation linearly. It is in agreement with the diffusion theories, which presume that matter is deposited continuously on a crystal face at a rate proportional to the difference in concentration between the points of deposition and the bulk of solution. The method is applicable to the research of crystallization process based on evaporation or vapor diffusion of which the precise conditions of nucleation and supersaturation are usually unknown because of the complexity of the evaporation rate and crystal growth rate.     

A simple Abel inversion method of interferometric data for temperature measurement in axisymmetric medium

In this work, we describe a simple method of Abel inversion for temperature measurement in a natural convection axisymmetric flow. The essence of the method is that the measured lateral fringe shift profile is fitted with a polynomial with only even powers and then Abel inverse integral is evaluated analytically. This technique is compared with recent existing methods to test the accuracy and error propagation using a simulated interferogram of natural convection flow below a downward-facing heated horizontal disk in air. For this comparison, lateral fringe profiles are simulated using temperature fields computed by solving Navier Stokes and energy equations. Through random-number generation, noise profile is artificially added to the simulated noise-free lateral fringe shift profile. The results showed that the proposed technique for Abel inversion leads to accurate temperature profiles when the lateral fringe shift profile is fitted with even-power polynomials having degrees ranging from 20 to 30.     

数字全息干涉法用于变形测量

介绍了数字全息干涉法的原理,针对激光散斑噪声对包裹干涉相位图样的影响,将小波去噪分析用于图样预处理,可以提高解相精度.用该方法对四周固定、中心加载典型试件的位移进行了测试.实验结果表明,该方法简单、快速、可行.     

Testing a large aspheric surface based on analysis of scanning 3D interferogram

A new method based on new reconstruction algorithm and new interferogram fringe analysis was proposed for testing a large aspheric surface. In the testing process, firstly, the interferometer or the tested aspheric surface was shifted relatively for measurement of the whole aperture of the tested aspheric surface to obtain a series of interferograms. Then these interferograms were analyzed to extract the best matching point, where the annular sub-surface was tangent with the corresponding reference sphere of the reference wavefront. Finally, the wavefront aberration of the whole aperture was figured out to describe the deformation information of the tested surface. Without any additional null optical elements, this method can perform the measurement directly. So, this method provides an effective and convenient means of testing the large-aperture aspheric surface. The mathematical model of this method is described, and the results of simulation tests are presented to verify it.     

High-precision technique for in-situ testing of the PZT scanner based on fringe analysis

A technique based on fringe analysis is presented for the in-situ testing of the PZT scanner, including the end rotation analysis and displacement measurement. With the interferograms acquired in the Twyman-Green interferometer, the testing can be carried out in real time. The end rotation of the PZT scanner and its spatial displacement deviation are analyzed by processing the fringe rotation and interval changes; displacement of the PZT scanner is determined by fringe shift according to the algorithm of template-matching, from which the relation between the driving voltage and displacement is measured to calibrate the nonlinearity of the PZT scanner. It is shown by computer simulation and experiments that the proposed technique for in-situ testing of the PZT scanner takes a short time, and achieves precise displacement measurement as well as the end rotation angle and displacement deviation measurement. The proposed method has high efficiency and precision, and is of great practicality for in-situ calibration of the PZT scanner.     

基于双边带调制的频率扫描干涉型激光测距技术

提出并论证了一种基于双边带调制的双扫频干涉测距技术,利用电-光双边带调制产生的-1和+1阶边带分别作为扫描方向相反的两个扫频信号,在接收端各获得一个频率与相对距离相关的拍频信号,通过将这两个拍频信号相乘的方式来减小由光路中扰动引起的测量误差.利用Optisystem软件进行系统仿真,结果表明,该方法能够有效抑制由于光路中扰动产生的测量误差.设计了实验验证系统,在光路中引入小幅振动作为扰动时,该方法对扰动的抑制比超过14dB,有效地提升了测距准确度.     

Digital speckle interferometry for assessment of surface roughness

In this work, the principle of interferometry is used to assess the surface roughness of the machined surfaces. Interferometry produces an interference fringe pattern when two or more light waves interact with each other. It is one of the important tool for precision optical metrology and testing. Well-known advantages of the phase shifting interferometry include high measurement accuracy, rapid measurement, good result even with low contrast fringes and that the polarity of the wave front can be determined. In fringe projection techniques, a known optical fringe pattern is projected onto the surface of interest. The fringe pattern on the surface is perturbed in accordance with the profile of the test surface, thereby enabling direct derivation of surface profile.In this work, an attempt has been made to assess the surface roughness using a speckle fringe analysis method of five frame phase shift algorithm for machined surface (ground surface). As these fringes are too noisy, advanced filtering technique has been used so as to reduce noise and to get improved wrapped phase map from the phase shifted fringes. A phase unwrapping software has been developed using discrete cosine transform (DCT) to generate the three-dimensional (3-D) profiles. Finally, it is compared with R_a values measured using a mechanical stylus instrument, showing good agreement.     

Multi-step phase-shifting algorithms insensitive to linear phase shift errors

We describe and analyse a group of multi-step phase calculation algorithms for evaluation of interferometric measurements using the phase-shifting technique. Phase-shifting algorithms are proposed, with a constant but arbitrary phase shift between captured frames of the irradiance of the interference field. The algorithms are similarly derived as so called Carré algorithm. The phase evaluation process is not dependent on linear phase shift errors. An advantage of the described algorithms is their ability to determine the phase shift value at every point of the detector plane. Moreover, a complex error analysis of proposed algorithms is performed and the algorithms are compared to several common error compensating phase stepping algorithms.     

长度测量中干涉条纹的自动识别技术研究

利用激光干涉与数字图像处理技术以及应用FFT分析干涉条纹方法,分析并解决了测量端面长度标准中条纹图的处理技术,应用这种方法不但提高了测试过程的自动化程度,而且大大地提高了测量结果的精度,并给出了最典型的端面长度标准量块的干涉条纹小数部分的实测结果.     

Unambiguous measurement of surface profile using a Sagnac interferometer with phase feedback

The fringe profiles from a two beam interferometer with phase feedback are almost unambiguous over a range of 2π or more. This allows phase and therefore surface profile to be determined directly from output intensity of an interferometer. In this paper we describe how feedback can be applied to a polarisation Sagnac common path interferometer using a parallel aligned nematic liquid crystal spatial light modulator. Initial experiments have shown that the device is capable of measuring profiles to accuracies greater than one tenth of a wavelength.