基于改进Goldstein枝切法的傅里叶变换轮廓术

Goldstein枝切法通过连接残差点生成枝切线以优化相位展开路径,枝切线的总长度越短,相位展开的结果越好。然而,该方法构造的枝切线无法确保总长度最短且容易闭合,造成部分区域相位未能正确展开,从而影响重构精度。因此,提出一种基于改进Goldstein枝切法的傅里叶变换轮廓术。通过构建加权二分图,将构造总长度最短的枝切线问题转化为最大权匹配问题。采用Kuhn-Munkres算法求解最大权匹配问题,得到最短的枝切线,提升重构精度。仿真和实验结果证明了所提方法的有效性。     

可调谐准相位匹配高效宽带二次谐波转换

高效宽带二次谐波转换在光通信、信号处理和光谱学等很多领域都有重要的应用.通常高效宽带二次谐波转换的研究都集中在几个波长,为了得到可调谐准相位匹配高效宽带二次谐波转换,理论分析了准相位匹配和群速度匹配条件.在此基础上,分别计算了0型和Ⅰ型准相位匹配情况下,温度对5 mol%掺杂氧化镁周期性极化铌酸锂和周期性极化铌酸锂晶体准相位匹配高效宽带二次谐波转换的影响.对于5 mol%掺杂氧化镁周期性极化铌酸锂晶体,在0型和Ⅰ型准相位匹配情况下,分别得到了调谐宽度15 nm和341 nm的可调谐准相位匹配高效宽带二次谐波转换;对于周期性极化铌酸锂晶体,在0型和Ⅰ型准相位匹配情况下,分别得到了调谐宽度44 nm和98 nm的可调谐准相位匹配高效宽带二次谐波转换.拓展了准相位匹配高效宽带二次谐波转换的波长范围.     

AgGaSe_2晶体差频产生可调谐太赫兹波的理论研究

基于单轴晶体中三波互作用的共线相位匹配技术,采用CO2激光器泵浦非线性晶体AgGaSe2,数值计算出在oee类和oeo类相位匹配条件下,差频产生太赫兹波的相位匹配角、走离角、允许角和有效非线性系数。计算结果表明:两类相位匹配太赫兹波可调谐的范围都非常宽,而且走离角都在1°以下,允许角足够大。在绝大部分太赫兹波区域,oee类匹配有效非线性系数远大于oeo类匹配,实验中适合采用oee类相位匹配方式。     

双轴晶体主平面上倍频的相位匹配参量

根据折射率椭球方程及双光轴晶体中光波的传播与偏振特性，分析双轴晶体在主平面内激光倍频相位匹配的特性与方法，导出光波在主平面上传播时倍频的相位失配关系；给出双轴晶体中容许相位匹配倍频的相位匹配角及混频的有效非线性系数deff的表达式。利用可相位匹配的类型、相位匹配角公式和有效非线性系数deff表达式的表，容易对任意一具体晶体在一给定波长求出实际能实现相位匹配的类型或偏振组合，算出相位匹配角，比较不同的相位匹配类型或偏振组合的有效非线性系数，选择最佳的相位匹配类型与方向。从相位失配关系可以计算晶体主平面内倍频的接收角、接收光谱宽度等特性参量。     

四波混频泵浦消耗过程的相位匹配条件研究

采用解析方法分析讨论泵浦消耗情形下的准相位匹配范围以及相位匹配条件的变化,并给出相位匹配条件的表达式.比较分析小信号近似和泵浦消耗两种情形下四波混频增益演化过程.研究表明,在泵浦消耗情形下,随转移功率的增大,满足总相位匹配的线性失配因子从负值逐渐趋于0,准相位匹配范围也越来越小;确定四波混频的准相位匹配范围,可简化波分复用或空分复用系统中级联四波混频的分析过程;小信号近似模型只适合于转移功率远小于泵浦功率的情形,满足总相位匹配的线性失配因子不依赖于光纤长度.     

非约束纯相位空间匹配滤波器设计研究

根据非约束相关匹配滤波器和纯相位匹配滤波器的概念,分析了非约束纯相位匹配滤波器的特性及其在光学相关识别中的应用,并与其他典型纯相位匹配滤波器进行了比较.模拟和实验结果表明,非约束纯相位匹配滤波器具有畸变容限大、相关峰高、算法简单的特点.用于光学相关识别是一种实用的空间匹配滤波器算法.     

相位测量轮廓术中时空结合的三频相位展开

提出了一种时空结合的三频时间相位展开方法,提高了三频时间相位展开方法的抑噪能力和相位展开的可靠度。在所提方法中,用灵敏度大于1的条纹代替传统三频时间相位展开法中灵敏度为1的条纹。通过计算这些条纹的截断相位,对其进行空间相位展开,并利用这些展开相位来指导其他两帧高灵敏度截断相位图的展开。与传统三频时间相位展开方法相比,在最高灵敏度条纹空间频率相同的情况下,所提方法缩小了三套条纹之间的频率倍数差,进而减小了噪声对相位展开的影响,提高了三频时间相位展开的可靠度和精度。     

相位失配法实现倍频稳定输出的模拟分析

 对BBO晶体Ⅰ类相位匹配倍频过程和KTP晶体XY平面内的Ⅱ类相位匹配倍频过程进行数值模拟，结果表明：Ⅰ类和Ⅱ类相位匹配倍频过程，都可通过引入适量的相位失配量实现稳定倍频输出；随着相位失配量的增大，实现稳定倍频输出所需的晶体长度都变小，倍频稳定输出起伏变小，倍频转换效率有不同程度的下降；相对于XY平面内的Ⅱ类相位匹配倍频过程，BBO晶体的Ⅰ类相位匹配倍频过程对相位匹配偏离角更敏感，且稳定输出时倍频转换效率更低。     

基于相位辅助的三维数字成像与测量

综述了基于相位辅助的三维数字成像与测量的核心技术.以相机模型为基础,建立了三维数字成像系统模型和三维测量网模型,并介绍了相关的标定技术.在主动立体视觉的理论框架下,综述了相位提取、相位展开、对应点搜索等单视点深度像重建的关键技术.介绍了深度数据后处理技术,其中包括多视点深度像的匹配、融合和简化的代表性算法.同时,对系统...     

基于二元光栅特征提取的相位展开方法

传统基于正弦光栅相位测量轮廓术中,相位因反正切运算而被截断在(-π,π]之间,需要利用菱形等相对相位展开算法进行展开,容易产生相位误差累计,甚至无法展开相位;或者利用投影辅助格雷码等额外结构光场来确定条纹级次,避免相位误差累计,实现相位的展开.提出了一种基于二元光栅特征提取的相位展开方法.通过投影一组相移二元光栅来实现...     

基于希尔伯特变换的干涉条纹相位解调新算法

提出了一种新的应用希尔伯特变换解调干涉条纹相位的算法,可以从单幅干涉条纹图中解调出全场相位分布.在实际应用中,常借助傅里叶变换实现希尔伯特变换算法,但是会忽略负频率成分,造成相位信息的丢失.对于相位分布非单调变化的干涉条纹,提出了一种判断函数,用来计算相位信息零频率点的分布.利用相位的零频率点分布构造了一个二元模板,使用该模板对本文提出的两次希尔伯特变换法产生的包裹相位图进行修正.对修正后的包裹相位图进行解包裹处理,可以得到连续的全场相位分布.对该方法用计算机模拟进行了验证.     

小波变换在载频条纹相位分析法中的应用研究

为了克服在非平稳信号分析中傅里叶变换的全局性缺陷,以及窗口傅里叶分析的单一分辨率和伸缩窗口傅里叶分析的尺度不确定性问题,采用伽博解析小波变换技术对空间载频光栅条纹进行相位分析,有效地提取出相对于载频条纹基频的完整相位信息,从本质上解决了上述问题。以三维轮廓术为例,与傅里叶分析进行了对比研究,给出了小波分析应用在空间载频条纹相位分析中详细而完整的理论推导证明、计算机模拟以及实验验证结果。     

通过相移条纹图差分测定相移量的方法

提出一种通过两幅相移条纹图相减来确定它们之间相移量的方法,进行了理论分析和实验验证。两幅相移条纹图相减并归一化后,得到的相移差分函数是振幅只与相移量有关的正弦函数,可以通过确定该函数最大极值的方法得到振幅,进而计算出相移量。介绍了极值直接查找法和平均法两种实现最大极值测量的方法。由于不使用傅里叶变换,减少了运算时间,既可以用于高空间频率条纹,也可以用于稀疏平行条纹,以及任意花样的条纹。在衬比度因子确定后,用这种方法就能够直接在空域内确定两幅条纹图之间的相移量,通过大量采样点进行统计计算,使结果达到很高的精度。将所得到的结果与用傅里叶变换方法得到的结果进行了比较,表明两种方法得到的结果具有完全相同的精度。     

Electron density measurement of laser-induced epoxy fiber reinforced polymer plasma北大核心CSCD

Interferograms of laser-induced epoxy fiber reinforced polymer plasmas are obtained through aMach-Zehnder interferometry system. An improved digital double-exposure Fourier method is applied to extractinitial wrapped phases from interferograms, and then an improved phase unwrapping algorithm based on a maskand a branch-cut method is proposed to solve the problem of phase unwrapping. After the inverse Abel transfor-mation of the unwrapped phase, spatial distributions of the electron density of laser-induced epoxy fiber rein-forced polymer plasma at various delays are acquired. Results show that the measured electron density of theplasma is mainly distributed on the order of 10^18 cm^3. The experiment also indicates that the total amount oflaser plasma electrons changes slightly within the recorded time and the change of the electron density is approx-imately inversely proportional to the change of the plasma volume.     

A simple method for phase wraps elimination or reduction in spatial fringe patterns

In this paper, we propose a simple method for processing a 2D wrapped phase map that contains a spatial carrier signal in order to completely eliminate, or greatly reduce, the number of phase wraps in the image. The 2D Fourier transform of the wrapped phase map is calculated. Then the spectrum is shifted to the origin in frequency space. After that, the inverse 2D Fourier transform is computed. Finally, a four-quadrant arctangent function is used to calculate the angle of the complex array that was produced by the inverse 2D Fourier transform. This produces a phase map with a smaller number of 2π phase jumps than the original phase map. In some cases, all of the phase wraps are eliminated and there is therefore no need to unwrap the resultant phase map. The reduction of the number of 2π phase jumps can reduce the execution time and improve the noise performance of some phase unwrapping algorithms such as the Flynn method. The validation of the proposed algorithm is demonstrated experimentally and also via computer-simulation.     

Knowledge-based hybrid expert system for automated interferometric data reduction

In order to accomplish the ultimate goal of automated interferogram evaluation, the utilization of artificial neural networks or expert systems in artificial intelligence has been expected. In this paper, a new PC-based fringe evaluation technique, which is based on hybridization of an expert system and a conventional fringe tracking method, is presented together with some test results of noise-ridden interferograms in high-speed aerodynamics. This technique incorporates algorithmic image processing with expert-system-driven knowledge manipulation in a single structure to provide an optimal solution for noisy interferogram evaluation. A new approach for regional phase unwrapping based on the technique is also proposed. This concept is applicable to interferometry such as phase shifting and Fourier transform that provides phase-wrapped information. It is based on conservative decision making in defining phase-wrapped regions by utilizing global/regional knowledge in the expert system. The approach is thus believed to reduce computation time and memory space in processing complex or noisy interferograms that require frequent operator interactions.     

激光诱导环氧玻璃钢等离子体电子密度测量（英文）北大核心CSCD

利用马赫曾德尔干涉测量系统采集到等离子体的激光干涉图像。为了提高数据处理的精度,应用了改进的数字式二次曝光傅里叶法从干涉图中获取了初始的缠绕相位,并采用改进的基于掩膜与枝切法的相位解缠算法对缠绕相位进行相位解缠。在对解缠相位做Abel逆变换后,得到了不同延时时刻下激光诱导环氧玻璃钢等离子体电子密度的空间分布。结果显示:测量得到的电子密度主要为1018 cm~(-3)数量级。实验表明,在记录的时间范围内激光等离子体的电子总数变化不大,且电子密度的变化与等离子体体积的变化大致成反比。     

Modulation analysis in spatial phase shifting electronic speckle pattern interferometry and application for automated data selection on biological specimens

In electronic speckle pattern interferometry (ESPI), for a fast and objective analysis of measurement data which occur with a high repetition rate, an automated data processing is of particular advantage. For this reason, investigations were carried out to determine if the modulation of speckle interferograms can be applied as a quality parameter for the selection of suitable interferogram data for further evaluation e.g. phase unwrapping when spatial phase shifting (SPS) is performed. Six methods for determining the modulation of speckle interferograms are characterised and compared. The applicability of the speckle interferogram modulation as a parameter for mask generation in the unwrapping process of the phase difference is demonstrated by the evaluation of measurement data obtained from experiments with a spatial phase shifting endoscopic ESPI system on a technical surface and on a human gastrectomy specimen.     

Two-dimensional multiscale windowed Fourier transform based on two-dimensional wavelet transform for fringe pattern demodulation

A two-dimensional multiscale windowed Fourier transform (2D-MWFT), based on two-dimensional Gabor wavelet transform (2D-GWT), for the phase extraction from a spatial fringe pattern in fringe projection profilometry is presented. First, the instantaneous frequencies on x and y direction of the modulated fringe pattern are determined by 2D-GWT, and then the local stationary lengths are obtained. The 2D-MWFT with different two-dimensional Gaussian windows whose width is set according to the local stationary length is preformed for each section of the modulated fringe pattern to achieve multiresolution analysis and phase demodulation. Comparing the result of the phase demodulated by 2D-GWT and two-dimensional windowed Fourier transform (2D-WFT) with that by 2D-MWFT in a numerical simulation, we show that the 2D-MWFT method is superior to these methods, especially for the local non-stationary signal with low frequency. The theory and the results of a simulation and experiment are shown.     

基于微分法的新傅里叶测量轮廓术

在傅里叶测量轮廓术中,为了得到真实相位值,必须进行相位解包裹处理的繁锁过程,为此提出一种可以直接获得真实相位值的新算法.这种算法的原理是空域中的微分(一阶)等效于频域中乘以一个线性因子,由此得到相位微分与光强的关系,求出相位的微分值后将其积分就获得相位的真实值.计算机仿真显示该方法确实有效可行.