中国激光, 2015, 42 (12): 1208003, 网络出版: 2015-11-30   

基于剪切干涉的单幅干涉条纹相位恢复算法

Phase Retrieval Method of Single Interference Fringe Pattern Based on Shearing Interferometry
作者单位
齐齐哈尔大学计算机与控制工程学院, 黑龙江 齐齐哈尔 161006
摘要
单幅干涉条纹相位恢复算法中通过两次希尔伯特变换获得正弦分量和余弦分量,然后求出水平方向和垂直方向的相位斜率,再采用积分的方法对相位进行恢复,即可得到全场相位分布。然而,相位变化过快时得到的相位斜率不连续,此时就不能直接采用该方法进行相位恢复。针对这一弊端,将剪切干涉计量原理引入到相位恢复算法中,对包裹相位建立二维复光场,获得连续相位斜率的离散偏导,提出用三次积分法即可恢复原始相位。实验验证该方法不仅能够有效地解决相位变换过快和相位截断的影响,而且能较精确地恢复原始相位。
Abstract
The phase can be retrieved by the line integral of its gradient of horizontal and vertical directions, being calculated by the sine and cosine components, which are gained by Hilbert transform twice from a single carrier frequency interference fringe pattern. However, the result is not correct using the integral method when the gradient is discontinuous caused by fast phase change. Aiming at this problem, a two-dimensional optical field in the complex domain is built. By this way the principle of shearing interferometry is introduced to the digital phase retrieval to obtain a continuous phase gradient. The triple integral method is proposed to retrieve the original phase. Experimental results represent that the proposed method can solve the problems of phase discontinuity and fast phase change. The original phase can be retrieved more accurately.
参考文献

[1] 曾丽梅, 曹益平. 采用多特征窗口识别的散斑位移测量新方法[J]. 中国激光, 2009, 36(4): 949-953.

    eng Limei, Cao Yiping. New method of displacement measurement based on laser speckle using multi-characteristic windows[J]. Chinese J Lasers, 2009, 36(4): 949-953.

[2] 郭媛, 毛琦, 陈小天, 等. 双波长剪切散斑干涉法在复合材料缺陷检测中的应用[J]. 光子学报, 2015, 44(3): 0312001.

    Guo Yuan, Mao Qi, Chen Xiaotian, et al.. Applied research of dual-wavelength shearing shearography for flaws detection of composite material[J]. Acta Photonica Sinica, 2015, 44(3): 0312001.

[3] 周杰, 徐满平. 应用电子散斑测量位相物体的折射率[J]. 激光与红外, 2010, 40(2): 192-194.

    Zhou Jie, Xu Manping. Application of electronic speckle measurement of the refractive index of phase objects[J]. Laser & Infrared, 2010, 40(2): 192-194.

[4] 吴禄慎, 万露萍, 李彧雯. 基于相位法的三维测量系统的相移误差分析[J]. 激光与红外, 2012, 42(9): 1040-1044.

    Wu Lushen, Wan Luping, Li Yuwen. Phase-stepping error analysis of 3D measuring system based on phase method[J]. Laser & Infrared, 2012, 42(9): 1040-1044.

[5] 邓丽军, 杨勇, 石炳川, 等. 基于相移量提取的两步相移数字全息术[J]. 中国激光, 2014, 41(2): 0209014.

    Deng Lijun, Yang Yong, Shi Bingchuan, et al.. Two-step phase-shifting digital holography based on extraction of phase shift[J]. Chinese J Lasers, 2014, 41(2): 0209014.

[6] 张敏, 唐峰, 王向朝, 等. 二维快速傅里叶变换干涉图相位提取误差分析[J]. 中国激光, 2013, 40(3): 0308002.

    Zhang Min, Tang Feng, Wang Xiangzhao, et al.. Phase retrieval errors analysis of interferogram using two dimensional fast Fourier transform method[J]. Chinese J Lasers, 2013, 40(3): 0308002.

[7] 郭媛, 毛琦, 陈小天, 等. 干涉条纹快速加窗傅里叶滤波方法的研究[J].光学学报, 2014, 34(6): 0612008.

    Guo Yuan, Mao Qi, Chen Xiaotian, et al.. Study of a fast windowed Fourier filtering method for interference fringes[J]. Acta Optica Sinica, 2014, 34(6): 0612008.

[8] 单小琴, 朱日宏, 李建欣. 基于二维傅里叶变换的单帧干涉图相位提取方法[J]. 应用光学, 2013, 34(5): 802-808.

    Shan Xiaoqin, Zhu Rihong, Li Jianxin. Phase extraction for single frame interferogram based on 2D Fourier transform[J]. Journal of Applied Optics, 2013, 34(5): 802-808.

[9] Qian K, Seah H S, Asundi A K. Algorithm for directly retrieving the phase difference: a generalization[J]. Opt Eng, 2003, 42(6): 1721- 1724.

[10] 钱晓凡, 张永安, 李新宇, 等. 基于掩膜和最小二乘迭代的相位解包裹方法[J]. 光学学报, 2010, 30(2): 440-444.

    Qian Xiaofan, Zhang Yong′an, Li Xinyu, et al.. Phase unwrapping algorithm based on mask and least-squares iteration[J]. Acta Optica Sinica, 2010, 30(2): 440-444.

[11] 刘国林, 独知行, 薛怀平, 等. 卡尔曼滤波在InSAR 噪声消除与相位解缠中的应用[J]. 大地测量与地球动力学, 2006, 26(2): 66- 70.

    Liu Guolin, Du Zhixing, Xue Huaiping, et al.. Application of Kalman filters to noise eliminating and phase unwrapping of InSAR[J]. Journal of Geodesy and Geodynamics, 2006, 26(2): 66-70.

[12] 向茂生, 李树楷. 用DCT进行最小二乘相位估值的求解[J]. 中国图象图形学报, 1998, 3(4): 269-272.

    Xiang Maosheng, Li Shukai. The solution for phase estimation of least square method using DCT[J]. Journal of Image and Graphics, 1998, 3(4): 269-272.

[13] 郭媛, 陈小天. 基于最小二乘相位解包裹改进算法的研究[J]. 中国激光, 2014, 41(5): 0508005.

    Guo Yuan, Chen Xiaotian. Study of improved phase unwrapping algorithm based on least squares[J]. Chinese J Lasers, 2014, 41(5): 0508005.

[14] Guo Yuan, Chen Xiaotian, Zhang Tao. Robust phase unwrapping algorithm based on least squares[J]. Opt & Lasers in Eng, 2014, 63: 25-29.

[15] 熊六东, 贾书海, 杜艳芬. 单幅载频条纹图的相位恢复新算法[J]. 光学学报, 2010, 30(1): 123-126.

    Xiong Liudong, Jia Shuhai, Du Yanfen. A novel algorithm for phase retrieval from a single carrier-frequency fringe pattern[J]. Acta Optica Sinica, 2010, 30(1): 123-126.

[16] 郭媛, 陈小天, 毛琦, 等. 单幅干涉条纹图相位提取新算法[J]. 激光与红外, 2015, 45(1): 94-98.

    Guo Yuan, Chen Xiaotian, Mao Qi, et al.. A novel algorithm for phase extraction from a single interference fringe pattern[J]. Laser & Infrared, 2015, 45(1): 94-98.

[17] 钱晓凡, 李斌, 李兴华, 等. 横向剪切最小二乘相位解包裹算法的改进[J]. 中国激光, 2012, 39(11): 1109002.

    Qian Xiaofan, Li Bin, Li Xinghua, et al.. Improvement of least-square phase unwrapping algorithm based on lateral shearing interferometry [J]. Chinese J Lasers, 2012, 39(11): 1109002.

[18] 王华英, 张志会, 赵宝群, 等. 欠采样包裹相位图的展开算法[J]. 强激光与粒子束, 2012, 24(10): 2311-2317.

    Wang Huaying, Zhang Zhihui, Zhang Baoqun, et al.. Unwrapping algorithm of under-sampled wrapped-phase map[J]. High Power Laser and Particle Beams, 2012, 24(10): 2311-2317.

[19] 范琦, 杨鸿儒, 黎高平, 等. 欠采样包裹相位图的恢复方法[J]. 光学学报, 2011, 31(3): 0310002.

    Fan Qi, Yang Hongru, Li Gaoping, et al.. Method for phase recovery from a single under sampled wrapped phase map[J]. Acta Optica Sinica, 2011, 31(3): 0310002.

郭媛, 吴全, 陈小天, 毛琦, 甄伟, 杨震. 基于剪切干涉的单幅干涉条纹相位恢复算法[J]. 中国激光, 2015, 42(12): 1208003. Guo Yuan, Wu Quan, Chen Xiaotian, Mao Qi, Zhen Wei, Yang Zhen. Phase Retrieval Method of Single Interference Fringe Pattern Based on Shearing Interferometry[J]. Chinese Journal of Lasers, 2015, 42(12): 1208003.

本文已被 4 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!