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：郭媛[1] 吴全[1] 陈小天[1] 毛琦[1] 甄伟[1] 杨震[1] 

机构地区：[1]齐齐哈尔大学计算机与控制工程学院,黑龙江齐齐哈尔161006

出　　处：《中国激光》2015年第12期199-205,共7页Chinese Journal of Lasers

基　　金：国家自然科学基金(61100103);黑龙江省自然科学基金(F201219);黑龙江省教育厅科研面上支持项目(12521600);齐齐哈尔大学青年重点基金(2011K-02);齐齐哈尔大学2014年研究生创新科研项目(YJSCX2014-026X);教育部海外归国人员启动基金

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。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.

关 键 词：测量 相位恢复 希尔伯特变换 剪切干涉 

分 类 号：O436.1[机械工程—光学工程]