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基于多个分数阶次的复杂光场相位恢复算法
引用本文:曾发,谭峭峰,魏晓峰,向勇,严瑛白,金国藩.基于多个分数阶次的复杂光场相位恢复算法[J].中国激光,2006,33(12):621-1625.
作者姓名:曾发  谭峭峰  魏晓峰  向勇  严瑛白  金国藩
作者单位:1. 清华大学精密测试技术与仪器国家重点实验室,北京,100084
2. 中国工程物理研究院激光聚变研究中心,四川,绵阳,621900
基金项目:国家自然科学基金委员会-中国工程物理研究院联合资助项目;国家高技术研究发展计划(863计划)
摘    要:给出了一种基于多个分数阶次的复杂光场相位恢复迭代算法。首先利用输入面和两个较高分数阶输出面上的强度信息,恢复出输入面相位分布的轮廓,然后再利用输入面和两个较低分数阶输出面,进一步恢复出相位分布的细节。分别针对具有缓变相位、随机相位分布的光场,进行了二维相位分布的恢复,都得到了良好的恢复结果。最后在一维情形下分析了探测噪声和光路位置调整误差对算法稳定性的影响。

关 键 词:光计算  相位恢复  迭代算法  分数傅里叶变换  复杂光场
文章编号:0258-7025(2006)12-1621-05
收稿时间:2006-01-11
修稿时间:2006-06-29

Complex Optical Field Retrieved from Intensity Distributions on Several Fractional Fourier Transform Planes
ZENG Fa,TAN Qiao-feng,WEI Xiao-feng,XIANG Yong,YAN Ying-bai,JIN Guo-fan.Complex Optical Field Retrieved from Intensity Distributions on Several Fractional Fourier Transform Planes[J].Chinese Journal of Lasers,2006,33(12):621-1625.
Authors:ZENG Fa  TAN Qiao-feng  WEI Xiao-feng  XIANG Yong  YAN Ying-bai  JIN Guo-fan
Affiliation:1.State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing 100084, China;2. Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang , Sichuan 621900, China
Abstract:An iterative phase retrieval algorithm is put forward, which makes use of intensity distributions on the input plane and several fractional Fourier transform planes. The intensity distributions on the input plane and other two fractional Fourier transform planes with relatively high orders are utilized to retrieve the phase profile, then the phase detail is retrieved by using other two fractional Fourier transform planes with relatively low orders. Good retrieval performances are obtained for two-dimensional slowly varying phase distribution and random phase distribution. Finally, the influences of the measurement noise and the fractional order error to the stability of this algorithm are analyzed in one-dimensional case, respectively.
Keywords:optical computing  phase retrieval  iterative algorithm  fractional Fourier transform  complex optical field
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