改进的基于相位梯度最小化的相位补偿方法  

Improved Phase Compensation Method Based on Phase Vibration Minimization

作　　者：董昭 王文健 王华英 张子健 王杰宇 雷家良 张小磊 Dong Zhao;Wang Wenjian;Wang Huaying;Zhang Zijian;Wang Jieyu;Lei Jialiang;Zhang Xiaolei(School of Mathematics and Physics Science and Engineering,Hebei University of Engineering,Handan,Hebei 056038,China;Hebei Computational Optical Imaging and Photoelectric Detection Technology Innovation Center,Handan,Hebei 056038,China;Hebei International Joint Research Center for Computational Optical Imaging and Intelligent Sensing,Handan,Hebei 056038,China)

机构地区：[1]河北工程大学数理科学与工程学院,河北邯郸056038 [2]河北省计算光学成像与光电检测技术创新中心,河北邯郸056038 [3]河北省计算光学成像与智能感测国际联合研究中心,河北邯郸056038

出　　处：《中国激光》2021年第24期151-157,共7页Chinese Journal of Lasers

基　　金：河北省自然科学基金(F2018402285);河北省高等学校科学技术研究项目(QN2020426);邯郸市科学技术研究与发展计划(19422083008-69)。

摘　　要：提出了一种改进的基于相位梯度最小化的相位快速自动补偿方法。所提方法利用Zernike多项式拟合像差,并将评价函数写作含多项式梯度的表达式,采取拟牛顿法进行优化得到了对应系数,从而实现了相位补偿。在优化过程中,所提方法可实时给出评价函数与各多项式系数之间的导数,有效提高了优化速度。此外,所提方法还可利用采样技术,进一步提高处理速度。分析和实验结果表明,所提方法速度快、精度高,适用于高速动态全息显微成像。Objective This work presents an improved phase vibration minimization(PVM)-based method for fast compensating phase aberrations in digital holographic microscopy.Polynomials are used to fit the aberrations,and the quasi-Newton optimization procedure is applied to find their coefficients.During the optimization procedure,gradients of the merit function value related to the coefficients are offered.The results of simulations and experiments show that this treatment makes the procedure fast and more reliable.Furthermore,the sampling technique is used to improve the processing speed even further.The analysis and experimental results reveal the improved method that can meet the demand for robustness to noise in everyday use.With high speed and accuracy,this method is suitable for dynamic holographic microscopic imaging.Methods This work presents an improved PVM-based method for fast compensating phase aberrations in digital holographic microscopy.We use polynomials,such as standard and Zernike polynomials,to fit the phase aberration φ_(a).To further improve the optimization speed,formula(4)is rewritten.The rewritten formula is shown in formula(7).It is more convenient to use software such as MATLAB to compute the derivative of the optimization coefficient and then use the fminunc function in MATLAB to carry out the optimization process using the quasi-Newton method and evaluation function(7).The obtained aberration coefficient {a_(i)} can expand the formula(2)to obtain the compensated phase.In addition,this method can conveniently use sampling technology to increase the processing speed further.Results and Discussions Simulative methods are used to verify the gradient-offered PVM-based method.This method is more accurate than the original method(Table 1).The main reason is that the maximum number of iterations set by MATLAB is 900.When the derivative of the optimized function with respect to the parameter to be optimized is not provided,the original method’s calculation process fails to converge.The improved method

关 键 词：全息 相位畸变补偿 数字全息显微 优化算法 ZERNIKE多项式 

分 类 号：O436[机械工程—光学工程]