Phase retrieval with transverse translation diversity: a nonlinear optimization approach
Phase retrieval with transverse translation diversity: a nonlinear optimization approach
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DOI：
10.1364/oe.16.007264
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发表时间：
2008-05-12
期刊：
影响因子：
3.8
通讯作者：
Fienup, James R.
中科院分区：
文献类型：
--
作者：
Guizar-Sicairos, Manuel;Fienup, James R.
我们开发并测试了一种非线性优化算法，用于解决具有横向平移分集的相位检索问题，其中在相对于已知照明模式平移物体后进行不同远场强度测量。关于物体、光照和平移的平方误差度量梯度的解析表达式允许物体和系统参数的联合优化。相对于先前报道的一种技术，这种方法实现了更好的重建。M. L.福克纳和J.M.罗登堡，宾夕法尼亚州Rev. Lett. 93, 023903(2004)]，当系统参数不准确或存在噪声时。探讨了该方法对小于照明模式的样本的适用性。(C) 2008美国光学学会。
We develop and test a nonlinear optimization algorithm for solving the problem of phase retrieval with transverse translation diversity, where the diverse far-field intensity measurements are taken after translating the object relative to a known illumination pattern. Analytical expressions for the gradient of a squared-error metric with respect to the object, illumination and translations allow joint optimization of the object and system parameters. This approach achieves superior reconstructions, with respect to a previously reported technique [H. M. L. Faulkner and J.M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004)], when the system parameters are inaccurately known or in the presence of noise. Applicability of this method for samples that are smaller than the illumination pattern is explored. (C) 2008 Optical Society of America.