Linear mathematical model for the unique solution of 3D ptychographic iterative engine  

作　　者：吴丽青 齐乃杰 昌成成 陶华 何小亮 刘诚 朱健强 Liqing Wu;Naijie Qi;Chengcheng Chang;Hua Tao;Xiaoliang He;Cheng Liu;Jianqiang Zhu(Key Laboratory of High Power Laser and Physics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China;National Laboratory on High Power Laser and Physics,China Academy of Engineering Physics,Chinese Academy of Sciences,Shanghai 201800,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]Key Laboratory of High Power Laser and Physics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China [2]National Laboratory on High Power Laser and Physics,China Academy of Engineering Physics,Chinese Academy of Sciences,Shanghai 201800,China [3]University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Chinese Optics Letters》2024年第5期1-7,共7页中国光学快报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(No.61827816).

摘　　要：Diffraction intensities of the 3D ptychographic iterative engine(3PIE)were written as a set of linear equations of the selfcorrelations of Fourier components of all sample slices,and an effective computing method was developed to solve these linear equations for the transmission functions of all sample slices analytically.With both theoretical analysis and numerical simulations,this study revealed the underlying physics and mathematics of 3PIE and demonstrated for the first time,to our knowledge,that 3PIE can generate mathematically unique reconstruction even with noisy data.

关 键 词：3D imaging 3D ptychographic iterative engine linear equation group unique solution 

分 类 号：O439[机械工程—光学工程] TP391.41[理学—光学]