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

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Diffraction intensities of the 3D ptychographic iterative engine[3PIE]were written as a set of linear equations of the self-correlations 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 numeri-cal 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.

3D imaging3D ptychographic iterative enginelinear equation groupunique solution

吴丽青、齐乃杰、昌成成、陶华、何小亮、刘诚、朱健强

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Key Laboratory of High Power Laser and Physics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,Chins

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

National Natural Science Foundation of China

61827816

2024

中国光学快报(英文版)
中国光学学会 中国科学院上海光学精密机械研究所

中国光学快报(英文版)

CSTPCD
影响因子:1.305
ISSN:1671-7694
年,卷(期):2024.22(5)