A pupil aberration recovery method for Fourier ptychography based on annular illumination

Fourier ptychographic microscopy (FPM) is a computational imaging technique developed in recent years. The validity of the final reconstruction results is closely related to many systematic errors, among which the pupil aberration is a key one. Although the traditional FPM can recover the pupil function in the iterative process, it increases the dependence on data redundancy invisibly, and cannot satisfy the high-speed and low redundancy FPM reconstruction with few images. In this paper, a pupil function recovering method based on annular illumination is proposed, which only uses a small number of LEDs matching the NAobj for illumination. In addition, the Zernike polynomial is used to constrain the freedom degree of aberration, to ensure that the object and pupil can be recovered correctly with fewer data. The simulation results show that the proposed method can recover and correct the pupil function within 6 annular bright-field images, which greatly reduces the requirement of data redundancy and provides the possibility for high-speed aberration recovery based on FPM.

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