Transformed pupil-function misalignment calibration strategy for Fourier ptychographic microscopy.

Area of Science:

• Microscopy
• Optical Imaging
• Computational Imaging

Background:

• Fourier ptychographic microscopy (FPM) offers high-resolution and wide field-of-view imaging.
• Accurate illumination angles are crucial for FPM reconstruction.
• Conventional self-calibration methods struggle with mixed systematic errors.

Purpose of the Study:

• To develop an independent method for calibrating LED array positions in FPM.
• To address the challenge of separating positional parameters in self-calibration.
• To enhance the precision of FPM reconstruction.

Main Methods:

• Developed a pupil-function-based strategy for LED position calibration.
• Deduced the relationship between positional deviation and pupil function in the Fourier domain.
• Proposed a spatial domain criterion for misalignment detection and a boundary-finding scheme for parameter correction.

Main Results:

• Successfully demonstrated precise correction of LED array positional misalignment.
• Validated the pupil-function strategy through simulations and experiments.
• Showcased the method's ability to independently calibrate LED positions.

Conclusions:

• The pupil-function strategy enables accurate and independent calibration of LED array positions in FPM.
• This method overcomes limitations of conventional self-calibration techniques.
• Provides valuable insights for precise position correction in advanced microscopy.