Point Spread Function Simulation and Analysis when Optical Systems Encounter Micro-Vibration

This paper proposed a precise numerical method to calculate the point spread function (PSF) when optical systems encounter micro-vibration within a certain amount of exposure time. Conventional methods evaluate the modulation transfer function (MTF) degradation by using the image point displacement caused by micro-vibration. They ignore the change of MTF while the vibration is happening, which may cause errors if the amplitude of the vibration is large. The proposed method eliminates this error by integrating PSFs at each moment during the vibration. This method is well suited for computing the PSF of the spatial light propagating through an unstable optical system.