Abstract

Based on the wave theory of aberrations, the Point Spread Functions (PSFs) of optical synthetic aperture imaging system disturbed by some aberrations, such as Piston error, Tilt error, spherical aberration, astigmatism, were analyzed. Additionally, the analytical expressions of the central value of the PSF (CVPSF) on Piston error and Tilt error were deduced, and were simulated by MATLAB. The results show that when one sub-aperture of an N identical sub-apertures synthetic array is disturbed by Piston error, the PSF fluctuates periodically. Furthermore, the PSF decreased by Piston error, spherical aberration or astigmatism can be significantly compensated by defocus. And CVPSF is improved from 0.60 to 0.93 for the spherical aberration after it is compensated by defocus.

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