[1] YANG G H, HWANG H E, HAN P. Spectral intensity distribution of a time dependent Gaussian pulsed beam from a circular aperture in the near-field diffraction[J]. Optical Review, 10, 19-23(2003).

[3] SHEPPARD C J R, COOPER I J. Fresnel diffraction by a circular aperture with off-axis illumination and its use in deconvolution of microscope images[J]. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 21, 540-545(2004).

[4] SHEVCHENKO A, BUCHTER S C, TABIRYAN N V, et al. Self-focusing in a nematic liquid crystal for measurements of wavefront distortions[J]. Optics Communications, 232, 439-442(2004).

[5] YANG Y, LI Y. Spectral shifts and spectral switches of a pulsed Bessel–Gauss beam from a circular aperture in the far field[J]. Optics & Laser Technology, 39, 1478-1484(2007).

[6] SONG Q, ISOBE K, MIDORIKAWA K, et al. Resistance to optical distortions in three-dimensional interferometric temporal focusing microscopy[J]. Optics Communications, 430, 486-496(2019).

[7] FRIED D L. Statistics of a geometric representation of wavefront distortion[J]. JOSA, 55, 1427-1435(1965).

[8] BAKER A C, HUMPHREY V F. Distortion and high‐frequency generation due to nonlinear propagation of short ultrasonic pulses from a plane circular piston[J]. The Journal of the Acoustical Society of America, 92, 1699-1705(1992).

[9] [9] SPRAWKA K, SZCZYPIŃSKI P M. Simulat f modelling confocal microscope disttions[C]International Conference on Infmation Technologies in Biomedicine. Cham: Springer, 2019: 7990.

[10] TÖRÖK P, VARGA P, NEMETH G. Analytical solution of the diffraction integrals and interpretation of wave-front distortion when light is focused through a planar interface between materials of mismatched refractive indices[J]. JOSA A, 12, 2660-2671(1995).

[12] JANSSEN A J E M. New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory[J]. Journal of the European Optical Society-Rapid Publications, 6, 11028(2011).

[13] ZHANG S, LI X, JEONG H. Analytical diffraction corrections for circular focused transducers expressed using the multi-Gaussian beam model[J]. Acta Acustica United with Acustica, 103, 717-720(2017).

[14] PIETSCH R A, SOJKA P E, KING G B. Correcting malvern particle size measurements for phase distortion[J]. Atomization and Sprays, 2, 73-85(1992).

[15] [15] HU Lejia. Aberration crection method based on wavefront detection deep learning in microscopic system [D]. Hangzhou: Zhejiang University, 2021.

[16] [16] WEN Ming. Active optical crection wavefront compensation method f offaxis reflection system [D]. Beijing: University of Chinese Academy of Sciences, 2021.