title: Linear phase retrieval with a single far-field image based on Zernike polynomials.
abstract: Wavefront aberrations can be represented accurately by a number of Zernike polynomials. We develop a method to retrieve small-phase aberrations from a single far-field image with a Zernike modal-based approach. The difference between a single measured image with aberration and a calibrated image with inherent aberration is used in the calculation process. In this paper, the principle of linear phase retrieval is introduced in a vector-matrix format, which is a kind of linear calculation and is suitable for real-time calculation. The results of numerical simulations on atmosphere-disturbed phase aberrations show that the proposed Zernike modal-based linear phase retrieval method works well when the rms of phase error is less than 1 rad, and it is valid in a noise condition when the signal-to-noise ratio (SNR) >3.
authors.affiliation: Key Lab on Adaptive Optics, Chinese Academy of Sciences, P.O. Box 350, Chengdu, Sichuan 610209, China.
authors.forename: Min
authors.initials: M
authors.lastname: Li
authors.forename: Xin-Yang
authors.initials: XY
authors.lastname: Li