Open AccessTemporal statistics of residual wavefront variance of an adaptive optics system
Author(s) -
Jian Huang,
Hong Zhou,
Jinsheng Yang,
Chao Liu,
Hao Xian
Publication year - 2019
Publication title -
journal of optics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.918
H-Index - 95
eISSN - 2040-8986
pISSN - 2040-8978
DOI - 10.1088/2040-8986/ab52eb
Subject(s) - adaptive optics , wavefront , optics , deformable mirror , residual , wavefront sensor , probability density function , physics , noise (video) , stability (learning theory) , variance (accounting) , computer science , algorithm , mathematics , statistics , artificial intelligence , accounting , machine learning , business , image (mathematics)
We present the probability density function (PDF) for the residual wavefront variance of an adaptive optics system that includes control error, the fitting error of a deformable mirror, and Hartmann sensor detecting noise. The PDF is directly connected to adaptive optics system parameters and the spatiotemporal strength parameters of atmospheric turbulence, and it can be described as a generalized Chi square distribution. Our results provide a more precise theory for adaptive optics systems compared to the current theory based on the ensemble average. Thus, this study can contribute to the development of high-resolution and high-stability adaptive optics systems for astronomy and optical communications in the atmosphere.