title: A simple method for evaluating the wavefront compensation error of diffractive liquid-crystal wavefront correctors.
abstract: A simple method for evaluating the wavefront compensation error of diffractive liquid-crystal wavefront correctors (DLCWFCs) for atmospheric turbulence correction is reported. A simple formula which describes the relationship between pixel number, DLCWFC aperture, quantization level, and atmospheric coherence length was derived based on the calculated atmospheric turbulence wavefronts using Kolmogorov atmospheric turbulence theory. It was found that the pixel number across the DLCWFC aperture is a linear function of the telescope aperture and the quantization level, and it is an exponential function of the atmosphere coherence length. These results are useful for people using DLCWFCs in atmospheric turbulence correction for large-aperture telescopes.
authors.affiliation: State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin, 130033, China.
authors.forename: Zhaoliang
authors.initials: Z
authors.lastname: Cao
authors.forename: Quanquan
authors.initials: Q
authors.lastname: Mu
authors.forename: Lifa
authors.initials: L
authors.lastname: Hu
authors.forename: Xinghai
authors.initials: X
authors.lastname: Lu
authors.forename: Li
authors.initials: L
authors.lastname: Xuan
mesh_terms: D016477:Artifacts; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D007909:Lenses; D050866:Liquid Crystals; D055096:Optical Devices; D012031:Refractometry / Q000295:instrumentation*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation*