A Unified Approach to Analysing the Anisoplanatism of Adaptive Optical Systems

Method of Estimation of Turbulence Integral Parameters

“…Eff (the total phase variance σ 2 φ with the piston removed or both the piston σ 2 P and the tilt σ 2 TA removed, i.e., σ 2 Eff = σ 2 φ −σ 2 P (−σ 2 TA )) is such a P d [3,[7][8][9]. For natural guide star adaptive optics (NGS AO), it is well known that σ 2 φ = (θ/θ 0 ) 5/3 , and one can easily derive σ 2 P = 4.25 σ 2 TA = 4.25 (θ/θ TA ) 2 for small angles, where θ TA is the tilt isoplanatic angle [1,3,17]. Therefore, if θ TA can be measured along with θ 0 , one can obtain the effective phase variance in NGS AO using the relationship σ 2 Eff = (θ/θ 0 ) 5/3 − 4.25(θ/θ TA ) 2 (−(θ/θ TA ) 2 ).…”