<title>Effects of reconstruction matrix and controller coefficients on performance of an adaptive optics system investigated by numerical simulation</title>

Abstract

Phase compensation effectiveness and long time period working stability are two most important performances of an adaptive optics (AO) system. Effects of reconstruction matrix and controller coefficients on these performances are investigated by means of a pure numerical simulation in this paper. A new modified reconstruction matrix is proposed and compared with other existing matrixes in practical application. It is shown that the recently proposed reconstruction matrix can produce better phase compensation results and much better long time period working stability in an AO system. Different reconstruction matrix can greatly affect the long time period working stability under certain conditions. Under some conditions, an AO system with a reconstruction matrix can work stably in a quite long time period, but a working instability can occur in a super-long time period. It is found that the controller coefficients have even greater effect on the long time period working stability in an AO system. The controller coefficient a1=l .00 is a marginally stable (sub-stable) condition for an AO system. When a1<1, the long time period working stability of an AO system is much improved.

Preliminary numerical simulation investigation of the cone effect in an adaptive optics system using a laser guide star

“…The configuration of the deformable mirror (DM) actuators and the Hartmann-Shack (HS) sensor subapetures in this AO system is same as that in Ref. [13].…”

“…Similar to in Ref. [13], the coupling factor between adjacent actuators is taken as 0.15; and the distance between the adjacent actuators is taken as 12 cm.…”

“…[13], we proposed a new approach to produce a modified reconstruction matrix and it was shown by a numerical simulation investigation that this matrix can produce better phase compensation effectiveness and much better long time period working stability in an AO system. This modified reconstruction matrix is utilized in this paper.…”

“…The present authors have been pursuing modeling and numerical simulation of atmospheric propagation of optical waves and an AO system since 1988. [9][10][11][12][13][14] In Ref. [9], a comprehensive theoretical model has been developed and coded into a numerical algorithm.…”

“…Based on our theoretical model and computer program, the effects of reconstruction matrix and controller coefficients on performances of an AO system and the interaction of the effects of noise and detection error with the dynamic control process in an AO system were investigated by a pure numerical simulation. 13,14 In this paper, the cone effect in astronomy with an AO system is investigated by means of a pure numerical simulation of atmospheric propagation of optical wave and an adaptive optics (AO) system including dynamic control process. It should be noted that in all the previous investigations of the cone effect which have utilized the analytical formulae, the dynamic control process in an AO system has not been included.…”