Effects of Reconstruction Matrix and Controller Coefficients on Performances of an Adaptive Optics System Investigated by a Numerical Simulation

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 a(1)=1.00 is a marginally stable (sub-stable) condition for an AO system. When a(1)<1, the long time period working stability of an AO system is much improved