激光导引星自适应光学系统对大气湍流低阶像差校正效果分析

 在对大气湍流相位扰动进行Zernike多项式展开的基础上，通过对信标和目标光的Zernike系数相关因子的推导, 得到了实际自适应光学系统（系统存在时间滞后和有限的空间分辨率）对相位扰动各阶像差的校正残差公式。同时结合实际，对瑞利导星以及钠导星自适应光学系统补偿大气湍流各阶像差的能力进行了计算和分析，为实际自适应光学系统的设计提供了理论参考。

Turbulence-induced low order aberrations of optical wavefronts in partial adaptive compensation with Rayleigh beacon or sodium beacon

The residual phase error after correction for turbulence induced phase aberrations by a partially compensating adaptive optics system (with temporal lag and limited space resolution) is computed by using the phase expansion on the Zernike polynomials in this paper. The computation can be used to derive the maximum order of aberration to be corrected to get the most from the compensation. The partially compensating adaptive optics system with Rayleigh beacon or sodium beacon as reference is computed also in this paper. The results show, the system with sodium beacon requires higher space frequency than the system with Rayleigh beacon. And the off axis anisoplanatism effect due to the angular separation between the object and the beacon or the system temporal lag is more serious for the system with sodium beacon. The correction for high order aberration is more suitable for the system with sodium beacon than the system with Rayleigh beacon.