Comprehensive analysis of angle and focal anisoplanatism of turbulent atmosphere for laser guide star

To compensate atmospheric turbulent aberration adopting adaptive optics (AO) system, the effect of anisoplanatic error is unavoidable. With the spacial spectral filtering method, the single anisoplanatism and multiplex anisoplanatism are systemically studied, and series of general formulae are obtained. Based on these theories, the ratio of different Zernike mode component in angle or focal anisoplanatic error is analysed. Aiming at special AO system, the components of anisoplanatic error coming from different altitudinal atmosphere are studied. In practical application, the beacon and AO system run mode should be optimized according to practical intention.