Abstract
Simple analytical expressions for parameter Strehl of ground-based astronomical telescope: (i) without adaptive correction, (ii) phase correction with use single laser guide star, (iii) phase correction with use multi-guide stars (square matrix system of guide stars with variable number of elements) are obtained. Models of the vertical dependence of the structure parameter of refractive index of the turbulent atmosphere for various sites are used in the calculations. Modal phase correction is considered to large aperture ground-based telescope with multi-guide stars. Wave aberrations presented in the in terms of Zernike polynomials are used to calculate the angular correlation of modal components of phase fluctuations of optical radiation propagating in the turbulent atmosphere. The size of the isoplanatic area in an adaptive optical system is studied. The influence of the model of vertical profile of the structure parameter of atmospheric refractive index fluctuations, the outer scale of atmospheric turbulence, and the size of receiving aperture of a telescopic system are analyzed. Requirements on bandwidth of adaptive optical system for effective correction are formulated.
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