Coordination of primary mirror parameters with corrector parameters in telescope with real-time correction of aberration

During the last years, a considerable advance has been made in the development both of optical telescopes with the real-time image correction and of the concept of the light-weight telescope primary mirror. In spite of the progress in the design of the phase correctors, their parameters (such as spatial resolution, speed, accuracy of the correction, noise level, transverse dimensions, etc.) still do not completely satisfy the requirements to the distortion correctors for the light-weight mirrors of large diameter. At the same time, the optical nonideality of the light-weight mirror is an adjustable parameter depending, in the main, on the degree of lightening of the mirror weight. Thus, for optimization of the process of the distortion correction in telescopes of this type, parameters of the primary mirror (PM) and corrector should be matched with each other. As the first step towards this optimization, we will discuss, in this presentation, the so-called cross-requirements to the PM and corrector, i.e., the requirements imposed on the corrector from the viewpoint of ease of fabrication of the PM and the requirements of the PM quality from the viewpoint of the best nonlinear-optical correctors available nowadays.