Influence of Geometrical Parameters of Reduction on the Deformation of Working Surface of the Off-Axis Segments of Axisymmetric Mirrors

Background. Weight reduction of mirrors is an important issue in the development of space-based optical systems. However, the study of the influence of weight reduction on the deformation of the mirror surface of the off-axis segments of axially symmetric mirrors and methods of its calculation is given little attention. Objective. Development of the algorithm for calculating the deformation of the working surface of the off-axis segments of axisymmetric mirrors, and analysis of the impact of different types of weight reduction and geometrical parameters on deformation of the working surface of the off-axis segments of axially symmetric mirror by gravity, using the algorithm developed. Methods. Four work stages of the developed algorithm are described and the influence of the geometric parameters of weight reduction on the deformation of working surface of the off-axis segments of axially symmetric mirrors is studied. Results. It was determined that the developed algorithm can be used to determine the deformation of any of the optical surfaces, the ratio at which related parties are less to more is greater 0.3. The influence of geometrical dimensions on deformation of the working surface of the off-axis segments of axially symmetric mirrors was analyzed by developed algorithm and recommendations on the use of various types of weight reduction was given. Conclusions. In the process, an algorithm for determining the deformation of the working surfaces of optical components was proposed and the influence of the geometric parameters of weight reduction on the working surface of the off-axis segments of axially symmetric mirrors was studied.