Analysis of space-based large light concentration reflective surfaces with errors

Abstract

Space-based 100-m light condensing reflectors can undergo considerable structural deformations. The simple and accurate analysis of a concentrator system is important, especially when the system has large deformation errors. Further, slope error measurement of large reflectors is challenging. Gaussian distribution and other calculation models cannot accurately characterize the continuous changes of the actual model. Moreover, the analysis of fully fitted deformed surfaces is complicated. Therefore, this paper proposes a method for approximating surfaces by planers. The side lengths of the planes affect the speed and accuracy of modeling. Therefore, this paper analyzes the influence of the side length of the modeling plane and derives the allowable maximum side length of the plane. The model is also analyzed to ensure that its slope error does not change compared to the actual model during the modeling process. Spherical concentrators have great advantages in spatial concentrating owing to their rotational symmetry. Herein, the error model of a spherical low-ratio concentrator is calculated. Finally, an experiment is designed to verify the correctness of the calculations.