# Research on Micro-Vibration Analysis of Segmented Telescope Based on Opto-Mechanical Integration
###### Abstract
In addition to the evaluation of the Strehl ratio, key features such as the intensity and position of scattering spots and secondary peaks, as well as the relative energy distribution between these features, were considered. [PERSON] [26] derived the relationship between the wavefront variance and the number of sub-apertures in the presence of various aberrations in a single sub-aperture of an optical synthetic aperture imaging system. The results show that piston error has the greatest impact on the system, followed by defocus error, tilt error, spherical aberration, coma aberration and image dispersion. Since it is difficult to carry out on-orbit testing of space telescope systems, it is generally necessary to carry out simulation analysis and ground testing first. In the 1980s, Honeywell proposed the opto-mechanical integration analysis method, in which an important link is the data transmission between finite element analysis software and optical design software. Many international scholars have carried out research on opto-mechanical integration integration analysis and achieved corresponding results. For example, the Massachusetts Institute of Technology (MIT) developed the opto-mechanical integration analysis software DOCS based on MATLAB R2016b, and used it to perform integration analysis of NEXUS [27; 28], and applied DOCS to the micro-vibration integration analysis of NGST and other very large space telescopes, etc. NASA has also developed the -optic-mechanical integration analysis software IME to perform opto-mechanical integration analysis of JWST [29], which can analyze the imaging quality under the effect of jitter and temperature loading. Scholar [PERSON] [30] used Zernike polynomials as the interface to write an optical-machine interface program for data interaction, and analyzed the optical performance of the primary mirror of a telescope under the effect of microturbulence. [PERSON] [31] used opto-mechanical integration analysis to conduct micro-vibration studies on a large aperture long focal length optical space remote sensing cam era, and realized a comprehensive evaluation of the imaging quality of the optical system under the action of micro-vibration of the flywheel. Large aperture segmented telescopes have high-resolution imaging capabilities, however, in the extreme complexity of the space environment, they are susceptible to deterioration of imaging due to micro-vibrations during operation. Especially in long exposure missions, this can lead to increased wavefront errors, image blurring and resolution degradation. To ensure high resolution and reliability, the effects of micro-vibration must be considered at the design stage and opto-mechanical integration analysis must be performed. Although the analyses for optical systems where the primary mirror is a whole mirror are more mature, the precision integration analyses of segmented primary mirror optical systems still face challenges. There is also an urgent need to address the dynamic performance analysis in long exposure modes. These studies are not only crucial for the development of large-scale optoelectronic equipment, but also can provide leadership and reference for the environmental adaptability studies of other space precision equipment. Therefore, the study of the effect of micro-vibration on the imaging quality of segmented telescopes is of great theoretical and practical significance, and is an urgent problem that needs to be solved at present. Based on the above, this paper takes the segmented telescope as the research object, theoretically analyzes the influence of the positional error of a single sub-mirror on the wavefront error (WFE) and carries out simulation verification. At the same time, we employ opto-mechanical integration analysis to simulate and analyze the entire link structure of the optical system under micro-vibration conditions. The degradation of imaging quality in the segmented telescope caused by micro-vibration is evaluated using the point spread function (PSF) as the evaluation index.