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Study of the impact of petal-shape mirror segmentation on 2 m segmented telescope

The final optical design for a 2m infrared telescope with segmented primary mirror is presented in this paper, in response to the “2m segmented infrared telescope” proposal by Shanghai Institute of Technical Physics, Chinese Academy of Sciences for researching on the next generation of astro-physical mission. The segmented primary mirror adopts a circular center mirror and 8 petal-shape segment mirrors. To investigate the effects of intersegment gaps, position and figure errors of segments, a wavefront aberration representation is derived through aspheric surface equation, then, the linear relation between wavefront aberration and interference bright fringe is established, therefore, a linear retrieval algorithm of stitching tolerances base on the tolerances sensitivity matrix is proposed. In order to verify the algorithm, a simulation program is developed to analyze the fringe Zernike coefficients data of ZEMAX ray tracing, and the simulation results show that the maximum retrieval deviation is in the range of ±0.5%.