This paper analyzes the basic theory of rapid rotating scanning scheme for the off-axis 45° parallel two-mirror system, and constructs the transformation action matrix of optical vector in the rotating scanning process. Based on simulation with MATLAB, the relationship between the four control parameters of rotating scanning scheme for the off-axis 45° parallel two-mirror system and the scanning trajectories is analyzed in-depth, and the basic conditions of the control parameters are determined to achieve various scanning strategies. The performances of two scanning strategies (Linear scanning in any direction and Elliptical scanning in different ranges) are analyzed in detail. The scanning scheme discussed in this paper has the advantages of simple control, high scanning efficiency (100%), and flexible scanning strategy and so on by scanning with mirror rotating. It can realize the functions of rapid scanning for imaging with high linearity, region ergodic searching, random or complex path for searching and so on.
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