Based on the theory of reflection and rotation for vector, this paper theoretically analyzes the scanning scheme by rotating the coaxial two-mirror, and constructs the transformation matrix for vector. On this basis, the relationship between the five control parameters for the scanning scheme by rotating coaxial two-mirror and the scanning trajectory (corresponding to different scanning strategies) is deeply analyzed. The scanning scheme by rotating the coaxial two-mirror designed and analyzed in this paper has the advantages of simple control (with uniform circular motion), high scanning efficiency (100%), and flexible scanning strategy and so on. It can realize the functions of rapid scanning for imaging, region ergodic searching, random or complex path for scanning and so on.
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