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Opto-mechanical scanners with Risley prisms (double optical wedges) are one of the most used scanning systems for applications that range from micromechanical endoscope probes to large optics for satellite positioning. The paper presents an exact modelling of the scan patterns produced using such systems, in a dedicated program for mechanical design-CATIA V5R20. This approach utilizes the characteristic parameters of scanners with Risley prisms: the ratio of the rotation velocities of the two wedges M = x 2 /x 1 and the ratio of their apex k = h 2 /h 1 . The advantages of this method with regard to analytical solutions and with regard to approximate methods are pointed out. The similarities of this exact modelling of this type of scanners with the theory of mechanisms are highlighted. An experimental part validates the theoretical results. Driving solutions at the precision level required by these devices are presented.

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