Abstract

This study utilizes the graphical method we have introduced [V.-F. Duma, A. Schitea, <i>Proc. of the Romanian Acad. Series A</i> 19, 53-60, 2018] and developed [V.-F. Duma, A-L. Dimb, <i>Applied Sciences</i> 11, 8451, 2021] to obtain exact scan patterns of the different configurations of laser scanners with Risley prisms. This method is easier to apply than rather complicated analytical approaches. It is also exact, in contrast to approximate, first order approaches. Simulations are carried out using only simple prisms equations and a mechanical design program, in this case CATIA V5R20 (Dassault Systèmes, Paris, France). Examples of obtained scan patterns are presented and analyzed, continuing previous studies we have performed on this topic and with other prisms parameters, including prisms angles, distance between the prisms and from scanner to target, as well as the rotational speeds of the two prisms. Marshall’s elegant parameters are also considered: <i>M</i>, the ratio of the rotational speeds; <i>k</i>, the ratio of the angles of the prisms. An experimental part validates the simulation results, and an error analysis is performed, to assess the validation of simulation through experiments, but also to evaluate the precision in aligning and positioning the components of the optomechanical setup.

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