Crosstalk error compensation in multi-degree-of-freedom measurement systems utilizing the optical symmetry of a corner cube retroreflector

Crosstalk errors induced by the coupling between rotational and translational motions in multi-degree-of-freedom measurement systems critically degrade system accuracy. This study proposes a crosstalk compensation model based on the optical symmetry of the corner cube retroreflector, aiming to decouple the interaction between the roll, pitch, yaw, and horizontal/vertical displacements. A mathematical framework was developed, integrating the coordinate transformation, vector analysis, and optical path equations. This model can precisely forecast the spot displacement of the detector by solving the incident plane equation under the condition of multi-degree-of-freedom motion. Experimental results demonstrate an 84.2% reduction in horizontal displacement error (from 17.1 to 2.7 µm) and a 94.3% reduction in vertical displacement error (from 73.5 to 4.2 µm) after compensation. The proposed model significantly reduces inaccuracies caused by crosstalk in multi-degree-of-freedom measurement systems, thereby enhancing the overall performance and reliability of the system.