Centroid position deviation of distorted cat-eye effect reflected beam

Based on the definition of first order moment and the approximate three-dimensional analytical formula for oblique laser beam passing through a cat-eye optical lens with center shelter and inclined detector, the analytical expression of centroid position of the cat-eye effect reflected light under far-field condition has been deduced. Variable laws of centroid position deviation at the return place are performed by numerical calculation, and analyzed physically. The results show that the centroid position deviation is directly caused by the oblique incidence of the detected laser, and the focal shift of cat-eye optical lens plays a more important role in the increase of the centroid position deviation.