Large incidence angle and defocus influence cat's eye retro-reflector

Cat’s eye lens make the laser beam retro-reflected exactly to the opposite direction of the incidence beam, called cat’s eye effect, which makes rapid acquiring, tracking and pointing of free space optical communication possible. Study the influence of cat’s eye effect to cat’s eye retro-reflector at large incidence angle is useful. This paper analyzed the process of how the incidence angle and focal shit affect effective receiving area, retro-reflected beam divergence angle, central deviation of cat’s eye retro-reflector at large incidence angle and cat’s eye effect factor using geometrical optics method, and presented the analytic expressions. Finally, numerical simulation was done to prove the correction of the study. The result shows that the efficiency receiving area of cat’s eye retro-reflector is mainly affected by incidence angle when the focal shift is positive, and it decreases rapidly when the incidence angle increases; the retro-reflected beam divergence and central deviation is mainly affected by focal shift, and within the effective receiving area, the central deviation is smaller than beam divergence in most time, which means the incidence beam can be received and retro-reflected to the other terminal in most time. The cat’s eye effect factor gain is affected by both incidence angle and focal shift.