An approximate three-dimensional analytical propagation formula for Gaussian beams through a cube corner reflector

Based on the idea that the propagation of Gaussian beams passing through a cube corner reflector can be approximately regarded as a propagation of Gaussian beams passing through a hexagon aperture which is the intersection of three parallelogram apertures, and by using the method of expanding the aperture function into a finite sum of complex Gaussian functions, an approximate analytical propagation formula of Gaussian beams propagating through a cube corner reflector is derived and illustrated with numerical examples. It is found that the aberrance of the intensity distribution pattern becomes obvious with the increase of the incidence angle and orientation angle, and the aberrance brought by the incidence angle is larger that that by the orientation angle at same values.