A refracting system consisting of two lenses is designed to transform
an annular Gaussian laser beam into a circular Bessel beam. The slopes
of the input and output surfaces lit well with a sixth-order polynomi
al. A smooth variation of the radii of curvature of the resulting asph
eric surfaces is very attractive for easy machining of the surfaces. T
he diffraction-free length for the designed system is 59.4735 m at 633
nm. (C) 1998 Optical Society of America.