in this paper , a new design method for geodesic lens , which has an analytic solution of rotational symmetry , is pro
posed. Based on Fermat' s and Clairut' s principle , using the variational principle , referring to the general solution method
of Toraldo and choosing a suitable rounded edge function , the expression of profile is obtained. This kind of analytic meridi
an curve is convenient for design and fabrication. This type of geodesic lens is not only aberration-free , but also loss lower
than the others , because it solves the problem of curvature radius R being zero (R =0) on the transition parallel circles,
which causes the scattering losses tend infinite. The test result is coincident with the theoretical predicting value perfectly.