本文给出了带卷边短程透镜问题的一个最优解,透镜子午线光滑无奇点,在透镜边缘处卷边的曲率半径趋于无穷大,具有使该点弯曲损耗达到极小的最优卷边形状.最优解优于已有的短程透镜其他解析形式解,完善了设计短程透镜的解析法.

In this paper, an optimal solution for the problem of geodesic lenses with smooth rim was given. The meridional curve is smooth and not singularity, the curvature radius of the rim at the edge of geodesic lens tends to infinite. Therefore the rim shape is optimal and bend loss of rim is minnimized. Because the optimal solution is better than other solutions in analitical form the analitical method for designing geodesic lenses has been developed and perfected.