中文摘要：

为研究旋转二次曲面及其透镜对轴上物点的成像质量,从二次曲面的标准方程出发,以折射定律为基础,导出了旋转二次曲面折射成像的精确球差公式,并由此计算了不同类型二次曲面及其透镜成像的球差,结果发现,旋转椭球面、抛物面和双曲面双凸薄透镜的成像质量都优于球面双凸薄透镜的成像质量.

英文摘要：

In order to study the rotational conicoid and its lens to the quality of image-forming the point on the principal axis utilizing the standard equation of the rotational conicoid and the refraction law, this article deduces the precise formulation of spherical aberration of the refracted image on conicoid. And then calculate the spherical aberration of different rotational con icoids and their lens. We find that the quality of image-forming of rotational ellipsoid, paraboloid and hyperboloid＇s convexoconvex thin lens prior to the spherical surface＇s.