旋转双曲面和球面折射成像的球差比较  

Compare the spherical aberration of refracted image of the rotational hyperboloid and the spherical surface

作　　者：郑世旺[1] 

机构地区：[1]商丘师范学院物理与信息工程系,河南商丘476000

出　　处：《信阳师范学院学报（自然科学版）》2005年第4期394-396,441,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省教学研究项目(2004293);商丘市科技攻关项目(9910715)

摘　　要：为研究旋转双曲面及其透镜对轴上物点的成像质量,从双曲面标准方程出发,以折射定律为基础,导出了双曲面折射成像的精确球差公式,并由此计算了双曲面和球面及其透镜成像的球差,比较分析了两种折射曲面的球差特性,发现双曲面相对球面有球差校正作用,双曲面双凸薄透镜的成像质量优于球面双凸薄透镜的成像质量.In order to study the rotational hyperboloid and it＇s lens to the quality of image-forming the point on the principal axis utilizing the standard equation of the rotational hyperboloid and the refraction law, this article deduces the precise formulation of spherical aberration of the refracted image on hyperboloid . And then calculate the spherical aberration of hyperboloid spherical surface and their lens . Comparing the character of spherical aberration of hyperboloid and spherical surface , we find that hyperboloid have the effect of revising spherical aberration. The quality of image-forming of hyperboloid＇s convexo-convex thin lens prior to the spherical surface＇s.

关 键 词：二次曲面 双曲面 非近轴光线 球差 成像质量 

分 类 号：O435[机械工程—光学工程]