确定非球面最佳参考球面及非球面度的一种新方法  

Determining the Best-fit Spherical Surface and Asphericity of Aspheric Surface by Calculating the Fringe Density

作　　者：莫卫东[1] 傅振堂[1] 范琦[1] 张孟[1] 冯明德[1] 张海防[1] 

机构地区：[1]空军工程大学理学院,西安710051

出　　处：《光电工程》2012年第12期7-11,共5页Opto-Electronic Engineering

基　　金：陕西省自然科学基金(2010JM8012)

摘　　要：通过计算被测非球面反射光波与球面光波干涉条纹的密度,找到了一种确定非球面的最佳参考球面和非球面度的新方法。该方法采用计算机数字计算分析技术,计算一系列不同半径的球面波与非球面波的干涉条纹密度,使得最大干涉条纹密度最小的球面便是所求解的非球面的最佳参考球面。该方法的最大优势在于可用于不需要对非球面表面函数进行解析计算,就能够很准确地确定任意非球面的最佳参考球面的半径、最大非球面度、被测非球面波与最佳参考球面波干涉条纹的最大密度和位置。By calculating the interference fringe density of aspheric surface reflecting optical wave and a spherical optical wave, a new method for determining asphericity and the best-fit spherical surface ofaspheric surface has been discovered. This method applies computer digital analysis technology to directly compute interference fringe density that the fringes are produced by interfering with aspheric wave and spherical wave in different radius. The spherical surface that is of the least fringe density in the most densities above is best-fit spherical surface of aspheric. The prime advantage of this method is that the radius of the best-fit spherical surface, the asphericity, the density and positions of interference fringe can be well determined not to require any analytical calculation for aspheric surface function.

关 键 词：非球面 最佳参考球面 非球面度 干涉条纹密度 

分 类 号：O436[机械工程—光学工程] TN247[理学—光学]