物点经方玻璃砖折射成像的三种计算方法及像点位置特点  

Three Calculation Methods of the Refraction Imaging of Object Point Through Square Glass Brick and the Characteristics of Image Point Position

作　　者：邵云 窦瑾 SHAO Yun;DOU Jin(School of Electronic Engineering,Nanjing Xiaozhuang University,Nanjing 211171,China)

机构地区：[1]南京晓庄学院电子工程学院,江苏南京211171

出　　处：《南京晓庄学院学报》2020年第6期45-49,共5页Journal of Nanjing Xiaozhuang University

基　　金：江苏省教育科学“十三五”规划课题(D/2020/01/55);南京晓庄学院优秀教学团队建设项目(4187061).

摘　　要：文章给出物点经方玻璃砖两对面折射成像的三种计算方法,即二次成像法、导数公式法和平面几何法;做出像点位置随视角变化的轨迹图,从人眼视角方面分析了像点的位置特点,得到在相同的视角下像点随物点同步移动即两者相对位置固定这一结论,揭示出人们使用薄玻璃窗户的光学依据;文末,对文中的三种计算方法进行了评价,指出数学技巧对于几何光学的重要性.This paper presents three methods for calculating the position of refraction imaging of an object point through two opposite sides of the rectangular glass block,i.e.secondary imaging method,derivative formula method and plane geometry method.The track map of the image point position changing with the angle of view is made,and the position characteristics of the image point are analyzed from the perspective of human eyes.The conclusion that the image point moves synchronously with the object point in the same angle of view is that the relative position of the two points is fixed is obtained,which reveals the optical basis for people to use the thin glass window.At the end of the paper,three calculation methods are evaluated,and the importance of mathematical skills for geometrical optics is pointed out.

关 键 词：物点 像点 玻璃砖 折射成像 视角 

分 类 号：O435.1[机械工程—光学工程]