旋转抛物面和球面构成广义牛顿环的干涉图样  

Interference Pattern of Generalized Newton’s Ring Formed by Rotating Paraboloid and Sphere

作　　者：金伶艳 胡玲 顾菊观[1] 穆成富[1] JIN Lingyan;HU Ling;GU Juguan;MU Chengfu(School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《大学物理实验》2021年第6期62-68,共7页Physical Experiment of College

基　　金：浙江省自然科学基金(LY19A050002)资助。

摘　　要：常见的牛顿环是由用一个曲率半径很大的凸透镜的凸面(平凸透镜)和一平面玻璃接触构成。文章研究更一般的情况,讨论由二次函数旋转形成的旋转抛物面与单个平凸透镜(或平凹透镜)组合而形成的广义牛顿环装置,经过理论分析给出这类牛顿环干涉条纹的光强公式。最后用Mathematica数值模拟广义牛顿环的干涉图样。改变二次函数的系数可得到不同的图样,同时讨论了二次函数的系数对牛顿环干涉图样的影响。拓展了对牛顿环干涉的理解,启发了广义牛顿环干涉的研究。A common Newton’s ring is composed of a convex surface(planoconvex lens)of a convex lens with a large radius of curvature and a plane glass.We study a more general case,and discuss a generalized Newton’s ring device formed by the combination of a rotating paraboloid formed by quadratic function rotation and a single planoconvex lens(or planoconcave lens).We give the light intensity formula of the interference fringes of this kind of Newton’s ring through theoretical analysis.Finally,Mathematica is used to simulate the interference pattern of the generalized Newton’s ring.Different patterns can be obtained by changing the coefficient of quadratic function.The influence of the coefficient of quadratic function on the interference pattern of Newton’s ring is also discussed.It expands the understanding of Newton’s ring interference and inspires the research of generalized Newton’s ring interference.

关 键 词：牛顿环 旋转抛物面 Mathematica模拟 等厚干涉 

分 类 号：O4-39[理学—物理]