旋转对称二次曲面平凸透镜牛顿环研究

Research on Newton’s Rings for Rotationally Symmetric Quadratic Planoconvex Lenses

采用旋转对称二次曲面的标准面面形公式,对平凸透镜的牛顿环进行理论分析和数值仿真,给出描述牛顿环强度分布的数学表达式和光强分布曲线.研究结果表明,在顶点曲率半径和光波长给定时,当曲面的conic系数绝对值较小时,干涉光强分布可采用现有光学教材中的牛顿环近似表达式进行研究;当conic系数绝对值较大时,现有的牛顿环近似表达式将不再适用.

By using the standard surface formula of rotationally symmetric quadric surface,the Newton's rings of planoconvex lens were theoretically analyzed and numerically simulated.The mathematical expression describing the intensity distribution of Newton's rings and the light intensity distribution curve were given.The research results indicate that when the radius of vertices curvature and the wavelength are given,the distribution of interference light intensity can be calculated using the Newton's ring expression in existing optical textbooks when the absolute value of the conic coefficient of the surface is small.The existing Newton's ring approximate expression will no longer be applicable when the absolute value of the conic coefficient is large.