光子学报, 2017, 46 (6): 0616002, 网络出版: 2017-06-27
基于1stOpt求解光学玻璃折射率温度系数经验公式常量的方法
A Method for Solving the Refractive Index Temperature Coefficient Empirical Formula Constants of Optical Glasses Based on 1stOpt
玻璃与非晶无机非金属材料 折射率温度系数 差分进化法 光学玻璃 回归计算 热补偿 Glass and non-crystalline inorganic materials Temperature coefficient of refractive index Differential evolution Optical glasses Regression calculation Thermal compensation
摘要
为了解决ZEMAX软件拟合计算折射率温度系数经验公式常量时,参量回归计算的折射率和折射率温度系数与实验值存在较大偏差的问题,用1stOpt差分进化法求解折射率温度系数经验公式常量.以氟冕D-FK61和特种火石H-TF3A光学玻璃为例,用该方法求解的λtk常量与其通用数值范围0.08~0.33相吻合,参量回归计算的折射率和折射率温度系数与实测值的偏差分别小于1×10-5、2×10-7/℃.该方法作为ZEMAX软件计算光学玻璃折射率温度系数的有效补充,计算的准确性高,可为热补偿光学系统设计提供准确的光学参量保障.
Abstract
In order to solve the problem that large deviation of the refraction index and temperature coefficient of refraction index obtained by regression calculation from the experimentally measured ones comes out when ZEMAX method is used for solving these empirical formula constants and regression calculation, 1stOpt differential evolution was used to calculate the temperature coefficient of refraction index empirical formula constants. With fluoro-crown D-FK61 and flint H-TF3A optical glass as examples, the λtk coefficients calculated by the proposed method are consistent with the general numerical range of 0.08~0.33, and the difference of refractive index and its temperature coefficient between the value obtained by regression calculation method and the measured value is less than 1×10-5 and 2×10-7/℃, respectively. As an effective supplement of ZEMAX software to calculate the temperature coefficient of refractive index of the optical glasses, the proposed method greatly improves the accuracy and can provide accurate optical parameter guarantee for thermal compensation optical system design.
马志远, 王鹏飞, 吴志强, 吴德林, 粟勇. 基于1stOpt求解光学玻璃折射率温度系数经验公式常量的方法[J]. 光子学报, 2017, 46(6): 0616002. MA Zhi-yuan, WANG Peng-fei, WU Zhi-qiang, WU De-lin, SU Yong. A Method for Solving the Refractive Index Temperature Coefficient Empirical Formula Constants of Optical Glasses Based on 1stOpt[J]. ACTA PHOTONICA SINICA, 2017, 46(6): 0616002.