V棱镜法测定玻璃折射率的理论推导及应用

Theoretical Derivation and Application of the V Prism Method to Measure the Refractive Index of Glass

对V棱镜法测定玻璃折射率原理进行了详细的理论推导,并用实例验证了V棱镜法测定玻璃折射率的精确度可达±0.00005。同时,根据大量的玻璃成分及玻璃折射率测试数据,拟合出CaO-B_(2)O_(3)-SiO_(2)-Al_(2)O_(3)无碱玻璃折射率快速计算公式:n′=1.68557ω_(CaO)+1.38531ω_(B_(2)O_(3))+1.53671ω_(SiO_(2))+1.61223ω_(Al_(2)O_(3)),精确度为±0.005,分析了玻璃成分对折射率的影响。

A detailed theoretical derivation of the principle of measuring the refractive index of glass by the V prism method is carried out.The precision of measuring the refractive index of glass example by the V prism method can reach±0.00005.At the same time,according to a large number of glass composition and glass refractive index test data,the fast calculation formula of the refractive index of CaO-B_(2)O_(3)-SiO_(2)-Al_(2)O_(3) E-glass was fitted out:n′=1.68557ω_(CaO)+1.38531ω_(B_(2)O_(3))+1.53671ω_(SiO_(2))+1.61223ω_(Al_(2)O_(3)),the precision is±0.005.The method is used to study the influence of glass composition on the refractive index.