Morrissey B W, Powell C J
Appl Opt. 1973 Jul 1;12(7):1588-91. doi: 10.1364/AO.12.001588.
A comparison of the interpolation of index of refraction data for Czochralski sapphire, cyclohexane, and polystyrene dissolved in cyclohexane using a three-term Sellmeier equation, the Lorentz-Lorenz equation with six terms, third and fifth order polynomials, and a cubic-spline technique indicates that the cubic spline method is extremely valuable for simple interpolation. Not only were the magnitudes of the rms and average absolute residuals the smallest, but the fits showed no systematic errors.
使用三项Sellmeier方程、含六项的Lorentz-Lorenz方程、三次和五次多项式以及三次样条技术，对提拉法蓝宝石、环己烷以及溶解在环己烷中的聚苯乙烯的折射率数据插值进行比较，结果表明三次样条方法对于简单插值极为有用。均方根和平均绝对残差的大小不仅是最小的，而且拟合未显示出系统误差。
