What question did this study set out to answer?

This research aims to improve the fitting of refractive index data using least squares methods.

August 1, 1961Journal of the Optical Society of America53 citations

Fitting Refractive Index Data by Least Squares

LSLoyd E. Sutton OSOrestes N. Stavroudis

Key Points

This research aims to improve the fitting of refractive index data using least squares methods.
Utilized a three-term Sellmeier equation for fitting refractive index data.
Evaluated constants of a two-term Sellmeier equation using prior methods.
Applied iterative techniques to enhance fit accuracy.
Achieved an average residual of index of approximately 2 × 10−5 across 46 wavelengths.
Fitting utilized wavelengths ranging from 0.2652μ to 10.346μ.

Abstract

The accessibility of high-speed computing machinery makes practicable the use of a routine for the least-squares fitting of a three-term Sellmeier equation to a set of experimentally determined values of index of refraction. The constants of a two-term Sellmeier equation are evaluated by a method described previously O. N. Stavroudis L. E. Sutton , J. Opt. Soc. Am.51, 368 ( 1961). These are then used in a preliminary fitting of another term. The rough fit is then improved by an iterative process which includes an acceleration technique to speed convergence to the final result. In a typical example the average residual of index is only about 2 × 10−5 for 46 wavelengths from 0.2652μ to 10.346μ.

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