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 and 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.

© 1961 Optical Society of America

Fitting refractive-index data with the Sellmeier dispersion formula

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Mie Scattering with Complex Index of Refraction

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Method of Least Squares and Curve Fitting

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Interpolation of Refractive Index Data

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