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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 51, Iss. 8 — Aug. 1, 1961
  • pp: 901–905

Fitting Refractive Index Data by Least Squares

LOYD E. SUTTON and ORESTES N. STAVROUDIS  »View Author Affiliations


JOSA, Vol. 51, Issue 8, pp. 901-905 (1961)
http://dx.doi.org/10.1364/JOSA.51.000901


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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.

Citation
LOYD E. SUTTON and ORESTES N. STAVROUDIS, "Fitting Refractive Index Data by Least Squares," J. Opt. Soc. Am. 51, 901-905 (1961)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-51-8-901


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References

  1. R. W. Ditchburn, Light 1953, 456.
  2. O. N. Stavroudis and L. E. Sutton, J. Opt. Soc. Am. 51, 368 (1961).
  3. M. B. Wilk, Ann. Math. Stat. 29, 618A (1958).

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