OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 18 — Sep. 15, 1983
  • pp: 2906–2913

Sellmeier fits with linear regression; multiple data sets; dispersion formulas for helium

Edson R. Peck  »View Author Affiliations

Applied Optics, Vol. 22, Issue 18, pp. 2906-2913 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (1039 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Linear regression, combined with search over nonlinear parameters, is useful in fitting Sellmeier formulas to dispersion data. A special advantage accrues in fitting several sets of data to one formula: linear regression permits systematic normalization to a common absolute value. Rational procedures are discussed also for weighting of data sets of unequal precision. The fitting of common formulas to six sets of data on helium, for wavelengths from 0.09 to 2 μm, illustrates the various procedures.

© 1983 Optical Society of America

Original Manuscript: April 18, 1983
Published: September 15, 1983

Edson R. Peck, "Sellmeier fits with linear regression; multiple data sets; dispersion formulas for helium," Appl. Opt. 22, 2906-2913 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. W. Langhoff, M. Karplus, J. Opt. Soc. Am. 59, 863 (1969). [CrossRef]
  2. K. T. Tang, J. Chem. Phys. 55, 1064 (1971). [CrossRef]
  3. P. W. Langhoff, J. Chem. Phys. 57, 2604 (1972). [CrossRef]
  4. O. N. Stavroudis, L. E. Sutton, J. Opt. Soc. Am. 51, 368 (1961). [CrossRef]
  5. L. E. Sutton, O. N. Stavroudis, J. Opt. Soc. Am. 51, 901 (1961). [CrossRef]
  6. M. J. D. Powell, “Minimization of Functions of Several Variables,” in Numerical Analysis: An Introduction, J. Walsh, Ed. (Thompson Book Co., Washington, D.C., 1967), p. 143.
  7. P. J. Leonard, At. Data Nucl. Tables 14, 22 (1974). [CrossRef]
  8. J. Koch, Art. Mat., Astron. Fys. 9, No. 6, 1 (1913).
  9. C. Cuthbertson, M. Cuthbertson, Proc. R. Soc. London Ser. A 135, 40 (1932). [CrossRef]
  10. C. R. Mansfield, “Measurement of the Dispersion of Helium and Neon,” Doctoral Thesis, U. Idaho (1969).
  11. C. R. Mansfield, E. R. Peck, J. Opt. Soc. Am. 59, 199 (1969). [CrossRef]
  12. P. L. Smith, M. C. E. Huber, W. H. Parkinson, Phys. Rev. A 13, 1422 (1976). [CrossRef]
  13. M. C. E. Huber, G. Tondello, J. Opt. Soc. Am. 64, 390 (1974). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited