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Applied Optics

Applied Optics


  • Vol. 22, Iss. 8 — Apr. 15, 1983
  • pp: 1198–1215

Calculation of refractive indices using Buchdahl’s chromatic coordinate

Paul N. Robb and R. I. Mercado  »View Author Affiliations

Applied Optics, Vol. 22, Issue 8, pp. 1198-1215 (1983)

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In this paper we have completed an error analysis of the Buchdahl glass model for 813 glasses available from five manufacturers. A quadratic model has a standard deviation of 0.00002 and a maximum absolute error of 0.0001 in the visible spectral region. A cubic model has a standard deviation of 0.00005 and a maximum absolute error of 0.00026 over the full spectral region from 0.365 to 1.014 μm. A table giving the Buchdahl fitting coefficients for all the glasses, as well as the standard deviation and maximum error for each glass, is included for the quadratic model. The results indicate that the Buchdahl model is ideally suited for theoretical studies of refracting optical systems.

© 1983 Optical Society of America

Original Manuscript: December 23, 1982
Published: April 15, 1983

Paul N. Robb and R. I. Mercado, "Calculation of refractive indices using Buchdahl’s chromatic coordinate," Appl. Opt. 22, 1198-1215 (1983)

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  1. W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1966), pp. 147 and 148.
  2. H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).
  3. P. J. Sands, J. Opt. Soc. Am. 61, 777 (1971). [CrossRef] [PubMed]
  4. R. E. Stephens, J. Opt. Soc. Am. 56, 213 (1966). [CrossRef]
  5. Schott Optical Glass, Inc., Optical Glass Catalogue (Duryea, Pa., 1980).
  6. Ohara Optical Glass Manufacturing Co., Ltd., Optical Glass Catalogue (Sagamihara, Japan, 1980).
  7. Hoya Corp., Optical Glass Catalogue (Tokyo, Japan, 1980).
  8. Corning-France, Optical Glass Catalogue (Avon, France, 1980).
  9. Chance Pilkington, Ltd., Optical Glass Catalogue (St. Asaph, Clwyd, U.K., 1980).
  10. Ref. 6, p. 2.
  11. Ref. 2, pp. 151 and 152.

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