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Applied Optics

Applied Optics


  • Vol. 24, Iss. 24 — Dec. 15, 1985
  • pp: 4342–4348

Models for the thermal expansion coefficient and temperature coefficient of the refractive index in gradient-index glass

Paul O. McLaughlin and Duncan T. Moore  »View Author Affiliations

Applied Optics, Vol. 24, Issue 24, pp. 4342-4348 (1985)

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In gradient-index glass the variation of glass composition can also cause a variation in the thermal properties across the gradient region. The difference in thermal expansion and dn/dT across the gradient-index region has been modeled. Several examples illustrate how the models can be utilized to select gradient-index glass compositions that will have constant thermal properties within the gradient region. Experimental measurement of the variations of αL and dn/dT in gradient-index glass is presented in a separate paper.

© 1985 Optical Society of America

Original Manuscript: October 11, 1984
Published: December 15, 1985

Paul O. McLaughlin and Duncan T. Moore, "Models for the thermal expansion coefficient and temperature coefficient of the refractive index in gradient-index glass," Appl. Opt. 24, 4342-4348 (1985)

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  1. M. L. Huggins, “The Density of Silicate Glasses as a Function of Composition,” J. Opt. Soc. Am. 30, 420 (1940). [CrossRef]
  2. A. A. Appen, “Versuch zur Klassifizierung von Komponenten nach ihrem Einfluβ auf die Oberflächenspannung von Silikatschmelzen,” Silikattechnik 5, 113 (1954). Also, H. Scholze, Glas Natur Strukur, und Eigenschaften (Springer-Verlag, Berlin, 1977), pp. 148–149.
  3. K. Takahashi, “Thermal Expansion Coefficients and the Structure of Glass. Part I,” J. Soc. Glass Technol. 37, 3N (1953).
  4. M. L. Huggins, K. H. Sun, D. O. Davis, “The Dispersion of Silicate Glasses as a Function of Composition. II,” J. Opt. Soc. Am. 32, 635 (1942). [CrossRef]
  5. T. Baak, “Thermal Coefficient of Refractive Index,” J. Opt. Soc. Am. 59, 851 (1969). Through personal communications with Baak it was confirmed that the values for ki and γi reported in Table IV of his paper are in error by a constant multiplicative term, n/(n − 1). Table VII (this paper) shows that good agreement between the model and catalog data is obtained when the recalculated values for ki and γi from Table VI of this paper are used. [CrossRef]
  6. G. N. Ramachandran, “Thermo-Optic Behavior of Solids. VI. Optical Glasses,” Proc. Indian Acad. Sci. Sect. A 25, 498 (1947).
  7. S. D. Fantone, “Refractive Index and Spectral Models for Gradient-Index Materials,” Appl. Opt. 22, 432 (1983). [CrossRef] [PubMed]
  8. S. D. Fantone, “Design, Engineering, and Manufacturing Aspects of Gradient Index Optical Components,” Ph.D. Thesis, The Institute of Optics, U. Rochester, New York (1979).

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