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Applied Optics

Applied Optics


  • Vol. 30, Iss. 7 — Mar. 1, 1991
  • pp: 735–744

Interferometric measurement of group and phase refractive index

Mark D. Hopler and John R. Rogers  »View Author Affiliations

Applied Optics, Vol. 30, Issue 7, pp. 735-744 (1991)

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An experimental apparatus has been designed to measure group refractive index (ng) by observing the shift of the fringe visibility envelope upon insertion of a sample into one arm of a Twyman-Green interferometer. A criterion is developed for the limiting bandwidth and thickness for which good visibility may be expected and for predicting the bandwidth for the narrowest visibility curve. It is demonstrated that the measured group index data can be converted to phase index data with a previously described technique [ RogersJ. R. HoplerM. D., J. Opt. Soc. Am. A 5, 1595– 1600 ( 1988)] to an accuracy of ~0.0006 across the visible spectrum.

© 1991 Optical Society of America

Original Manuscript: December 6, 1989
Published: March 1, 1991

Mark D. Hopler and John R. Rogers, "Interferometric measurement of group and phase refractive index," Appl. Opt. 30, 735-744 (1991)

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  1. J. B. Caldwell, Institute of Optics, U. Rochester; personal communication (1988).
  2. C. P. Saylor, “Accuracy of Microscopical Methods For Determining Refractive Index By Immersion,” J. Res. Natl. Bur. Stand. (U.S.) 15, 277–295 (1935). [CrossRef]
  3. A. Johannsen, Manual of Petrographic Methods (McGraw-Hill, New York, 1918), p. 277.
  4. W. H. Steel, Interferometry (Cambridge, U.K., 1967), p. 105.
  5. J. E. Chamberlain, J. E. Gibbs, H. A. Gebbie, “Refractometry in the Far Infra-Red Using a Two-Beam Interferometer,” Nature London 198, 874–875 (1963). [CrossRef]
  6. W. H. Knox, N. M. Pearson, K. D. Li, C. A. Hirlimann, “Interferometric Measurements of Femtosecond Group Delay in Optical Components,” Opt. Lett. 13, 574–576 (1988). [CrossRef] [PubMed]
  7. J. R. Rogers, M. D. Hopler, “Conversion of Group Refractive Index To Phase Refractive Index,” J. Opt. Soc. Am. A 5, 1595–1600 (1988). [CrossRef]
  8. See, for example, M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1959), p. 321.
  9. Rayleigh, “Investigations in Optics, with Special Reference to the Spectroscope,” Philos. Mag. 8, 403–411 (1879). [CrossRef]
  10. G. W. Forbes, “Chromatic Coordinates in Aberration Theory,” J. Opt. Soc. Am. A 1, 344–349 (1984). [CrossRef]
  11. M. D. Hopler, “Interferometric Measurement of Refractive Index,” M.S. Thesis, U. Rochester, New York (1987).

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