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Applied Optics

Applied Optics


  • Vol. 22, Iss. 12 — Jun. 15, 1983
  • pp: 1815–1819

Optical design with spherical index gradients

Stephen D. Fantone  »View Author Affiliations

Applied Optics, Vol. 22, Issue 12, pp. 1815-1819 (1983)

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The aberrations of lenses containing spherical index gradients are considered. Coordinate transformations from spherical to rectangular geometry are presented. These transformations enable calculation of the index polynomial in rectangular coordinates and subsequent calculation of aberration coefficients and ray trace data. The ability to alter the sign of the gradient aberration contribution by simply changing the curvature of the gradient is demonstrated.

© 1983 Optical Society of America

Original Manuscript: February 28, 1983
Published: June 15, 1983

Stephen D. Fantone, "Optical design with spherical index gradients," Appl. Opt. 22, 1815-1819 (1983)

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  1. H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge U. P., London, 1970).
  2. H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).
  3. E. W. Marchand, J. Opt. Soc. Am. 60, 1 (1970). [CrossRef]
  4. P. J. Sands, J. Opt. Soc. Am. 60, 1436 (1970). [CrossRef]
  5. L. von Seidel, Astron. Nach. 43 (1856), No. 1027, 289; No. 1028, 305; No. 1029, 321.
  6. D. T. Moore, J. Opt. Soc. Am. 67, 1137 (1977). [CrossRef]
  7. S. D. Fantone, “Design Engineering and Manufacturing Aspects of Gradient Index Optical Components,” Ph.D. Thesis, U. Rochester (1979).

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