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Applied Optics

Applied Optics


  • Vol. 24, Iss. 24 — Dec. 15, 1985
  • pp: 4356–4366

Model for the chromatic properties of gradient-index glass

Danette P. Ryan-Howard and Duncan T. Moore  »View Author Affiliations

Applied Optics, Vol. 24, Issue 24, pp. 4356-4366 (1985)

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A model has been developed which predicts the chromatic properties of gradient-index materials based on the composition of the glass. It yields a gradient Abbe number and a gradient partial dispersion which can be used by the lens designer in the design of achromatic gradient-index lens systems. Over 100 glasses with various ion exchange pairs have been investigated. The result is a gradient Abbe number ranging from −2000 to +5000 and a gradient partial dispersion ranging from −5 to +7. This wide range of gradient Abbe numbers and gradient partial dispersions can be further extended by using a glass which has two exchange ions with one diffusing ion or a glass which has one exchange ion with two diffusing ions. In addition to an extended range, the designer is afforded the luxury of a continuously varying Abbe number rather than the discrete Abbe number of conventional materials.

© 1985 Optical Society of America

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

Danette P. Ryan-Howard and Duncan T. Moore, "Model for the chromatic properties of gradient-index glass," Appl. Opt. 24, 4356-4366 (1985)

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