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Applied Optics

Applied Optics


  • Vol. 27, Iss. 3 — Feb. 1, 1988
  • pp: 452–458

The YӮ diagram for radial gradient systems

John Rogers, Michael E. Harrigan, and Robert P. Loce  »View Author Affiliations

Applied Optics, Vol. 27, Issue 3, pp. 452-458 (1988)

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The properties of the YӮ diagram as applied to radial gradient lens systems are developed. It is shown that the diagram consists of elliptical arcs, which are circular arcs for certain conditions. The effects of pupil and object shifts are discussed as well as the effects of scaling the pupil size. It is shown how the constructional parameters of the system are read from the diagram. Finally, for the purpose of design, it is shown how one may obtain the YӮ diagram of a system which satisfies a certain set of design constraints.

© 1988 Optical Society of America

Original Manuscript: April 2, 1987
Published: February 1, 1988

John Rogers, Michael E. Harrigan, and Robert P. Loce, "The Y−Ӯ diagram for radial gradient systems," Appl. Opt. 27, 452-458 (1988)

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