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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 4 — Feb. 1, 1992
  • pp: 513–518

General analysis of two-mirror relay systems

Paul G. Hannan  »View Author Affiliations


Applied Optics, Vol. 31, Issue 4, pp. 513-518 (1992)
http://dx.doi.org/10.1364/AO.31.000513


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Abstract

The general two-mirror system used at finite conjugates is examined here. Relations for first-order geometric properties and third-order aberrations are given in terms of five design parameters: object distance, image distance, exit pupil size, and the two mirror magnifications. The conditions for aplanatic solutions are derived for conic mirrors. The curvatures of the astigmatic image surfaces are given, and the condition for anastigmatic solutions is derived. The relations are applied to infinite conjugate systems and spherical mirror systems as special cases.

© 1992 Optical Society of America

History
Original Manuscript: March 20, 1991
Published: February 1, 1992

Citation
Paul G. Hannan, "General analysis of two-mirror relay systems," Appl. Opt. 31, 513-518 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-4-513


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References

  1. R. Kingslake, Lens Design Fundamentals (Academic, New York, 1978), p. 331.
  2. R. G. Bingham, “A two-mirror focal length reducer and field corrector for prime foci,” in Optical and Infrared Telescopes for the 1990s, A. Hewitt, ed. (Kitt Peak National Observatory, Tucson, Arizona, 1980), pp. 965–974.
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  7. W. T. Welford, Aberrations of Optical Systems (Adam Hilger, Bristol, England, 1986), pp. 130–153.
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  9. For example, see M. R. Spiegel, Mathematical Handbook of Formulas and Tables (McGraw-Hill, New York, 1968), p. 32.
  10. C. R. Burch, “Reflecting microscopes,” Proc. Phys. Soc. London 59, 41–46 (1947). [CrossRef]

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