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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 22 — Aug. 1, 2004
  • pp: 4328–4333

Parabola-doublet aplanat becomes anastigmatic when second doublet is inserted near focus

Rick Blakley  »View Author Affiliations


Applied Optics, Vol. 43, Issue 22, pp. 4328-4333 (2004)
http://dx.doi.org/10.1364/AO.43.004328


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Abstract

A doublet of choice glasses may be located in the converging focal cone of the infinity-focused parabola to yield an aplanatic telescope or camera. The resulting angular field is limited by high astigmatism but is significantly larger than that of the coma-limited parabola. The spherical and chromatic aberrations are so well corrected and the coma so well balanced that the doublet may be used unaltered with a parabola of arbitrary focal length and speed with excellent results for the unvignetted rays. A second doublet nearer to the focus and designed independently of the first corrects the system’s astigmatism while preserving its aplanaticism. It may also be designed for flattening the field. This arrangement may allow for greater flexibility in the placing of optical elements than does Wynne’s triplet for modest-aperture systems. Equations are presented for choosing candidate glasses for the first doublet from the very limited manifold of solving glasses.

© 2004 Optical Society of America

OCIS Codes
(110.6770) Imaging systems : Telescopes
(220.1000) Optical design and fabrication : Aberration compensation
(220.1010) Optical design and fabrication : Aberrations (global)
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(220.4830) Optical design and fabrication : Systems design

History
Original Manuscript: January 6, 2004
Revised Manuscript: April 12, 2004
Published: August 1, 2004

Citation
Rick Blakley, "Parabola-doublet aplanat becomes anastigmatic when second doublet is inserted near focus," Appl. Opt. 43, 4328-4333 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-22-4328


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References

  1. D. J. Schroeder, “Wynne Triplets,” in Astronomical Optics (Academic, San Diego, Calif., 1987), pp. 169–170.
  2. W. J. Smith, “Image formation: geometrical and physical optics,” in Handbook of Optics, W. G. Driscoll, W. Vaughan, eds. (McGraw-Hill, N.Y., 1978), p. 2–22.
  3. R. Kingslake, “A parabolic mirror,” in Lens Design Fundamentals (Academic, New York, 1978), p. 302.
  4. A. E. Gee, “The design of telescope objectives by the G-sum method,” in Amateur Telescope Making III, A. G. Ingalls, ed. (Scientific, Princeton, N.J., 1953), p. 208.
  5. In Ref. 3, “Primary spherical aberration of a thin lens,” pp. 116–117.
  6. M. Born, E. Wolf, in “The Herschel Condition,” Principles of Optics, 6th ed. (Pergamon, Elmsford, N.Y., 1980), p. 169.
  7. In Ref. 3, “The coma G-sum,” pp. 164–165.
  8. In Ref. 3, “Thin lens contributions,” p. 207.
  9. H. Rutten, M. van Venrooij, “Presentation of image aberrations with spot diagrams,” in Telescope Optics (Willmann-Bell, Richmond, Va., 1988), p. 36.

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