Abstract

A simple three-element eyepiece is presented which has a zero Petzval sum and is corrected for both longitudinal and lateral color. Following a third-order analysis, results of ray tracing several examples are presented. Designs using a single glass are useful at f/4 and 40°, and multiglass designs can be used at f/3 and 40°. These latter designs also correct the coma of a paraboloidal mirror objective.

© 1983 Optical Society of America

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References

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  1. H. Selby, “Telescope Eyepieces,” in Amateur Telescope Making, Vol. 3 (Scientific American, New York, 1953), p. 479.
  2. S. Rosin, “Eyepieces and Magnifiers,” in Applied Optics and Optical Engineering, Vol. 3 (Academic, New York, 1965), p. 374.
  3. A. Nagler, “Ultrawide Angle Flat Field Eyepiece,” U.S. Patent4,286,844 (Sept.1981).
  4. W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, New York, 1974).
  5. G. Licis, Proc. Soc. Photo-Opt. Instrum. Eng. 101, 52 (1977).
  6. R. D. Sigler, Appl. Opt. 21, 2804 (1982).
    [CrossRef] [PubMed]
  7. D. C. Dilworth, Sky Telesc. 54, 425 (Nov.1977).

1982 (1)

1977 (2)

G. Licis, Proc. Soc. Photo-Opt. Instrum. Eng. 101, 52 (1977).

D. C. Dilworth, Sky Telesc. 54, 425 (Nov.1977).

Dilworth, D. C.

D. C. Dilworth, Sky Telesc. 54, 425 (Nov.1977).

Licis, G.

G. Licis, Proc. Soc. Photo-Opt. Instrum. Eng. 101, 52 (1977).

Nagler, A.

A. Nagler, “Ultrawide Angle Flat Field Eyepiece,” U.S. Patent4,286,844 (Sept.1981).

Rosin, S.

S. Rosin, “Eyepieces and Magnifiers,” in Applied Optics and Optical Engineering, Vol. 3 (Academic, New York, 1965), p. 374.

Selby, H.

H. Selby, “Telescope Eyepieces,” in Amateur Telescope Making, Vol. 3 (Scientific American, New York, 1953), p. 479.

Sigler, R. D.

Welford, W. T.

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, New York, 1974).

Appl. Opt. (1)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

G. Licis, Proc. Soc. Photo-Opt. Instrum. Eng. 101, 52 (1977).

Sky Telesc. (1)

D. C. Dilworth, Sky Telesc. 54, 425 (Nov.1977).

Other (4)

H. Selby, “Telescope Eyepieces,” in Amateur Telescope Making, Vol. 3 (Scientific American, New York, 1953), p. 479.

S. Rosin, “Eyepieces and Magnifiers,” in Applied Optics and Optical Engineering, Vol. 3 (Academic, New York, 1965), p. 374.

A. Nagler, “Ultrawide Angle Flat Field Eyepiece,” U.S. Patent4,286,844 (Sept.1981).

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, New York, 1974).

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Figures (8)

Fig. 1
Fig. 1

Optical diagram of the triplet eyepiece design. Light from the objective enters from the left.

Fig. 2
Fig. 2

Plot of first-order parameters for a zero Petzval sum, chromatically corrected family of eyepieces.

Fig. 3
Fig. 3

Plot of lens’s bending parameters as functions of e for several values of n. When the curves are dotted, the bendings only minimize the aberration sums.

Fig. 4
Fig. 4

Plot of lens’s bending parameters as functions of e for designs that correct for objective coma. Curves for several values of n are shown, and when dotted, the bendings only minimize the aberration sums.

Fig. 5
Fig. 5

Ray-tracing analysis of the triplet eyepiece based on 720504 glass. Axes in the spot diagrams are centered on the paraxial, and the dotted circle is 5′ in diameter. Labels C,D,F on a lateral spherical aberration and lateral chromatic aberration graph refer to standard spectral lines; S and T on an astigmatism graph label sagittal and tangential focal curves. The prescription of the eyepiece is given following the system outlined in the text.

Fig. 6
Fig. 6

Ray-tracing analysis of the Plossl eyepiece from Ref. 2. Axes are as in Fig. 5.

Fig. 7
Fig. 7

Ray-tracing analysis of a high-index mixed glass triplet eyepiece. Axes are as in Fig. 5. The paraboloidal coma has been subtracted from spot diagrams.

Fig. 8
Fig. 8

Ray-tracing analysis of a low-index mixed glass triplet eyepice. Axes are as in Fig. 5. The paraboloidal coma has been subtracted from spot diagrams.

Equations (4)

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2 d 2 + ( 3 - 7 e ) d - 4 ( e - 3 ) 2 = 0.
P 3 = [ 3 - 2 d - e ] / ( 3 d )
E = [ d - 3 / ( 2 - 3 P 3 ) ] / { P 3 [ d - 3 / ( 2 - 3 P 3 ) ] - 1 } .
j = Q t A j Q + B j t Q + C j , j = 1 , 2 , 3 ,

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