Abstract

The theory of the Baker-Schmidt flat-field telescope with tilted reflecting corrector and an analysis of the performance of several different all-reflecting Baker-Schmidt systems is presented. A comparison is given between the performance of a flat-field Baker-Schmidt and an all-reflecting Schmidt telescope of similar focal ratio.

© 1978 Optical Society of America

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References

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  1. K. Henize, “The Role of Surveys in Space Astronomy,” in Optical Telescope Technology, NASA-SP-233 (U.S. GPO, Washington, D.C., 1970).
  2. D. Korsch, Appl. Opt. 13, 2005 (1974).
    [CrossRef] [PubMed]
  3. E. Linfoot, Recent Advances in Optics, (Oxford U.P., New York, 1955).

1974

Henize, K.

K. Henize, “The Role of Surveys in Space Astronomy,” in Optical Telescope Technology, NASA-SP-233 (U.S. GPO, Washington, D.C., 1970).

Korsch, D.

Linfoot, E.

E. Linfoot, Recent Advances in Optics, (Oxford U.P., New York, 1955).

Appl. Opt.

Other

E. Linfoot, Recent Advances in Optics, (Oxford U.P., New York, 1955).

K. Henize, “The Role of Surveys in Space Astronomy,” in Optical Telescope Technology, NASA-SP-233 (U.S. GPO, Washington, D.C., 1970).

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of all-reflecting Baker-Schmidt telescope with tilted corrector rotated through angle θ about y axis. Broken line shows chief ray from source at center of object field. All symbols are defined in text.

Fig. 2
Fig. 2

Root mean square spot diameters in sec of arc for three BST systems, where x denotes chief ray in xz-plane, and y denotes chief ray in yz-plane.

Fig. 3
Fig. 3

Comparison of rms spot diameters for a BST and ARST system. Each system if f/3.0 with θ = 9.5°.

Tables (2)

Tables Icon

Table I Baker-Schmidt Telescope Parameters for K1 = 0 (Spherical Primary) and η = 0.2 (Positive Back Focal Distance)

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Table II Aspheric Coefficients of Corrector Plate for BST and ARST Systems

Equations (16)

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z = ( ρ 2 / 2 R c ) + d ρ 4 + e ρ 6 + g ρ 8 ,
d R c = 1 / 3 ρ 0 2 .
z = ( cos θ ) 1 [ ( ρ 2 / 2 R c ) + d ρ 4 + e ρ 6 + g ρ 8 ] , ρ 2 = x 2 cos 2 θ + y 2 .
m = 1 / ( 1 k ) = [ ( 1 k ) F ] / ( k F η ) .
k = 1.50 ( 1.25 η / F ) 1 / 2 .
AST 3 = const · ( ϕ 2 / F 1 ) · ( a σ 2 2 b σ + c ) ;
CM 3 = const · ( ϕ / F 1 2 ) · ( a σ b ) ;
SA 3 = const · ( 1 / F 1 3 ) · ( a + 8 d R 1 3 ) ;
a = K 1 + 1 k 2 ( 2 k ) 2 k 4 K 2 ,
b = 2 k 2 [ ( 2 k ) ( 3 k ) k ( 1 k ) K 2 ] ,
c = 4 k 2 [ ( 3 k ) 2 + ( 1 k ) 2 K 2 ] .
K 1 { 4 k 2 [ K 2 ( 1 k ) 2 + ( 3 k ) 2 ] } = k 2 [ K 2 ( 1 k ) ( 1 + 3 k ) + ( 1 k ) 2 ] .
σ = 2 k 2 [ ( 2 k ) ( 3 k ) k ( 1 k ) K 2 ] 1 + K 1 k 2 [ ( 2 k ) 2 + k 2 K 2 ] .
d = a / 8 R 1 3 ,
d = ( 1 / 64 D 3 ) ( m 3 a / F 3 ) .
α = const · θ · m 3 a / F 3 .

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