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References

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  1. T. T. Saha, “Transverse Ray Aberrations for Paraboloid–Hyperboloid Telescopes,” Appl. Opt. 24, 1856 (1985).
    [CrossRef] [PubMed]
  2. W. B. Wetherell, M. P. Rimmer, “General Analysis of Aplanatic Cassegrain, Gregorian, and Schwarzschild Telescopes,” Appl. Opt. 11, 2817 (1972).
    [CrossRef] [PubMed]
  3. J. D. Mangus, “Optical Design of Glancing Incidence XUV Telescopes,” Appl. Opt. 9, 1019 (1970).
    [CrossRef] [PubMed]

1985 (1)

1972 (1)

1970 (1)

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Figures (2)

Fig. 1
Fig. 1

Cross section of a despaced Wolter type II telescope.

Fig. 2
Fig. 2

Value of k/(f/#)2 vs obscuration ratio for maximum glancing angles (θmax) from 8° to 13°.

Equations (13)

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Δ z = m 2 d ,
tan γ = d sin θ r d cos θ .
tan γ = H cos α + Δ z sin α q H sin α + Δ z cos α .
H = q d sin θ Δ z r sin α + Δ z d sin ( θ + α ) r cos α d cos ( θ + α ) .
H = d sin 2 θ sin α cos α Δ z tan α .
Δ z = d sin 2 θ sin 2 α .
Δ z = d [ 2 p 2 h 2 + ( 2 f p ) 2 h 4 ] ,
H = d ( 4 f p 2 h 3 + 3 p 2 f h ) Δ z h f .
R rms 2 = 1 A R min R max 0 2 π H 2 hdhd β ,
Δ z rms = d k ,
k = R min R max ( 4 p 2 h 2 + 3 p 2 f 2 ) hdh R min R max h 3 f 2 d h .
k = 8 f 2 p 2 ln ( R max 2 R min 2 ) R max 4 R min 4 + 6 p 2 R max 2 + R min 2 .
k = 32 ( f / # ) 2 tan 2 ( θ max ) 2 1 4 ln ( 1 2 ) ,

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