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  1. C. Menchaca, D. Malacara, “Directional Curvatures in a Conic Surface,” Appl. Opt. 23, 3258 (1984).
    [CrossRef] [PubMed]

1984 (1)

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Figures (1)

Fig. 1
Fig. 1

Geometry of an aspheric surface relevant to computation of the measure of manufacturability μ.

Tables (1)

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Table I Preliminary Estimate of the Correspondence Between Numerical Values of μ and the Degree of Difficulty Involved in Fabricating an Aspheric Surface

Equations (8)

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μ = ( d R / d x ) avg = x 1 x 2 ( d R / d x ) d x / x 1 x 2 d x = [ R ( x 2 ) R ( x 1 ) ] / ( x 2 x 1 ) .
z = c s 2 { 1 + [ 1 ( K + 1 ) c 2 s 2 ] 1 / 2 } 1 + A 1 s 4 + A 2 s 6 + ,
R = [ 1 + ( d z / d x ) 2 ] 3 / 2 ( d 2 z / d x 2 ) .
d z / d x = x c / T ,
d 2 z / d x 2 = c / T 3 ,
R = c 1 ( 1 c 2 K x 2 ) 3 / 2 .
d z / d x = x c / T + 4 A 1 x 3 + 6 A 2 x 5 + ,
d 2 z / d x 2 = c / T 3 + 12 A 1 x 2 + 30 A 2 x 4 + ,

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