Abstract

Materials suitable for the construction of achromatic lenses corrected for four wavelengths are selected by the use of three graphs which are the three orthographic projections of a three-dimensional graph in P, Q, and V; where V=(nd−1)/(nFnC), P=(nhnC)/(nFnC), and Q=(n1.014nC)/(nFnC). One set of three glasses, Schott PKS-1, F-1, and KzFS-4, has been selected, from which a four-color achromat has been designed. Analysis at 12 wavelengths shows this design to have negligible residual chromatic aberration. It is consequently a superchromat in accordance with Herzberger’s prediction.

© 1960 Optical Society of America

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References

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  1. R. E. Stephens, J. Opt. Soc. Am. 49, 398–401 (1959).
    [CrossRef]
  2. Max Herzberger, Optica Acta (Paris) 6, 197–215 (1959).
    [CrossRef]

1959 (2)

R. E. Stephens, J. Opt. Soc. Am. 49, 398–401 (1959).
[CrossRef]

Max Herzberger, Optica Acta (Paris) 6, 197–215 (1959).
[CrossRef]

Herzberger, Max

Max Herzberger, Optica Acta (Paris) 6, 197–215 (1959).
[CrossRef]

Stephens, R. E.

J. Opt. Soc. Am. (1)

Optica Acta (Paris) (1)

Max Herzberger, Optica Acta (Paris) 6, 197–215 (1959).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

V=(nd−1)/(nFnC), P=(nhnC)/(nFnC), Q=(n1.014nC)/(nFnC).

Equations (11)

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n λ = A + B λ 2 + C ( λ 2 - 0.028 ) + D ( λ 2 - 0.028 ) 2 .
ϕ 1 + ϕ 2 + ϕ 3 + ϕ 4 = Φ ( ϕ 1 / V 1 ) + ( ϕ 2 / V 2 ) + ( ϕ 3 / V 3 ) + ( ϕ 4 / V 4 ) = 0 ( ϕ 1 / U 1 ) + ( ϕ 2 / U 2 ) + ( ϕ 3 / U 3 ) + ( ϕ 4 / U 4 ) = 0 ( ϕ 1 / W 1 ) + ( ϕ 2 / W 2 ) + ( ϕ 3 / W 3 ) + ( ϕ 4 / W 4 ) = 0 ,
ϕ 1 + ϕ 2 + ϕ 3 = Φ ( ϕ 1 / V 1 ) + ( ϕ 2 / V 2 ) + ( ϕ 3 / V 3 ) = 0 ( ϕ 1 / U 1 ) + ( ϕ 2 / U 2 ) + ( ϕ 3 / U 3 ) = 0 ( ϕ 1 / W 1 ) + ( ϕ 2 / W 2 ) + ( ϕ 3 / W 3 ) = 0.
| ( 1 / V 1 ) ( 1 / V 2 ) ( 1 / V 3 ) ( 1 / U 1 ) ( 1 / U 2 ) ( 1 / U 3 ) ( 1 / W 1 ) ( 1 / W 2 ) ( 1 / W 3 ) | = 0 ,
| 1 1 1 ( 1 / V 1 ) ( 1 / V 2 ) ( 1 / V 3 ) ( 1 / U 1 ) ( 1 / U 2 ) ( 1 / U 3 ) | 0.
ϕ 1 + ϕ 2 = Φ ( ϕ 1 / V 1 ) + ( ϕ 2 / V 2 ) = 0 ( ϕ 1 / U 1 ) + ( ϕ 2 / U 2 ) = 0 ( ϕ 1 / W 1 ) + ( ϕ 2 / W 2 ) = 0.
( V 1 / V 2 ) = ( U 1 / U 2 ) = ( W 1 / W 2 ) ,
1 / U = P / V             and             1 / W = Q / V .
| 1 1 1 P 1 P 2 P 3 Q 1 Q 2 Q 3 | = 0 ,
ϕ 1 = 4.83 ( PKS- 1 ) , ϕ 2 = 3.38 ( F- 1 ) , ϕ 3 = - 7.21 ( KzFS- 4 ) .
K 1 = 9.337 , K 2 = 5.400 , K 3 = - 11.754.