Constructional Data for a Cemented Objective of Barium Crown and Flint

Constants of Glass upon Which Tables are Based

First Radius of an F/5 Doublet² Corrected for Spherical and Chromatic Aberration

2 Barium Crown, Number 1, is to be employed in this series of lenses. The crown component faces the object (assumed at an infinite distance). In all cases the first radius is positive, i.e., convex towards the object.

Second Radius of an F/5 Doublet³ Corrected for Spherical and Chromatic Aberration

3 Barium Crown, Number 1, is to be employed in this series of lens. The second radius is negative in all cases, i.e., concave towards the object. Thickness of crown component .04 f.

Third Radius of an F/5 Doublet⁴ Corrected for Spherical and Chromatic Abberration

4 Barium Crown, Number 1 is to be employed in this series of lens. The third radius is positive in all cases, i.e., convex towards the object. Thickness of flint component .02 f.

Departure from Sine Conditions for F/5 Doublet⁴ Corrected for Spherical and Chromatic Aberration

4 In the above table there is tabulated, in terms of f, the difference between the equivalent focal length of D rays entering at the axis and the value of h/sin α′ for a ray incident at a point distant f/10 from the axis. In all cases there is undercorrection, that is, the equivalent focal length of the f/10 ray is less than that for the axial ray.

First Radius of an F/5 Doublet⁵ Corrected for Spherical Aberration and Sine Condition

5 The crown component faces the object (assumed at an infinite distance). In all cases the first radius is positive, i.e., convex towards the object.

Second Radius of an F/5 Doublet⁶ Corrected for Spherical Aberration and Sine Condition

6 The second radius is negative in all cases, i.e., concave towards the object. Thickness of crown component .04 f.

Third Radius of an F/5 Doublet⁷ Corrected for Spherical Aberration and Sine Condition

7 The third radius is negative in all cases, i.e., concave towards the object. Thickness of flint component .02 f.

Axial Chromatic Aberration for F/5 Doublet⁸ Corrected for Spherical Aberration and Sine Condition

8 In the above table there is tabulated, in terms of f, the difference between the equivalent focal length for the F and C rays near the axis. In all cases there is undercorrection, i.e., the equivalent focal length for the F ray is less than that for the C ray.

Table 1

Constants of Glass upon Which Tables are Based

Table 2

First Radius of an F/5 Doublet² Corrected for Spherical and Chromatic Aberration

2 Barium Crown, Number 1, is to be employed in this series of lenses. The crown component faces the object (assumed at an infinite distance). In all cases the first radius is positive, i.e., convex towards the object.

Table 3

Second Radius of an F/5 Doublet³ Corrected for Spherical and Chromatic Aberration

3 Barium Crown, Number 1, is to be employed in this series of lens. The second radius is negative in all cases, i.e., concave towards the object. Thickness of crown component .04 f.

Table 4

Third Radius of an F/5 Doublet⁴ Corrected for Spherical and Chromatic Abberration

4 Barium Crown, Number 1 is to be employed in this series of lens. The third radius is positive in all cases, i.e., convex towards the object. Thickness of flint component .02 f.

Table 5

Departure from Sine Conditions for F/5 Doublet⁴ Corrected for Spherical and Chromatic Aberration

4 In the above table there is tabulated, in terms of f, the difference between the equivalent focal length of D rays entering at the axis and the value of h/sin α′ for a ray incident at a point distant f/10 from the axis. In all cases there is undercorrection, that is, the equivalent focal length of the f/10 ray is less than that for the axial ray.

Table 6

First Radius of an F/5 Doublet⁵ Corrected for Spherical Aberration and Sine Condition

5 The crown component faces the object (assumed at an infinite distance). In all cases the first radius is positive, i.e., convex towards the object.

Table 7

Second Radius of an F/5 Doublet⁶ Corrected for Spherical Aberration and Sine Condition

6 The second radius is negative in all cases, i.e., concave towards the object. Thickness of crown component .04 f.

Table 8

Third Radius of an F/5 Doublet⁷ Corrected for Spherical Aberration and Sine Condition

7 The third radius is negative in all cases, i.e., concave towards the object. Thickness of flint component .02 f.

Table 9

Axial Chromatic Aberration for F/5 Doublet⁸ Corrected for Spherical Aberration and Sine Condition

8 In the above table there is tabulated, in terms of f, the difference between the equivalent focal length for the F and C rays near the axis. In all cases there is undercorrection, i.e., the equivalent focal length for the F ray is less than that for the C ray.