The aberrations of a spherical mirror of moderate aperture (≈ f/5) can be corrected by a lens system near the focal plane. A four-element lens system is necessary to provide a satisfactory state of correction over a full field of 0.5 deg. The design of such a lens system is described with emphasis on the intrinsic properties of each component and the logic behind the choice of layout.
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Unit System Design, No Atmospheric Dispersion Compensatora
Radius
Separation
Incident Medium
−2.000000
0
Air–primary
−0.134975
0.860892
Air
−1.798833
0.003780
BK7
0.052282
0.000840
Air
0.078924
0.005039
BK7
−0.023470
0.120525
Air
0.188149
0.002520
BK7
0.023592
0.000840
Air
−0.191381
0.002940
BK7
∞
0.006537
Air–image
A negative radius implies a surface concave to the incident light. Similarly, a positive radius implies a surface convex to the incident light.
Table II
Design No. 1, No Atmospheric Dispersion Compensator
Radius (mm)
Separation (mm)
Incident Medium
−4762.5
0
Air–primary
−321.409
2050.000
Air
−4283.470
9.000
BK7
124.496
2.000
Air
187.938
12.000
BK7
−55.888
287.000
Air
448.030
6.000
BK7
56.178
2.000
Air
−455.725
7.000
BK7
∞
15.567
Air–image
Table III
Unit System Design, With Atmospheric Dispersion Compensatora
Radius
Separation
Incident Medium
Tilt (μrad)
−2.000000
0
Air
−0.129200
0.860892
Air
−521
0.188868
0.003780
BK7
2537
−0.910462
0.005039
F2
0.047962
0.000840
Air
0.136103
0.005039
BK7
3275
0.065245
0.003780
F2
585
−0.016084
0.114646
Air
−0.023687
0.002520
BK7
0.068160
0.000840
Air
−0.098836
0.002940
BK7
∞
0.006247
Air
The surfaces of the atmospheric dispersion compensator (surfaces 2, 3, 6, and 7) are configured for a zenith angle of 60° and have their plane of symmetry parallel to the zenith meridian. For a zenith angle of 0° the signs of the tilts of surfaces 6 and 7 change and the plane of symmetry becomes perpendicular to the zenith meridian.
Table IV
Design No. 2, With Atmospheric Dispersion Compensator
Radius (mm)
Separation (mm)
Incident Medium
Tilt (μrad)
−4762.5
0
Air
−307.657
2050.000
Air
−521
449.742
9.000
BK7
2537
−2168.038
12.000
F2
114.210
2.000
Air
324.095
12.000
BK7
3275
155.364
9.000
F2
585
−38.301
273.000
Air
−56.405
6.000
BK7
162.305
2.000
Air
−235.353
7.000
BK7
∞
14.876
Air
Tables (4)
Table I
Unit System Design, No Atmospheric Dispersion Compensatora
Radius
Separation
Incident Medium
−2.000000
0
Air–primary
−0.134975
0.860892
Air
−1.798833
0.003780
BK7
0.052282
0.000840
Air
0.078924
0.005039
BK7
−0.023470
0.120525
Air
0.188149
0.002520
BK7
0.023592
0.000840
Air
−0.191381
0.002940
BK7
∞
0.006537
Air–image
A negative radius implies a surface concave to the incident light. Similarly, a positive radius implies a surface convex to the incident light.
Table II
Design No. 1, No Atmospheric Dispersion Compensator
Radius (mm)
Separation (mm)
Incident Medium
−4762.5
0
Air–primary
−321.409
2050.000
Air
−4283.470
9.000
BK7
124.496
2.000
Air
187.938
12.000
BK7
−55.888
287.000
Air
448.030
6.000
BK7
56.178
2.000
Air
−455.725
7.000
BK7
∞
15.567
Air–image
Table III
Unit System Design, With Atmospheric Dispersion Compensatora
Radius
Separation
Incident Medium
Tilt (μrad)
−2.000000
0
Air
−0.129200
0.860892
Air
−521
0.188868
0.003780
BK7
2537
−0.910462
0.005039
F2
0.047962
0.000840
Air
0.136103
0.005039
BK7
3275
0.065245
0.003780
F2
585
−0.016084
0.114646
Air
−0.023687
0.002520
BK7
0.068160
0.000840
Air
−0.098836
0.002940
BK7
∞
0.006247
Air
The surfaces of the atmospheric dispersion compensator (surfaces 2, 3, 6, and 7) are configured for a zenith angle of 60° and have their plane of symmetry parallel to the zenith meridian. For a zenith angle of 0° the signs of the tilts of surfaces 6 and 7 change and the plane of symmetry becomes perpendicular to the zenith meridian.
Table IV
Design No. 2, With Atmospheric Dispersion Compensator
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