SECTION III MODIFIED BIOTAR AND CATADIOPTRIC SYSTEMS

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP67B00945R000200240001-2
• Release Decision: RIPPUB
• Original Classification: K
• Document Page Count: 34
• Document Creation Date: December 27, 2016
• Document Release Date: May 29, 2014
• Sequence Number: 1
• Publication Date: January 1, 1960
• Content Type: REPORT

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)
SECTION III
MODIFIED BIOTAR AND CATADIOPTRIC SYSTEMS
by
It was clear at the start of this study that an advance. in the state
of the art would be necessary to achieve the type of imagery required.
A catadioptric system seemed to be the most plausible approach because
_secondary spectrum is most_easqy_con,troll,ad in suck'systems,L_However,
the advantages of an unsilhouet,ted.aperture led to a preliminary examin-
'ation.of a refractive form.? -
. A lens form invented by Dr. James G. Baker and built by the Perkin-
Elmer Corporation as a 24-inch f/3.5 apochromat was chosen as a possible
basic-form. This lens is essentially a 6-element Biotar with five
additional elements mounted between the two halves of the Biotar, as
shown in Figure 3 . It was hoped that by the use of glasses with im-
proved deviation from the standard partial dispersions, the number of
elements required for secondary spectrum correction could be reduced.
For this purpose Schott type KzFS-4 was tried in the central group, and
Schott type LaF-10 was tried as the glass to be used in the negative
elements of the outer groups.
The investigation of this form was continued until it was determined
that correcting imagery and secondary spectrum to the extent necessary
would require more elements than there were in Baker's original form.
Since the elements are rather thick, such a design would be very heavy
and much of the advantage of the speed of an f/2 lens would be lost due
to the light losses in transmission through the lens. Meeting the
requirement of 607 transmission through the lens seemed hopeless with
this form.
For the catadioptric system, two additional aims were added to
those in the specifications to make the result more useful. These were
a flat field, and the positioning of the image plane where it would be
easily accessible.
-
The flat field cameras described by Dr. James G. Baker in Proceed-
ings of The American Philosophical Society, Vol. 82, pp. 339-349(1940)
were chosen as a promising starting point. For a description of these
optical systems, see also E.H. Linfoot, Recent Advances in Optics, London)
8
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Figure 3. 24" f/3.5 Apochromat, Optical Design
..,
F. P.
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Oxford University Press, 1955, pp. 257-270. These cameras consist of
two mirrors arranged in the Cassegrain configuration with an aspheric
corrector plate in front of the mirrors.
Of the Baker cameras, the form which he called type B was chosen
as the easiest to fabricate. In this system the primary mirror is
moderately aspheric and the secondary mirror is spherical.
In the publication mentioned above, Dr. Baker calculated the maxi-
mum ray error in a 12-inch f/2.5 system at a semi-field angle of 4
degrees as .009 mm. According to the aims of the present contract,
807 of the rays traced for a spot diagram in a 12-inch f/2.0 system
with a semi-field of 5 degrees are to have a maximum error of .0014 mm.
Since all the rays of a spot diagram for an'f/2.5 system include only
647 of the rays of an f/2.0 system of the same focal length, the im-
provement desired is a factor.of the order of 10.
The limiting error in the 'Baker cameras is one known as oblique
spherical aberration, a variation of spherical aberration with field
angle. This arises mainly at the corrector plate which is foreshortened
for off-axis pencils, making them tend to be over-corrected. To reduce
this effect, a concentric shell with its center of curvature at the
corrector plate was introduced. Such a shell introduces over-corrected
spherical aberration which by symmetry is th-e same in all parts of the
field if the pupil of the system is at its center of curvature. The
over-correction required of the corrector plate is thus reduced, thereby
reducing the variation of this over-correction with field angle.
The introduction of a concentric shell does not effect any of the
other third order aberrations except Petzval sum and longitudinal color..
In accordance with a suggestion made by Dr. Baker, the corrector
plate was made achromatic, that is, it was made of two plates of opposite
asphericity, one of crown glass and one of flint glass. Under these
conditions, the variation of spherical aberration with color is easily
controlled. Table III gives the third-order aberrations and color
variations of the final system design.
The Petzval sum was restored by departing from the equality of
curvatures of the two mirrors. The parameters available for correcting
this system are the thickness and location of the concentric shell,
the distribution of asphericity between the primary mirror and corrector
plates, and the spacing between the elements subject to the condition
that the image plane remain accessible.
Extended computations resulted in the system shown in Figure 5.
As seen in the spot diagrams, the imagery is better than required by
the specifications throughout the 5 degree semi-field for all light
in the spectral range e (5461) to C (6563). Table IV gives the
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coordinates of the points from which the spot diagrams were plotted.
These were obtained by tracing rings through the system. In the spot
diagrams the circle represents the first Airy dark band for the wave-
length in question.
The size of the secondary mirror (R of Figure 4) was chosen so
that 257 of the energy of an axial pencil is obscured. Enhanced reflec-
tive surfaces on the two mirror surfaces would bring their reflectivity
to 98%. Assuming a transmission_of_9_8%_at each air-glass surface and
allowing for the absorption losses in glass as given on Smithsonian
Physical tables, ninth revised edition, 1954, p. 512, Table 526, the
transmission of this system was calculated to be 64%. This is somewhat
better than the 60% transmission required by the specifications.
Taking the pupil stop in the position ,shown, the relative trans-
mission at 5 degrees half field was computed as 83%. This again is
-somewhat better than the 75% called for in the specifications. Figures
9, 13, and 15 show the actual shape of the pupil at each field angle
for which spot diagrams are shown.
The length of the system measured from its front surface to the
focal plane is 17.05 inches 'or 1.42 times its focal length. For this
system, .this is the minimum length for which no baffling is required.
The image plane is flat and accessible. The spot diagrams are
taken in an image plane 155.182 mm from the secondary mirror.
The catadioptric system shown in Figure 4 meets all the objectives
stated in the specifications. For an accurate description of the per-
formance of the system, an analysis would have to be made taking diffrac-
tion into account. However, this catadioptric system will give better
imagery than any hitherto known 12-inch f/2.0 anastigmat which covers
a 10-degree total field.
11
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TABLE II
CATADIOPTRIC SYSTEM, LENS FORMULA:
,
Surface
Glass
Air
Glass
Clear
Number
Radius
Thickness
Separation
Type .
Nc
Nd
N
Aperture
1
5.922
611/588
1.60793
1.61100
1.61357
176.0
2*
+913.9
0.148
174.9
3**
+928.8
7.402
621/362
1.61610
1.62100
1.62520
174.9
4
151.052
174.5
,
5
-155.74
65.920
517/645
1.51461
1.51700
1.51899
152.7
6
-221.66
158.755
180.0
,
7***
-342.77
-111.400
207.6
8
-304.13
155.182....*
91.62
*ASPHERIC: x = 5.4712x10-4y2 + 5.9702x10-9y4 -1.9969x10-13y6 -1.1367x10 y-17-8 - 1.137x10- 22y10
-
**ASPHERIC: x - 5.3830x10-4y2 + 5.9185x10-9y4 -1.2377x10-13y6 -7.0457x10-180 -7.047x1013y10
***ASPHERIC: x -342.77-(342.772-y2)1/2 -4.316x10-11y4 -8.90x10- y 16..6 25y10
+ .3.2x10-
****Distance to plane of best imagery (Geometrical).
Stop is 123.5mm from surface No. 4 .
Diameter of stop is 152.3mm for f/2.0
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TABLE III
CATADIOPTRIC SYSTEM
THIRD-ORDER ABERRATIONS AND CHROMATIC VARIATION
Surface
B
F
C
E
ab
No.
dB
dF
- dC
dE
1
.00000
.00000
.00000
-.00124
.00000
-.00092
.00000
.00000
.00000
-..00005
2
.04079
.00181
.00118
.00124
.00142
.00092
.00039
.00002
.00001
.00000
3
-.04109
-.00179
,
-.00118
-.00125
-.00226
-.00148
-.00061
-.00003
-.00001
.00000
4
.60000
.00000
.00000
.00125
.00000
.00148
.00000
_
.00000
..00000
.00000
5
.07969
.00000
.00000
.00000
.00427
.00000
.00024
.00000
.00000
.00000
6
-.02471
.00000
.00000
.00000
-.00343
.00000
-.00005
.00000
.00000
.00000
7
-.11096
-.00537
-.00047
.00033
.00000
.00000
8
.05606
.00540
.00052
-.00107
.00000
.00000
2
-.00022
.00005
-.00005
-.00074
.00000
.00000
-.00003
-.00001
.00000
-.00000
Note: y=3.0276S, u=0, yp=.01275, up=.08749, u'8= -.25, P= -.00221,
dP=.00006, ?.=.00005. All dimensions in inches, first line is
i
3rd.order aberration, second line chromatic variation (e-C).
Positive values denote overcorrected aberrations.
13
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14
Optical Design
Catadioptric System,
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Figure 5. Catadioptric System, Axial Pupil
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1!"1"P
? ?? to ?
a.*
? ?
ea
Figure 6. Spot Diagram, Axial Bundle, X - 656.3 (C-line)
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? ? .? ?
? ? ? ? ? ? ?
:
sit
? ? ? ? ? ? ?
? ? ? ?
Figure 7. Spot Diagram, Axial Bundle, X - 5893 (D-line)
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? ????? :?
? ?
Figure 8. Spot Diagram, Axial Bundle, % - 5461 (e-line)
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o?
so.
Figure 9. Pupil 3= Off-Axis
19
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? ?
? ?
Zoo: :??
? ? ? ?0 ? ? ?
? ? ? ?
F-,gLre 10. S?..) Diagram, Off-AYis _ .563
20
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I -V
? ?
? so.*? ?
? ? ??? ???? ??? ? ?
? ? ? ????? ? ? ?
?
??
Figure 12. Spot Diagram, 3' Off-Axis X = 5461 (e-line)
22
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? A'
Fiure 11. Spot Diaram, 3 Off-Axis A. 5893 (D-]itl)
21
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(
vl
,/
, --.
/- -...
/
/
/
/
/ \
/ \
13. 4- Off-Axis
23
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?
??
??
14. Spo:: DiaL.rnin, Off-Ax i s X. ? 6563 (C- JLe)
24
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.? we^ ^ ? ?
? :IP ? ?
?
? ? ? ? ?
? ?
I, ^ t
? ?
? ? ???? ? ?
e?
Spot: 1XaL:aill, 4- Ofi-Axis X 5893 (D-:iLc)
25
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S. ??
???
? 10.? ? r
? ?
?
Figure 16. S.)ot Dia fam, 4- Off-Alf: (e-iiLe)
2.
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Figure 17. Pulpil 5' Off-Axis
27
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7 . ?
? ?? ?
?? ?
? .? ?
4. ?
? ? ? ?
Figure 18. Spot Diagram, 5^ Off-Ads )\. - 6563 (C-line)
28
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00 ? ? ??
? Z ? ? 0: ?
?
? ? ?
. ?
? ???
? ?
_
Fu:2 19. S30t Dia :am 5' Off-Axis % - 5893 (D-lin.e.)
29
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?? ?
? I ?
? ?
? ?
7
Fj3ure 20. S?ot Diaram, 5 Off-Axis k - 5461 (e-Ane)
30.
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TABLE IV
CATADIOPTRIC SYSTEM
COORDINATE POINTS FOR SPOT DIAGRAMS
Axis 80 Equal Energy Points
C - LIGHT R - .00160 mm
?Z
+.0004
.0000
-.0004
.0000
+.0001
.0000
-.0001
.0000
-.0011
-.0000
.0011
.0000
.0004
.0001
-.0004
.0001
.0003
.0001
-.0003
.0001
-.0005
.0001
.0005
-.0001
.0003
.0003
-.0003
.0003
.0001
.0001
-.0003
.0001
-.0003
-.0001
.0003
-.0001
.0000
.0004
.0000
.0004
.0000
.0003
? .0000
.0003
.0001
.0003
-.0001
.0003
-.0000
-.0000
.0000
-.0000
-.0013
-.0009
.0013
-.0009
.0000
.0001
.0000
.0001
-.0000
.0000
.0000
.0000
-.0001
-.0003
.0001
-.0003
-.0009
-.0013
.0009
-.0013
-.0000
-.0011
.0000
-.0011
-.0004
-.0015
.0004
-.0015
31
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TABLE IV (cont'd.)
Axis 80 Equal Energy Points
D - LIGHT R , .00144 mm
_x_.
tZ
Y
tZ
.+.0013
+.0001
-.0013
4.0001
+.0013
.0000
-.0013
.0000
+.0001
-.0000
-.0001
-.0000
+.0010
+.0005
-.0010
+.0005
+.0013
+.0004
-.0013
+.0004
+.0008
+.0001
-.0008
+.0001
4.0008
+.0008
-.0008
4.0008
+.0010
+.0008
-.0010
+.0008
+.0008
+.0004
-.0008
+.0004
.
+.0001.
+.0013
-.0001
+.0013
,
+.0005
+.0011
-.0005
+.0011
+.0008
4.0010
-.0008
+.0010
,
+.0008
+.0008
L.0008
+.0008
-.0000
-.0000 .
+.0000
-.0000
.0000
+.0013
.0000
4.0013
_+.0004__ '
+,0011
-.0004
+.0011
+.0004
4.0008
-.0004
+.0008
-.0000
V -.0000
4.0000
-.0000
-.0000
4.0001
..0000
4V.0001
-.0000
-.0001
-.0000
-.0001
32
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TABLE IV(cont'd.) ?
Axis 80 Equal Energy Points
e - LIGHT R = .00133 mm
Y
+Z
Y.
tZ
.
+.0003
.0000
-.0003
.0000
.0000
.0000
.0000
.0000
-.0013
.0000
+.0013
-.0000
+.0003
+.0001
.0003
+.0001
+.0001
.0000
-.0001
.0000
-.0005
.0001
+.0005
-.0001
+.0003
+.0003
-.0003
+.0003
-.0001
+.0000
-.0001
+.0001
-.0004
-.0003
+.0004
-.0003 .
.0000
+.0003
.0000
+.0003
+.0001
+.0003
.0001
+.0003
+.0001
+.0001
-.0001
+.0001
-.0001 ,
.0001
+.0001
-.0001
-.0013
-.0010
+.0013
-.0010
.0000 .
.0000
.0000
.0000
.0000
-.mob
+.0000
-.0000
-.0003
-.0004
+.0003
-.0004
-.0010
-.0013
+.0010
-.0013
-.0000
-.0013
+.0000
-.0013
-.0004
-.0015
+0004
-.0015
33
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?
TABLE IV (cont'd.)
3? 80 Equal Energy Points
C LIGHT
? LY
?Z
i_NY
?Z
.0008
-.0000
.0001
-.0000
.0004
-.0000
.0000
-.0000
-.0004
-.0001
.0010
-.0000
.0008
-.0000
.0001
-.0003
+.0007
-.0001
.0000
-.0000
.0001
-.0003
_0004
-.0001
.0007
-.0001
.0001
-.0003
.0007
-.0301
.0000
-.0001
:0001
-.0005
.0003
-.0003
.0004
-.0003
.0003
-:0003
.0005
-.0001
.0001
-.0001 .
.0007
-.0001
.0000
-.0001
.0004
-.0004
.0000
-.0001
-,.0003
-.0009
.0008
-.0007
-0004 .
-.0001
.0003 .
-.0000
.0005
-.0003
.0001
-.0001
.0004
-.0005
.0001
-.0003
-.0001
-.0010
.0005
-.0008
.0003
-.0008
.0003
-.0005
.0001
-.0010
.0004
-.0008
34
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TABLE IV (cont'd.)
3? 80 Equal Energy Points
D LIGHT
Ln7
?z
Ly.
_ ?z
+%0014
.0000
-.0008
.0000
+.0013
-.0000
-.0013
.0001
+.0006
-.0000
-.0008
.0000
+.0013
+.0001
-.0007
.0001
+.0013
+.0001
-.0011
.0001
+.0009
.0000
-.0011
.0001
+.0008
.0004
-.0007
.0004
+.0011
.0003
-.0010
.0004
+.0009
.0000
7.0010
.0003
,
.0004
.0005
.opoo
.0005
,
.0008
.0005
-.0004
.0007
.0010 .
.0005
-.0008
.0008 '
.0010
.0003
-.0010
.0008
.0005
-.0001
-.0008
.0003
.0004
.0009
.0000
.0009
.0006
.0008
-.0004
.0010
.0008
.0005
-.0006
.0009
.0005
.0000
-.0006
.0005
.0061
.0006
.0000
.0007
35
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sT1
TABLE D./ (contid.)
4? 76 Equal Energy Points
C LIGHT
AY
1Z
AY
?Z
.0009
-.0001
.0005
-.0001
.0007
-.0001
.0004
-.0001
.0009
-.0004
.0013
-.0000
.0008
-.0004
.0005
-.0005
.0004
-.0004
.0003
-.0004
.0008
-.0005
.0009
-.0004
.0008
-.0005
.0004
-.0007
.0007
-.0005
.0001
-.0004
. .0007
-,0007
.0005
-.0005
.0007
-.0007
.0005
-.0008
.0009
-.0007
.0004
-.0005
.0008
-.0007
.0001
-.0004
.0007
-.0004
.0001
-.0004
.0008
-.0004
.0008
-.0007
.0008 .
-.0007
.0004
-.0003
.0007
-.0008
.0003
-.0001
.0005
-.0003
.0001
-.0003
.0007
-.0005
.0004
-.0005
.0003
-.0003
.0003
-.0003
37
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TABLE IV (cont'd.)
4?
76
Equal Energy Points
D
LIGHT
.1'
tZ
Ay
tZ
.0013
-.0000
-.0005
_
-.0000
.0013
-.0000
-.0009
.0000
.0013
.0000
-.0004
-.0000
.0013-.0000
?
-.0004
-.0001
.0011
-.0001
-.0009
.0000
.0010
-.0000
-.0007
.0000
.0013
-.0000
-.0004
-.0000
.0013
-.0000
-.0009
.0001
.0005
,
.0001
-.0009
.0001
.0009
.0001
+.0001
.0000
.0011
.0001
-.0007
.0001-
.0011
.0000
.
-.6008
.0004
.0005
.0007
-.0010
.0005
.0009
.0005
-.0008
.0004
.0010
.0004
-
.0000
-.0008
.0011
.0003
-.0004
.0009
.0003
.0010
-.0008
.0009
.0007
.0008
-.0009
.0008
.0000
.0011
-.0004
.0011
38
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
TABLE IV (cont'd.)
4?
76 Equal Energy Points
e LIGHT
AY
?Z
AY
4-Z .
.0004
-.0001
.0008
-.0001
.0000
-.0001
.0007
-.0001
.0005
-.0004
.0013
-.0001
.0001
-.0004
.0007
-.0005
.-.0005
-.0005
.0005
-.0003
.0007
-.0007
.0009
-.0004
.0004
-.0008
.0005
-.0007
-.0001
-..0008
.0004
-.0004
.0005
-.0008
.0007
-.0004 .
.0007
-.0008
.0005
-.0008
?
.0005
-.0009
.
.0004
-.0007
.0001
-.0009
.0003
-.0004
.0005
-.0005
.0003
-.0003
.0005
-.0007
.0007
--.0004
? .0004 .
'
-.0009
.0004
-.0004
.0000
-.0010
.0003
-.0003
.0004
-.0005
.0003
-.0003
? .0003
-.0008
.0003
-.0003
.0003
-.0004
.0003
-.0003
39
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
-
..!th
TABLE IV (cont'd.).
5?
66
Equal Energy Points
C LIGHT
LY
?Z
LY
?Z
-
.0007
-.0001
.0008
-.0001
.0008
-.0001
.0020
-.0001
.0007
-.0008
.0005
-.0007
.0007
-.0007
.0014
-.0005
.0008
-.0010
.0004
-.0011
.0008
-.0009
.0001
-.0008
.0007
-.0013
.0008
-.0007
.0008
-.0013
.0005
-.0013.
.0009
-.0011
.0003
-.0011
.0010
-.0009
.0000
-.0008
?
.0007
-.0007
.0001
-.0007
_
.0009
-.0007
.0007
-.0005
.0010
-.0005
.0004
-.0005
.0005
.0001
.0000
-.0003
.0008
.0000
-.0001
-.0001 -
.0000
-.0001
.0001
.0003
-.0001
.0003
40
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
Declassified in Part- Sanitized Copy Approved forRelease2014/05/29 : CIA-RDP67B00945R000200240001-2
TABLE IV (cont'd.)
5'
66
Equal Energy Points
?
D LIGHT
L'Y
tZ
LY
4-Z
.0010
-.0001
-.0005
-.0000
.0013
-.0000
.0004
-.0000
.0010
-.0003
-.0007
-.0001
.0011
-.0003
-.0003
-.0000
.0010
-.0005
-.0004
-.0005
.0013
-.0003
-.0009
-.0000
.0005
-.0005
-.0007
-.0000
.0008
-.0004
.0001
-.0004
_
.0010
-.0003
-.0003
-.0003
.
.0013
-.0001
-.0008
.0001
.0004
.0003
-.0010
.0004
.0009
.0003
-.0009
.0005
.0013
.0004
.0000
.0005
.0003
.0015
-.0007
.0008
? .0008
.0014
-.0010
..0010
-.0013
.0011
-.0003
.0018
-.0008
.0018
41
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2
4 .1
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29 : CIA-RDP67B00945R000200240001-2
? TABLE iv (coned.)
66 Equal Energy points
e Lifaft
.0001
-.0003
.0011
-.0001
-.0004
-.0003
.0023
-.0001
.0003
-.000S
.0009
-.0005
-.0001
-.0008
.0015
-.0004
.0004
,-.0011
.0007
-.0011
.
.0013
-.0011
:0005
-.0008
.0005
-.0015
.0009
-.0007
.0007
'
-.0014
.0007
-.0014
.0005
-.0013
.0004.
-.0011
?
,
.0004
-.0011
.0003
-.0008
.0005
?
-.0009
?
.0003
-.0005
.0007
?
-.0010
.0007
-.0003
.0005
-.0009
.0004
-.0008 ,
.0004
-.0000
?
.0001
-.0004
.0005
.
-.0001
.0000
-.0003
.0000
.0000
.0001
.0001
-.0001
.0004
,
42
Declassified in Part - Sanitized Copy Approved for Release 2014/05/29: CIA-RDP67B00945R000200240001-2