Table 1
Anastigmatic Lurie-Houghton Systems with Q2 = Q1
D
|
b
P
|
L
|
Q
|
---|
1.27509 | -0.32321 | 3.36006 | 1.00000 |
1.2 | -0.44444 | 4.80000 | 2.39306 |
1.1 | -0.66942 | 9.90000 | 12.49347 |
1.0 | -1.00000 | infinity | infinity |
0.9 | -1.49383 | -9.90000 | 18.66309 |
0.8 | -2.25000 | -4.80000 | 5.38439 |
0.7 | -3.44898 | -3.03333 | 2.66225 |
0.6 | -5.44444 | -2.10000 | 1.60317 |
0.48736 | -9.63305 | -1.43806 | 1.00000 |
Table 2
Anastigmatic Lurie-Houghton Systems with Q2 ≠ Q1 and L = 4
D
|
b
P
|
Q
2
|
Q
1
|
---|
1.2 | -0.44444 | 1.53852 | 1.78518 |
1.1 | -0.66942 | 1.59853 | 2.48055 |
1.0 | -1.00000 | 1.75277 | 3.23277 |
0.9 | -1.49383 | 2.00773 | 4.08571 |
0.8 | -2.25000 | 2.38250 | 5.09583 |
0.7 | -3.44898 | 2.91361 | 6.34526 |
0.6
| -5.44444
| 3.66695
| 7.96599
|
Table 3
Anastigmatic Lurie-Houghton Systems with Q2 = 1
D
|
b
P
| Positive Root
| Negative Root
|
---|
L
|
Q
1
|
L
|
Q
1
|
---|
1.2 | -0.44444 | 3.41757 | 1.42625 | -4.90186 | 3.99140 |
1.1 | -0.66942 | 3.41303 | 1.96977 | -3.99941 | 3.07789 |
1.0 | -1.00000 | 3.34190 | 2.48000 | -3.34190 | 2.48000 |
0.9 | -1.49383 | 3.22549 | 2.96219 | -2.83296 | 2.05649 |
0.8 | -2.25000 | 3.07835 | 3.42916 | -2.41867 | 1.73424 |
0.7 | -3.44898 | 2.90983 | 3.89974 | -2.06668 | 1.47164 |
0.6
| -5.44444
| 2.72549
| 4.40082
| -1.75616
| 1.24232
|
Table 4
Anastigmatic Lurie-Houghton Systems with Q1 = 1
D
|
b
P
| Positive Root
| Negative Root
|
---|
L
|
Q
2
|
L
|
Q
2
|
---|
1.2 | -0.44444 | 2.48972 | 0.28766 | -1.00543 | -0.79001 |
1.2 | -0.66942 | 1.75115 | -0.21821 | -1.16476 | -0.65413 |
1.0 | -1.00000 | 1.29183 | -0.48000 | -1.29183 | -0.48000 |
0.9 | -1.49383 | 0.98860 | -0.62779 | -1.38114 | -0.27353 |
0.8 | -2.25000 | 0.77530 | -0.71905 | -1.43499 | -0.03754 |
0.7 | -3.44898 | 0.61589 | -0.78050 | -1.45903 | 0.23188 |
0.6
| -5.44444
| 0.49007
| -0.82538
| -1.45940
| 0.54853
|
Table 5
Anastigmatic Houghton-Cassegrain Systems with Q2 = Q1 and bS = 0
D
|
b
P
|
L
|
Q
|
---|
1.2 | -0.36136 | 21.34242 | 41.42331 |
1.1 | -0.52336 | -29.66180 | 79.67463 |
1.0 | -0.75507 | -8.94149 | 8.63443 |
0.9 | -1.09356 | -5.11884 | 3.38832 |
0.8 | -1.60218 | -3.46014 | 1.86719 |
0.7 | -2.39572 | -2.50345 | 1.19212 |
0.6 | -3.69809 | -1.86169 | 0.81757 |
Table 6
Anastigmatic Houghton-Cassegrain Systems with Q2 = Q1 and bP = 0
D
|
b
S
|
L
|
Q
|
---|
1.2 | 1.75898 | 4.57698 | 1.26749 |
1.1 | 2.34737 | 5.82431 | 2.34001 |
1.0 | 3.08287 | 7.73374 | 4.68297 |
0.9 | 4.00308 | 11.11085 | 10.93563 |
0.8 | 5.15723 | 18.95981 | 35.94712 |
0.7 | 6.61065 | 60.08941 | 407.08579 |
0.6 | 8.45120 | -52.35586 | 348.29007 |
Table 7
Anastigmatic Houghton-Cassegrain Systems with Q2 = Q1 and L = 4
D
|
Q
|
b
S
|
b
P
|
---|
1.2 | 0.93386 | 2.00128 | 0.04978 |
1.1 | 1.01179 | 2.97226 | 0.13932 |
1.0 | 1.10117 | 4.06621 | 0.24084 |
0.9 | 1.20459 | 5.30983 | 0.35698 |
0.8 | 1.32548 | 6.73845 | 0.49123 |
0.7 | 1.46847 | 8.39954 | 0.64829 |
0.6 | 1.63995 | 10.35871 | 0.83469 |
Table 8
Anastigmatic Houghton-Cassegrain Systems with Q2 = Q1 = 1 and bS = 0
A
3′
|
b
P
|
D
|
L
|
---|
0.29605 | -0.14892 | -6.72620 | 4.42633 |
-2.45423
| -2.89896
| 1.02053
| -2.18713
|
Table 9
Anastigmatic Houghton-Cassegrain Systems with Q2 = Q1 = 1 and bP = 0
A
3″
|
b
S
|
D
|
L
|
---|
0.29605 | 2.48104 | 3.12975 | 4.42633 |
-2.45423
| 48.29589
| 1.07288
| -2.18713
|
Table 10
Anastigmatic Houghton-Cassegrain Systems with Q2 ≠ Q1, bS = 0, and L = 4
D
|
b
P
|
Q
2
|
Q
1
|
---|
1.2 | -0.36136 | 0.60320 | 1.82958 |
1.1 | -0.52336 | 0.60913 | 2.28871 |
1.0 | -0.75507 | 0.65692 | 2.79900 |
0.9 | -1.09356 | 0.75075 | 3.38726 |
0.8 | -1.60218 | 0.89986 | 4.09077 |
0.7 | -2.39572 | 1.12106 | 4.96579 |
0.6
| -3.69809
| 1.44429
| 6.10419
|
Table 11
Anastigmatic Houghton-Cassegrain Systems with Q2 ≠ Q1, bP = 0, and L = 4
D
|
b
S
|
Q
2
|
Q
1
|
---|
1.2 | 1.75898 | 0.87478 | 1.06135 |
1.1 | 2.34737 | 0.87191 | 1.33547 |
1.0 | 3.08287 | 0.89548 | 1.61000 |
0.9 | 4.00308 | 0.94373 | 1.89091 |
0.8 | 5.15723 | 1.01611 | 2.18386 |
0.7 | 6.61065 | 1.11315 | 2.49463 |
0.6
| 8.45120
| 1.23643
| 2.82950
|