1. cameragossip.github.io
  2. lensdesigns
In [1]:
%pylab inline
import warnings
import numpy as np
import matplotlib.pyplot as plt

import rayopt as ro

# ignore matplotlib and numpy warning each other
warnings.simplefilter("ignore", FutureWarning)
# ignore floating point exceptions
np.seterr(divide="ignore", invalid="ignore")
# by default only print 4 significant digits
np.set_printoptions(precision=4)

Populating the interactive namespace from numpy and matplotlib
In [2]:
description = "Nikkor-Z-58mmf0.95-WO2019229849A1"
columns = "type distance roc diameter material"

# Three different takes on dimensions

text1 = """
O 0         0        100.0    AIR
S 5.0      108.488     66.0    1.902650/35.77
S 7.65    -848.550     63.9    1.552981/55.07
S 2.8       50.252     56.9    AIR
S 18.12    -60.720     56.9    1.612660/44.46
S 2.8     2497.5       63.9    1.59319/67.9
S 9.15     -77.239     63.9    AIR       
S 0.40     113.763     69.4    1.8485/43.79
S 10.95   -178.06      69.4    AIR
S 0.4       70.659     63.2    1.59319/67.9
S 9.74   -1968.5       63.2    AIR         
S 0.2      289.687     59.7    1.59319/67.9
S 8.0      -97.087     57.6    1.738/32.33  
S 2.8       47.074     48.6    AIR
A 8.7        0         45.8    AIR
S 5.29     -95.230     47.2    1.612660/44.46
S 2.2       41.204     47.2    1.497820/82.57
S 11.55   -273.092     47.2    AIR         
S 0.2       76.173     50.0    1.883/40.69
S 9.5     -101.575     50.0    AIR          
S 0.20     176.128     45.8    1.953750/32.33
S 7.45     -67.221     44.4    1.738/32.33  
S 1.8       55.51      38.2    AIR
S 2.68      71.413     38.2    1.883/40.69
S 6.35    -115.025     38.2    1.69895/30.13
S 1.81      46.943     38.2    AIR
S 0.8       55.281     38.2    1.883/40.69
S 9.11    -144.041     38.2    1.765538/46.76
S 3.0       52.858     37.5    AIR   
S 14.5      0          43.4    1.5168/64.14
S 1.6       0          43.4    AIR
I 1.0       0          43.4    AIR
"""

text2 = """
O 0         0        100.0    AIR
S 5.0      108.488     65.6    1.902650/35.77
S 7.65    -848.550     64.6    1.552981/55.07
S 2.8       50.252     56.9    AIR
S 18.12    -60.720     57.6    1.612660/44.46
S 2.8     2497.5       64.2    1.59319/67.9
S 9.15     -77.239     64.2    AIR       
S 0.40     113.763     69.4    1.8485/43.79
S 10.95   -178.06      69.4    AIR
S 0.4       70.659     63.2    1.59319/67.9
S 9.74   -1968.5       63.2    AIR         
S 0.2      289.687     59.7    1.59319/67.9
S 8.0      -97.087     58.0    1.738/32.33  
S 2.8       47.074     49.0    AIR
A 8.7        0         46.5    AIR
S 5.29     -95.230     47.9    1.612660/44.46
S 2.2       41.204     48.6    1.497820/82.57
S 11.55   -273.092     48.6    AIR         
S 0.2       76.173     50.0    1.883/40.69
S 9.5     -101.575     50.0    AIR          
S 0.20     176.128     45.8    1.953750/32.33
S 7.45     -67.221     44.4    1.738/32.33  
S 1.8       55.51      38.5    AIR
S 2.68      71.413     38.5    1.883/40.69
S 6.35    -115.025     38.5    1.69895/30.13
S 1.81      46.943     38.5    AIR
S 0.8       55.281     38.2    1.883/40.69
S 9.11    -144.041     38.2    1.765538/46.76
S 3.0       52.858     37.5    AIR   
S 14.5      0          43.4    1.5168/64.14
S 1.6       0          43.4    AIR
I 1.0       0          43.4    AIR
"""

text3 = """
O 0         0        100.0    AIR
S 5.0      108.488     65.1    1.902650/35.77
S 7.65    -848.550     64.1    1.552981/55.07
S 2.8       50.252     56.5    AIR
S 18.12    -60.720     57.2    1.612660/44.46
S 2.8     2497.5       63.7    1.59319/67.9
S 9.15     -77.239     63.7    AIR       
S 0.40     113.763     68.9    1.8485/43.79
S 10.95   -178.06      68.9    AIR
S 0.4       70.659     62.7    1.59319/67.9
S 9.74   -1968.5       62.7    AIR         
S 0.2      289.687     59.2    1.59319/67.9
S 8.0      -97.087     57.5    1.738/32.33  
S 2.8       47.074     48.6    AIR
A 8.7        0         45.85    AIR
S 5.29     -95.230     47.5    1.612660/44.46
S 2.2       41.204     48.2    1.497820/82.57
S 11.55   -273.092     48.2    AIR         
S 0.2       76.173     49.6    1.883/40.69
S 9.5     -101.575     49.6    AIR          
S 0.20     176.128     45.5    1.953750/32.33
S 7.45     -67.221     44.1    1.738/32.33  
S 1.8       55.51      38.2    AIR
S 2.68      71.413     38.2    1.883/40.69
S 6.35    -115.025     38.2    1.69895/30.13
S 1.81      46.943     37.9    AIR
S 0.8       55.281     37.9    1.883/40.69
S 9.11    -144.041     37.9    1.765538/46.76
S 3.0       52.858     37.2    AIR   
S 14.5      0          43.1    1.5168/64.14
S 1.6       0          43.1    AIR
I 1.0       0          43.4    AIR
"""

text4 = """
O 0         0        100.0    AIR
S 5.0      108.488     66.5    1.902650/35.77
S 7.65    -848.550     65.3    1.552981/55.07
S 2.8       50.252     58.3    AIR
S 18.12    -60.720     58.5    1.612660/44.46
S 2.8     2497.5       65.3    1.59319/67.9
S 9.15     -77.239     65.3    AIR      
S 0.40     113.763     71.0    1.8485/43.79
S 10.95   -178.06      71.0    AIR
S 0.4       70.659     64.5    1.59319/67.9
S 9.74   -1968.5       64.5    AIR         
S 0.2      289.687     60.5    1.59319/67.9
S 8.0      -97.087     59.2    1.738/32.33  
S 2.8       47.074     49.8    AIR
A 8.7        0         47.7    AIR
S 5.29     -95.230     50.0    1.612660/44.46
S 2.2       41.204     50.0    1.497820/82.57
S 11.55   -273.092     48.1    AIR         
S 0.2       76.173     51.0    1.883/40.69
S 9.5     -101.575     49.4    AIR          
S 0.20     176.128     46.3    1.953750/32.33
S 7.45     -67.221     45.1    1.738/32.33  
S 1.8       55.51      39.1    AIR
S 2.68      71.413     39.1    1.883/40.69
S 6.35    -115.025     39.1    1.69895/30.13
S 1.81      46.943     39.1    AIR
S 0.8       55.281     38.5    1.883/40.69
S 9.11    -144.041     38.0    1.765538/46.76
S 3.0       52.858     38.0    AIR   
S 14.5      0          43.4    1.5168/64.14
S 1.6       0          43.4    AIR
I 1.0       0          43.4    AIR
"""

# A was 45.8 - changed to 44.6 to get F 0.9799
text5 = """
O 0         0        100.0    AIR
S 5.0      108.488     64.8    1.902650/35.77
S 7.65    -848.550     63.4    1.552981/55.07
S 2.8       50.252     56.0    AIR
S 18.12    -60.720     56.5    1.612660/44.46
S 2.8     2497.5       63.4    1.59319/67.9
S 9.15     -77.239     63.4    AIR       
S 0.40     113.763     68.3    1.8485/43.79
S 10.95   -178.06      68.3    AIR
S 0.4       70.659     62.5    1.59319/67.9
S 9.74   -1968.5       62.5    AIR         
S 0.2      289.687     58.7    1.59319/67.9
S 8.0      -97.087     57.2    1.738/32.33  
S 2.8       47.074     48.3    AIR
A 8.7        0         44.6    AIR
S 5.29     -95.230     48.1    1.612660/44.46
S 2.2       41.204     48.1    1.497820/82.57
S 11.55   -273.092     48.1    AIR         
S 0.2       76.173     49.4    1.883/40.69
S 9.5     -101.575     49.4    AIR          
S 0.20     176.128     45.3    1.953750/32.33
S 7.45     -67.221     44.1    1.738/32.33  
S 1.8       55.51      38.1    AIR
S 2.68      71.413     38.1    1.883/40.69
S 6.35    -115.025     38.1    1.69895/30.13
S 1.81      46.943     38.1    AIR
S 0.8       55.281     38.0    1.883/40.69
S 9.11    -144.041     37.6    1.765538/46.76
S 3.0       52.858     37.1    AIR   
S 14.5      0          42.9    1.5168/64.14
S 1.6       0          42.9    AIR
I 1.0       0          43.4    AIR
"""

# 2 has error
text=text5
In [3]:
# wavelengths=[588e-9],
s = ro.system_from_text(text, columns.split(),
    description=description)
s.object.angle = np.deg2rad(20.0)

## Aspheric data
s[1].conic      = 0.0
s[1].aspherics  = [0, -3.82177E-07, -6.06486E-11, -3.80172E-15, -1.32266E-18]
s[20].conic     = 0.0
s[20].aspherics = [0, -1.15028E-06, -4.51771E-10, 2.72670E-13, -7.66812E-17]
s[28].conic     = 0.0
s[28].aspherics = [0, 3.18645E-06, -1.14718E-08, 7.74567E-11, -2.24225E-13, 3.34790E-16, -1.70470E-19]

s.fields = 0, .7, 1.
In [4]:
s.update()
#s.paraxial.resize()
print(s)

System: Nikkor-Z-58mmf0.95-WO2019229849A1
Scale: 1.0 mm
Wavelengths: 588, 656, 486 nm
Fields: 0, 0.7, 1
Object:
 Semi-Angle: 20 deg
 Pupil:
   Pupil Distance: 74.2967
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 30.437
Image:
 Radius: 21.7
 Update Radius: True
 Pupil:
   Pupil Distance: -52.5815
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 26.8367
Stop: 14
Elements:
 # T   Distance   Rad Curv   Diameter          Material       n      nd      Vd
 0 S          0        inf        100         basic/air   1.000   1.000   89.30
 1 S          5      108.5       64.8                 -   1.903   1.903   35.77
 2 S       7.65     -848.5       63.4                 -   1.553   1.553   55.07
 3 S        2.8      50.25         56         basic/air   1.000   1.000   89.30
 4 S      18.12     -60.72       56.5                 -   1.613   1.613   44.46
 5 S        2.8       2498       63.4                 -   1.593   1.593   67.90
 6 S       9.15     -77.24       63.4         basic/air   1.000   1.000   89.30
 7 S        0.4      113.8       68.3                 -   1.849   1.849   43.79
 8 S      10.95     -178.1       68.3         basic/air   1.000   1.000   89.30
 9 S        0.4      70.66       62.5                 -   1.593   1.593   67.90
10 S       9.74      -1969       62.5         basic/air   1.000   1.000   89.30
11 S        0.2      289.7       58.7                 -   1.593   1.593   67.90
12 S          8     -97.09       57.2                 -   1.738   1.738   32.33
13 S        2.8      47.07       48.3         basic/air   1.000   1.000   89.30
14 S        8.7        inf       44.6         basic/air   1.000   1.000   89.30
15 S       5.29     -95.23       48.1                 -   1.613   1.613   44.46
16 S        2.2       41.2       48.1                 -   1.498   1.498   82.57
17 S      11.55     -273.1       48.1         basic/air   1.000   1.000   89.30
18 S        0.2      76.17       49.4                 -   1.883   1.883   40.69
19 S        9.5     -101.6       49.4         basic/air   1.000   1.000   89.30
20 S        0.2      176.1       45.3                 -   1.954   1.954   32.33
21 S       7.45     -67.22       44.1                 -   1.738   1.738   32.33
22 S        1.8      55.51       38.1         basic/air   1.000   1.000   89.30
23 S       2.68      71.41       38.1                 -   1.883   1.883   40.69
24 S       6.35       -115       38.1                 -   1.699   1.699   30.13
25 S       1.81      46.94       38.1         basic/air   1.000   1.000   89.30
26 S        0.8      55.28         38                 -   1.883   1.883   40.69
27 S       9.11       -144       37.6                 -   1.766   1.766   46.76
28 S          3      52.86       37.1         basic/air   1.000   1.000   89.30
29 S       14.5        inf       42.9                 -   1.517   1.517   64.14
30 S        1.6        inf       42.9         basic/air   1.000   1.000   89.30
31 S          1        inf       43.4         basic/air   1.000   1.000   89.30
In [5]:
ro.Analysis(s)

c:\software\python37\lib\site-packages\rayopt\analysis.py:316: UserWarning: No contour levels were found within the data range.
  axo.contour(x, y, o, v, cmap=plt.cm.RdBu_r)

System: Nikkor-Z-58mmf0.95-WO2019229849A1
Scale: 1.0 mm
Wavelengths: 588, 656, 486 nm
Fields: 0, 0.7, 1
Object:
 Semi-Angle: 20 deg
 Pupil:
   Pupil Distance: 74.2967
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 30.437
Image:
 Radius: 21.7
 Update Radius: True
 Pupil:
   Pupil Distance: -52.5815
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 26.8367
Stop: 14
Elements:
 # T   Distance   Rad Curv   Diameter          Material       n      nd      Vd
 0 S          0        inf        100         basic/air   1.000   1.000   89.30
 1 S          5      108.5       64.8                 -   1.903   1.903   35.77
 2 S       7.65     -848.5       63.4                 -   1.553   1.553   55.07
 3 S        2.8      50.25         56         basic/air   1.000   1.000   89.30
 4 S      18.12     -60.72       56.5                 -   1.613   1.613   44.46
 5 S        2.8       2498       63.4                 -   1.593   1.593   67.90
 6 S       9.15     -77.24       63.4         basic/air   1.000   1.000   89.30
 7 S        0.4      113.8       68.3                 -   1.849   1.849   43.79
 8 S      10.95     -178.1       68.3         basic/air   1.000   1.000   89.30
 9 S        0.4      70.66       62.5                 -   1.593   1.593   67.90
10 S       9.74      -1969       62.5         basic/air   1.000   1.000   89.30
11 S        0.2      289.7       58.7                 -   1.593   1.593   67.90
12 S          8     -97.09       57.2                 -   1.738   1.738   32.33
13 S        2.8      47.07       48.3         basic/air   1.000   1.000   89.30
14 S        8.7        inf       44.6         basic/air   1.000   1.000   89.30
15 S       5.29     -95.23       48.1                 -   1.613   1.613   44.46
16 S        2.2       41.2       48.1                 -   1.498   1.498   82.57
17 S      11.55     -273.1       48.1         basic/air   1.000   1.000   89.30
18 S        0.2      76.17       49.4                 -   1.883   1.883   40.69
19 S        9.5     -101.6       49.4         basic/air   1.000   1.000   89.30
20 S        0.2      176.1       45.3                 -   1.954   1.954   32.33
21 S       7.45     -67.22       44.1                 -   1.738   1.738   32.33
22 S        1.8      55.51       38.1         basic/air   1.000   1.000   89.30
23 S       2.68      71.41       38.1                 -   1.883   1.883   40.69
24 S       6.35       -115       38.1                 -   1.699   1.699   30.13
25 S       1.81      46.94       38.1         basic/air   1.000   1.000   89.30
26 S        0.8      55.28         38                 -   1.883   1.883   40.69
27 S       9.11       -144       37.6                 -   1.766   1.766   46.76
28 S          3      52.86       37.1         basic/air   1.000   1.000   89.30
29 S       14.5        inf       42.9                 -   1.517   1.517   64.14
30 S        1.6        inf       42.9         basic/air   1.000   1.000   89.30
31 S     1.0171        inf       43.4         basic/air   1.000   1.000   89.30

lagrange: -11.341
track length: 159.75
object, image height: [27.6753 22.2141]
front, back focal length (from PP): [-59.6528  59.6528]
entry, exit pupil height: [30.437  26.8367]
entry, exit pupil distance: [ 69.2967 -51.5815]
front, back focal distance: [1.6406 1.0149]
front, back principal distance: [ 61.2934 -58.6379]
front, back nodal distance: [ 61.2934 -58.6379]
front, back numerical aperture: [0.     0.4546]
front, back f number: [0.9799 1.1114]
front, back working f number: [   inf 1.1001]
front, back airy radius: [   inf 0.0008]
transverse, angular magnification: [-0.      1.1342]

 # T      path         n   axial y  axial nu   chief y  chief nu
 0 S         0         1     30.44         0    -27.68    0.3726
 1 S         5     1.903     30.44   -0.2532    -25.81    0.5873
 2 S     12.65     1.553     29.42   -0.2653    -23.45     0.597
 3 S     15.45         1     28.94   0.05302    -22.38    0.3509
 4 S     33.57     1.613      29.9    0.3546    -16.02    0.1893
 5 S     36.37     1.593     30.52    0.3548    -15.69    0.1892
 6 S     45.52         1     32.55    0.1049     -14.6    0.3013
 7 S     45.92     1.849      32.6   -0.1381    -14.48    0.4093
 8 S     56.87         1     31.78   -0.2895    -12.06    0.4667
 9 S     57.27     1.593     31.66   -0.5552    -11.87    0.5663
10 S     67.01         1     28.27   -0.5637     -8.41    0.5689
11 S     67.21     1.593     28.16   -0.6213    -8.296    0.5859
12 S     75.21     1.738     25.04    -0.584    -5.354    0.5779
13 S     78.01         1      24.1   -0.2064    -4.423    0.5086
14 S     86.71         1      22.3   -0.2064 1.404e-14    0.5086
15 S        92     1.613     21.21     -0.07      2.69    0.5259
16 S      94.2     1.498     21.11  -0.01116     3.407    0.5353
17 S     105.8         1     21.03  -0.04947     7.535    0.5216
18 S       106     1.883     21.02    -0.293     7.639    0.4331
19 S     115.5         1     19.54   -0.4628     9.824    0.3477
20 S     115.7     1.954     19.45   -0.5681     9.894    0.2942
21 S     123.1     1.738     17.28   -0.6236     11.02    0.2588
22 S     124.9         1     16.63   -0.4025     11.28    0.4088
23 S     127.6     1.883     15.56   -0.5948     12.38    0.2557
24 S     133.9     1.699     13.55   -0.6165     13.24    0.2346
25 S     135.7         1     12.89   -0.4246     13.49    0.4354
26 S     136.5     1.883     12.55    -0.625     13.84    0.2144
27 S     145.7     1.766      9.53   -0.6328     14.88    0.2022
28 S     148.7         1     8.455   -0.5104     15.22    0.4226
29 S     163.2     1.517     1.056   -0.5104     21.35    0.4226
30 S     164.8         1     0.518   -0.5104     21.79    0.4226
31 S     165.8         1  0.007733   -0.5104     22.21    0.4226

 # T       SA3      CMA3      AST3      PTZ3      DIS3     TACHC      TCHC
 0 S         0         0         0         0         0         0         0
 1 S     2.155    -2.045      1.63   -0.5505    -1.697   -0.2219   -0.1064
 2 S   -0.1176    0.2357   -0.4727  -0.01757     0.983    -0.125    0.2506
 3 S     1.828   -0.2747   0.04126    0.8919   -0.1402    0.2305  -0.03462
 4 S    0.4716   -0.6596    0.9225    0.7875    -2.392    0.2199   -0.3076
 5 S   0.01443  0.006908  0.003307 0.0003822  0.001766   0.06849   0.03279
 6 S   -0.1117    0.1729   -0.2678   -0.6067     1.354   -0.1107    0.1714
 7 S    -0.711   -0.3159   -0.1403   -0.5079    -0.288    -0.262   -0.1164
 8 S    -1.697     1.938    -2.213   -0.3245     2.898   -0.3053    0.3486
 9 S   0.05517    0.1038    0.1953   -0.6633   -0.8805  -0.05395   -0.1015
10 S    -3.189     3.162    -3.135  -0.02381     3.132   -0.1754    0.1739
11 S     1.912    -2.214     2.564   -0.1618    -2.782     0.141   -0.1633
12 S     1.344   -0.8773    0.5727   0.06785   -0.4181    0.3873   -0.2528
13 S  -0.02851  -0.03868  -0.05247     1.135     1.469    0.1894    0.2569
14 S         0        -0         0         0         0        -0         0
15 S    0.6861   -0.7679    0.8594    0.5021    -1.524    0.1523   -0.1704
16 S    0.2596    0.2262    0.1972    0.1453    0.2985    0.1414    0.1232
17 S  -0.01465   0.05722   -0.2235   -0.1532     1.471  -0.02095   0.08184
18 S  -0.03507  -0.09628   -0.2644    -0.775    -2.854   -0.1074    -0.295
19 S    -3.121     1.196   -0.4579   -0.5812     0.398   -0.2889    0.1107
20 S     1.971   -0.2252     1.293   -0.3489   -0.5555    0.2026   -0.2323
21 S    -1.117  -0.02714-0.0006595   -0.1191 -0.002909   -0.0712  -0.00173
22 S  -0.03368    0.2006    -1.195    0.9629     1.384  -0.04396    0.2619
23 S    0.1218    -0.384     1.211   -0.8266    -1.212    0.0648   -0.2044
24 S   -0.4055   0.01936-0.0009241    -0.063  0.003052   0.04616 -0.002203
25 S  -0.05973    0.2882     -1.39     1.103     1.386  -0.05165    0.2492
26 S    0.1188   -0.4128     1.434    -1.068    -1.273   0.05593   -0.1943
27 S   -0.1402   0.00372-9.872e-05   -0.0309 0.0008226  -0.03151 0.0008361
28 S   -0.2146    0.8089   -0.9677     1.033     1.079  -0.05379    0.1091
29 S   0.07768  -0.06432   0.05326        -0   -0.0441  0.005606 -0.004642
30 S  -0.03809   0.03154  -0.02611         0   0.02162 -0.002749  0.002276
31 S         0        -0         0         0         0        -0         0
      -0.01896   0.04679    0.1691   -0.1925    -0.181  -0.02107   -0.0142
Out[5]:
<rayopt.analysis.Analysis at 0x28c15ddd0b8>
In [6]:
# From Bill Claff's data
description = "WO2019-229849 Example 1 (Nikkor Z 58mm f/0.95 S)"
columns = "type distance roc diameter material"
# number of surfaces = 30
lensdata = """
O 0.0 0.0 86.84 AIR
S 20 108.488 66.8 1.90265/35.77
S 7.65 -848.55 65.82 1.552981/55.07
S 2.8 50.252 57.94 AIR
S 18.12 -60.72 58.28 1.61266/44.46
S 2.8 2497.5 65.32 1.59319/67.9
S 9.15 -77.239 65.32 AIR
S 0.4 113.763 70.9 1.8485/43.79
S 10.95 -178.06 70.9 AIR
S 0.4 70.659 65 1.59319/67.9
S 9.74 -1968.5 65 AIR
S 0.2 289.687 61.06 1.59319/67.9
S 8 -97.087 59.42 1.738/32.33
S 2.8 47.074 50.24 AIR
A 8.7 0 47.918 AIR
S 5.29 -95.23 49.92 1.61266/44.46
S 2.2 41.204 49.92 1.49782/82.57
S 11.55 -273.092 49.92 AIR
S 0.2 76.173 51.12 1.883/40.69
S 9.5 -101.575 51.12 AIR
S 0.2 176.128 46.8 1.95375/32.33
S 7.45 -67.221 45.36 1.738/32.33
S 1.8 55.51 39.84 AIR
S 2.68 71.413 39.46 1.883/40.69
S 6.35 -115.025 39.46 1.69895/30.13
S 1.81 46.943 39.46 AIR
S 0.8 55.281 38.94 1.883/40.69
S 9.11 -144.041 38.28 1.765538/46.76
S 3 52.858 38.28 AIR
S 14.5 0 44.3 1.5168/64.14
S 1.6 0 44.3 AIR
I 1 0 43.4 AIR
"""
s = ro.system_from_text(lensdata, columns.split(),
    description=description)
s.fields = 0, .7, 1.
s.object.angle = np.deg2rad(19.980000)
s[1].conic = 0
s[1].aspherics = [0, -3.82177e-07, -6.06486e-11, -3.80172e-15, -1.32266e-18, 0, 0]
s[20].conic = 0
s[20].aspherics = [0, -1.15028e-06, -4.51771e-10, 2.7267e-13, -7.66812e-17, 0, 0]
s[28].conic = 0
s[28].aspherics = [0, 3.18645e-06, -1.14718e-08, 7.74567e-11, -2.24225e-13, 3.3479e-16, -1.7047e-19]
s.update()
print(s)
ro.Analysis(s)

System: WO2019-229849 Example 1 (Nikkor Z 58mm f/0.95 S)
Scale: 1.0 mm
Wavelengths: 588, 656, 486 nm
Fields: 0, 0.7, 1
Object:
 Semi-Angle: 20 deg
 Pupil:
   Pupil Distance: 89.2967
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 32.7014
Image:
 Radius: 21.7
 Update Radius: True
 Pupil:
   Pupil Distance: -52.5815
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 28.8332
Stop: 14
Elements:
 # T   Distance   Rad Curv   Diameter          Material       n      nd      Vd
 0 S          0        inf      86.84         basic/air   1.000   1.000   89.30
 1 S         20      108.5       66.8                 -   1.903   1.903   35.77
 2 S       7.65     -848.5      65.82                 -   1.553   1.553   55.07
 3 S        2.8      50.25      57.94         basic/air   1.000   1.000   89.30
 4 S      18.12     -60.72      58.28                 -   1.613   1.613   44.46
 5 S        2.8       2498      65.32                 -   1.593   1.593   67.90
 6 S       9.15     -77.24      65.32         basic/air   1.000   1.000   89.30
 7 S        0.4      113.8       70.9                 -   1.849   1.849   43.79
 8 S      10.95     -178.1       70.9         basic/air   1.000   1.000   89.30
 9 S        0.4      70.66         65                 -   1.593   1.593   67.90
10 S       9.74      -1969         65         basic/air   1.000   1.000   89.30
11 S        0.2      289.7      61.06                 -   1.593   1.593   67.90
12 S          8     -97.09      59.42                 -   1.738   1.738   32.33
13 S        2.8      47.07      50.24         basic/air   1.000   1.000   89.30
14 S        8.7        inf     47.918         basic/air   1.000   1.000   89.30
15 S       5.29     -95.23      49.92                 -   1.613   1.613   44.46
16 S        2.2       41.2      49.92                 -   1.498   1.498   82.57
17 S      11.55     -273.1      49.92         basic/air   1.000   1.000   89.30
18 S        0.2      76.17      51.12                 -   1.883   1.883   40.69
19 S        9.5     -101.6      51.12         basic/air   1.000   1.000   89.30
20 S        0.2      176.1       46.8                 -   1.954   1.954   32.33
21 S       7.45     -67.22      45.36                 -   1.738   1.738   32.33
22 S        1.8      55.51      39.84         basic/air   1.000   1.000   89.30
23 S       2.68      71.41      39.46                 -   1.883   1.883   40.69
24 S       6.35       -115      39.46                 -   1.699   1.699   30.13
25 S       1.81      46.94      39.46         basic/air   1.000   1.000   89.30
26 S        0.8      55.28      38.94                 -   1.883   1.883   40.69
27 S       9.11       -144      38.28                 -   1.766   1.766   46.76
28 S          3      52.86      38.28         basic/air   1.000   1.000   89.30
29 S       14.5        inf       44.3                 -   1.517   1.517   64.14
30 S        1.6        inf       44.3         basic/air   1.000   1.000   89.30
31 S          1        inf       43.4         basic/air   1.000   1.000   89.30

System: WO2019-229849 Example 1 (Nikkor Z 58mm f/0.95 S)
Scale: 1.0 mm
Wavelengths: 588, 656, 486 nm
Fields: 0, 0.7, 1
Object:
 Semi-Angle: 20 deg
 Pupil:
   Pupil Distance: 89.2967
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 32.7014
Image:
 Radius: 21.7
 Update Radius: True
 Pupil:
   Pupil Distance: -52.5815
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 28.8332
Stop: 14
Elements:
 # T   Distance   Rad Curv   Diameter          Material       n      nd      Vd
 0 S          0        inf      86.84         basic/air   1.000   1.000   89.30
 1 S         20      108.5       66.8                 -   1.903   1.903   35.77
 2 S       7.65     -848.5      65.82                 -   1.553   1.553   55.07
 3 S        2.8      50.25      57.94         basic/air   1.000   1.000   89.30
 4 S      18.12     -60.72      58.28                 -   1.613   1.613   44.46
 5 S        2.8       2498      65.32                 -   1.593   1.593   67.90
 6 S       9.15     -77.24      65.32         basic/air   1.000   1.000   89.30
 7 S        0.4      113.8       70.9                 -   1.849   1.849   43.79
 8 S      10.95     -178.1       70.9         basic/air   1.000   1.000   89.30
 9 S        0.4      70.66         65                 -   1.593   1.593   67.90
10 S       9.74      -1969         65         basic/air   1.000   1.000   89.30
11 S        0.2      289.7      61.06                 -   1.593   1.593   67.90
12 S          8     -97.09      59.42                 -   1.738   1.738   32.33
13 S        2.8      47.07      50.24         basic/air   1.000   1.000   89.30
14 S        8.7        inf     47.918         basic/air   1.000   1.000   89.30
15 S       5.29     -95.23      49.92                 -   1.613   1.613   44.46
16 S        2.2       41.2      49.92                 -   1.498   1.498   82.57
17 S      11.55     -273.1      49.92         basic/air   1.000   1.000   89.30
18 S        0.2      76.17      51.12                 -   1.883   1.883   40.69
19 S        9.5     -101.6      51.12         basic/air   1.000   1.000   89.30
20 S        0.2      176.1       46.8                 -   1.954   1.954   32.33
21 S       7.45     -67.22      45.36                 -   1.738   1.738   32.33
22 S        1.8      55.51      39.84         basic/air   1.000   1.000   89.30
23 S       2.68      71.41      39.46                 -   1.883   1.883   40.69
24 S       6.35       -115      39.46                 -   1.699   1.699   30.13
25 S       1.81      46.94      39.46         basic/air   1.000   1.000   89.30
26 S        0.8      55.28      38.94                 -   1.883   1.883   40.69
27 S       9.11       -144      38.28                 -   1.766   1.766   46.76
28 S          3      52.86      38.28         basic/air   1.000   1.000   89.30
29 S       14.5        inf       44.3                 -   1.517   1.517   64.14
30 S        1.6        inf       44.3         basic/air   1.000   1.000   89.30
31 S     1.0205        inf       43.4         basic/air   1.000   1.000   89.30

lagrange: -12.171
track length: 159.75
object, image height: [33.2248 22.1888]
front, back focal length (from PP): [-59.6528  59.6528]
entry, exit pupil height: [32.7014 28.8332]
entry, exit pupil distance: [ 69.2967 -51.5815]
front, back focal distance: [1.6406 1.0149]
front, back principal distance: [ 61.2934 -58.6379]
front, back nodal distance: [ 61.2934 -58.6379]
front, back numerical aperture: [0.     0.4808]
front, back f number: [0.9121 1.0344]
front, back working f number: [   inf 1.0401]
front, back airy radius: [   inf 0.0007]
transverse, angular magnification: [-0.      1.1342]

 # T      path         n   axial y  axial nu   chief y  chief nu
 0 S         0         1      32.7         0    -33.22    0.3722
 1 S        20     1.903      32.7    -0.272    -25.78    0.5866
 2 S     27.65     1.553     31.61    -0.285    -23.42    0.5963
 3 S     30.45         1     31.09   0.05696    -22.35    0.3505
 4 S     48.57     1.613     32.13     0.381       -16    0.1891
 5 S     51.37     1.593     32.79    0.3812    -15.67     0.189
 6 S     60.52         1     34.98    0.1127    -14.59     0.301
 7 S     60.92     1.849     35.02   -0.1484    -14.47    0.4088
 8 S     71.87         1     34.14    -0.311    -12.05    0.4662
 9 S     72.27     1.593     34.02   -0.5965    -11.86    0.5657
10 S     82.01         1     30.37   -0.6056      -8.4    0.5682
11 S     82.21     1.593     30.25   -0.6676    -8.287    0.5852
12 S     90.21     1.738      26.9   -0.6274    -5.348    0.5772
13 S     93.01         1     25.89   -0.2217    -4.418     0.508
14 S     101.7         1     23.96   -0.2217  9.23e-15     0.508
15 S       107     1.613     22.79  -0.07521     2.686    0.5253
16 S     109.2     1.498     22.68  -0.01199     3.403    0.5347
17 S     120.8         1     22.59  -0.05315     7.526     0.521
18 S       121     1.883     22.58   -0.3148     7.631    0.4326
19 S     130.4         1     20.99   -0.4973     9.813    0.3473
20 S     130.6     1.954     20.89   -0.6104     9.883    0.2938
21 S     138.1     1.738     18.57   -0.6699        11    0.2585
22 S     139.9         1     17.87   -0.4324     11.27    0.4083
23 S     142.6     1.883     16.71    -0.639     12.36    0.2555
24 S     148.9     1.699     14.56   -0.6623     13.23    0.2343
25 S     150.7         1     13.85   -0.4561     13.48    0.4349
26 S     151.5     1.883     13.49   -0.6715     13.82    0.2141
27 S     160.6     1.766     10.24   -0.6799     14.86     0.202
28 S     163.6         1     9.084   -0.5483      15.2    0.4221
29 S     178.1     1.517     1.135   -0.5483     21.32    0.4221
30 S     179.7         1    0.5565   -0.5483     21.77    0.4221
31 S     180.7         1  0.008309   -0.5483     22.19    0.4221

 # T       SA3      CMA3      AST3      PTZ3      DIS3     TACHC      TCHC
 0 S         0         0         0         0         0         0         0
 1 S     2.672    -2.358     1.747   -0.5901    -1.691   -0.2384   -0.1063
 2 S   -0.1458    0.2718   -0.5067  -0.01883    0.9796   -0.1343    0.2503
 3 S     2.267   -0.3167   0.04423     0.956   -0.1397    0.2476  -0.03459
 4 S    0.5849   -0.7605    0.9889    0.8442    -2.384    0.2363   -0.3072
 5 S    0.0179  0.007965  0.003545 0.0004097   0.00176   0.07359   0.03275
 6 S   -0.1385    0.1994   -0.2871   -0.6504      1.35   -0.1189    0.1712
 7 S   -0.8818   -0.3642   -0.1504   -0.5445    -0.287   -0.2815   -0.1163
 8 S    -2.105     2.234    -2.372   -0.3479     2.888    -0.328    0.3482
 9 S   0.06842    0.1197    0.2094    -0.711   -0.8775  -0.05796   -0.1014
10 S    -3.955     3.645     -3.36  -0.02552     3.121   -0.1885    0.1737
11 S     2.371    -2.553     2.749   -0.1734    -2.773    0.1515   -0.1631
12 S     1.667    -1.012    0.6139   0.07273   -0.4167    0.4161   -0.2525
13 S  -0.03536   -0.0446  -0.05624     1.217     1.464    0.2035    0.2566
14 S         0        -0         0         0         0        -0         0
15 S    0.8509   -0.8854    0.9213    0.5383    -1.519    0.1636   -0.1702
16 S    0.3219    0.2608    0.2114    0.1558    0.2975    0.1519    0.1231
17 S  -0.01817   0.06597   -0.2396   -0.1642     1.466  -0.02251   0.08175
18 S  -0.04349    -0.111   -0.2834   -0.8307    -2.844   -0.1154   -0.2947
19 S    -3.871     1.378   -0.4909    -0.623    0.3966   -0.3104    0.1105
20 S     2.444   -0.2597     1.386    -0.374   -0.5536    0.2177    -0.232
21 S    -1.385  -0.03129-0.0007069   -0.1276 -0.002899   -0.0765 -0.001728
22 S  -0.04177    0.2313    -1.281     1.032     1.379  -0.04723    0.2616
23 S     0.151   -0.4427     1.298   -0.8861    -1.207   0.06963   -0.2041
24 S   -0.5029   0.02232-0.0009906  -0.06754  0.003041   0.04959 -0.002201
25 S  -0.07408    0.3323     -1.49     1.183     1.381  -0.05549    0.2489
26 S    0.1474    -0.476     1.537    -1.145    -1.268   0.06009   -0.1941
27 S   -0.1738  0.004289-0.0001058  -0.03312 0.0008198  -0.03385 0.0008352
28 S   -0.2661    0.9326    -1.037     1.107     1.076  -0.05779     0.109
29 S   0.09634  -0.07416   0.05709        -0  -0.04394  0.006024 -0.004637
30 S  -0.04724   0.03636  -0.02799         0   0.02155 -0.002954  0.002274
31 S         0        -0         0         0         0        -0         0
      -0.02352   0.05395    0.1813   -0.2064   -0.1804  -0.02264  -0.01418
Out[6]:
<rayopt.analysis.Analysis at 0x28c2ac474a8>
In [ ]: