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 [50]:
description = "Nikkor-Z-58mmf0.95-WO2019229849A1"
columns = "type distance roc diameter material"

# A was 45.8 - changed to 44.6 to get F 0.9799
text = """
O 0         0        100.0    AIR
S 30.0      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 21.29     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
"""
In [38]:
# This is broken as we need to specify a FiniteConjugate as the object
# wavelengths=[588e-9],
s = ro.system_from_text(text, columns.split(),
    description=description)
# s.object.angle = np.deg2rad(20.0)
s.object.angle = np.deg2rad(16.01)


## 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 [39]:
s.update()
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: 16 deg
 Pupil:
   Pupil Distance: 99.2967
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 30.437
Image:
 Radius: 21.7
 Update Radius: True
 Pupil:
   Pupil Distance: -71.1274
   Refractive Index: 1.00028
   Update Radius: True
   Radius: 28.5846
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         30      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      21.29      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         45                 -   1.517   1.517   64.14
30 S        1.6        inf         45         basic/air   1.000   1.000   89.30
31 S          1        inf       43.4         basic/air   1.000   1.000   89.30
In [33]:
ro.Analysis(s)

---------------------------------------------------------------------------
AssertionError                            Traceback (most recent call last)
<ipython-input-33-00344cd64651> in <module>
----> 1 ro.Analysis(s)

c:\software\python37\lib\site-packages\rayopt\analysis.py in __init__(self, system, **kwargs)
     72             setattr(self, k, v)
     73         if self.run:
---> 74             self.run()
     75         if self.print:
     76             for t in self.text:

c:\software\python37\lib\site-packages\rayopt\analysis.py in run(self)
    112         for h in min(self.system.fields), max(self.system.fields):
    113             t = GeometricTrace(self.system)
--> 114             t.rays_clipping((0, h))
    115             t.plot(ax)
    116 

c:\software\python37\lib\site-packages\rayopt\geometric_trace.py in rays_clipping(self, yo, wavelength, axis)
    213 
    214     def rays_clipping(self, yo, wavelength=None, axis=1):
--> 215         z, p = self.system.pupil(yo, l=wavelength, stop=-1)
    216         yp = np.zeros((3, 2))
    217         yp[1:, axis] = p[:, axis]/np.fabs(p).max()

c:\software\python37\lib\site-packages\rayopt\system.py in pupil(self, yo, l, stop, **kwargs)
    593             c = self._pupil_cache[k] = PolarCacheND(self._aim_pupil,
    594                                                     l=l, stop=stop, **kwargs)
--> 595         q = c(*yo)
    596         return q[0], q[1:].reshape(2, 2)

c:\software\python37\lib\site-packages\rayopt\cachend.py in __call__(self, *args)
     50             if np.any(np.isnan(guess)):
     51                 guess = self.guess
---> 52         value = self.solver(*args, guess=guess, **self.kwargs)
     53         self.cache[args] = value
     54         self._update()

c:\software\python37\lib\site-packages\rayopt\system.py in _aim_pupil(self, xo, yo, guess, **kwargs)
    578             yp = [0, 0]
    579             yp[ax] = 2*sig - 1.
--> 580             a1 = self.aim_marginal(y, yp, z, a[sig, ax], **kwargs)
    581             a[sig, ax] = a1
    582             if sig == 1:  # and guess is None

c:\software\python37\lib\site-packages\rayopt\system.py in aim_marginal(self, yo, yp, z, p, l, stop, **kwargs)
    554             else:
    555                 return d[-1]
--> 556         a = self.solve_brentq(dist, **kwargs)
    557         assert a
    558         return a*p

c:\software\python37\lib\site-packages\rayopt\system.py in solve_brentq(self, merit, a, b, tol, maxiter)
    501         if abs(fa) <= tol:
    502             return a
--> 503         assert fa < 0
    504         a = brentq(merit, a, b, rtol=tol, xtol=tol, maxiter=maxiter)
    505         return a

AssertionError:
In [ ]: