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Дата изменения: Tue May 19 05:14:17 1998
Дата индексирования: Sun Apr 10 08:46:06 2016
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Поисковые слова: aircraft
photometric optical design

2.5-m telescope imaging optical design

Sloan Digital Sky Survey Telescope Technical Note 19960410
Jim Gunn


Contents


Introduction

 DSS focal plane analysis, file kent003.dat  Wed Apr 10 09:22:27 1996 
Changed nominal astrometric filter thickness from 6.0 to 5.7 mm, in 
accordance with as-manufactured parts

Optical design

kent003.dat: 2.25/5 rc, 50mm total corr+f, 8mm bf, zero distor
Indices for lambda=4760 Angstroms
Pupil Radius=1250.000  Central Obsc. Radius=625.000  Source at infinity
 s          c        s        n          a2          a4         a6           k
 1 -8.889e-005     0.00 -1.00028  0.000e+000  0.000e+000  3.81e-022 -1.285e+000
 2 -1.390e-004 -3646.14  1.00028  0.000e+000  0.000e+000  1.79e-019 -1.197e+001
 3  0.000e+000  3621.59  1.46376  2.321e-005 -1.173e-010 -7.87e-017  0.000e+000
 4  0.000e+000    12.00  1.00028  0.000e+000  0.000e+000  0.00e+000  0.000e+000
 5  0.000e+000   714.00  1.46376 -2.732e-004  2.056e-009 -5.81e-015  0.000e+000
 6  0.000e+000    45.00  1.52266  0.000e+000  0.000e+000  0.00e+000  0.000e+000
 7  0.000e+000     2.00  1.46376  0.000e+000  0.000e+000  0.00e+000  0.000e+000
 8  0.000e+000     3.00  1.00028  0.000e+000  0.000e+000  0.00e+000  0.000e+000
 9  0.000e+000     8.00  1.00028  0.000e+000  0.000e+000  0.00e+000  0.000e+000
Surface 1 has 8th order asphere, a8= -1.518e-029
Surface 3 has 8th order asphere, a8=  1.592e-022
Surface 5 has 8th order asphere, a8=  1.746e-020
Surface 9 is the nominal focal surface; the filter has been split into two
parts, 2mm and 3mm, to accomodate the new u' filters which are 2mm of glass
and 3mm of quartz. Mechanical summaries are at the end, with best fit foci
and tilts.

Tr:  0.00'    4760A  fb=-0.361 h=   -0.000 eps,z=0.018 0.018
Tr: 30.00'    4760A  fb=-0.088 h= -108.452 eps,z=0.015 0.015
Tr: 45.00'    4760A  fb= 0.052 h= -162.685 eps,z=0.013 0.013
Tr: 60.00'    4760A  fb=-0.084 h= -216.913 eps,z=0.010 0.010
Tr: 70.00'    4760A  fb=-0.458 h= -253.069 eps,z=0.011 0.011
Tr: 73.00'    4760A  fb=-0.632 h= -263.918 eps,z=0.011 0.011
Tr: 82.00'    4760A  fb=-1.380 h= -296.474 eps,z=0.015 0.015
Tr: 90.00'    4760A  fb=-2.399 h= -325.431 eps,z=0.021 0.021
Tr:  0.00'    3540A  fb=-0.322 h=   -0.000 eps,z=0.017 0.017
Tr: 30.00'    3540A  fb= 0.031 h= -108.435 eps,z=0.014 0.014
Tr: 45.00'    3540A  fb= 0.267 h= -162.666 eps,z=0.013 0.013
Tr: 60.00'    3540A  fb= 0.260 h= -216.895 eps,z=0.019 0.019
Tr: 70.00'    3540A  fb=-0.014 h= -253.053 eps,z=0.027 0.027
Tr: 73.00'    3540A  fb=-0.156 h= -263.902 eps,z=0.030 0.030
Tr: 82.00'    3540A  fb=-0.803 h= -296.461 eps,z=0.037 0.037
Tr: 90.00'    3540A  fb=-1.731 h= -325.417 eps,z=0.043 0.043
Tr:  0.00'    6280A  fb=-0.384 h=   -0.000 eps,z=0.018 0.018
Tr: 30.00'    6280A  fb=-0.154 h= -108.461 eps,z=0.017 0.017
Tr: 45.00'    6280A  fb=-0.065 h= -162.695 eps,z=0.017 0.017
Tr: 60.00'    6280A  fb=-0.268 h= -216.922 eps,z=0.019 0.019
Tr: 70.00'    6280A  fb=-0.696 h= -253.077 eps,z=0.022 0.022
Tr: 73.00'    6280A  fb=-0.887 h= -263.925 eps,z=0.023 0.023
Tr: 82.00'    6280A  fb=-1.687 h= -296.481 eps,z=0.029 0.029
Tr: 90.00'    6280A  fb=-2.756 h= -325.438 eps,z=0.037 0.037
Tr:  0.00'    7690A  fb=-0.396 h=   -0.000 eps,z=0.018 0.018
Tr: 30.00'    7690A  fb=-0.187 h= -108.465 eps,z=0.018 0.018
Tr: 45.00'    7690A  fb=-0.124 h= -162.700 eps,z=0.020 0.020
Tr: 60.00'    7690A  fb=-0.361 h= -216.927 eps,z=0.024 0.024
Tr: 70.00'    7690A  fb=-0.815 h= -253.081 eps,z=0.029 0.029
Tr: 73.00'    7690A  fb=-1.015 h= -263.929 eps,z=0.031 0.031
Tr: 82.00'    7690A  fb=-1.841 h= -296.485 eps,z=0.038 0.038
Tr: 90.00'    7690A  fb=-2.934 h= -325.442 eps,z=0.048 0.048
Tr:  0.00'    9250A  fb=-0.405 h=   -0.000 eps,z=0.018 0.018
Tr: 30.00'    9250A  fb=-0.212 h= -108.468 eps,z=0.019 0.019
Tr: 45.00'    9250A  fb=-0.168 h= -162.704 eps,z=0.022 0.022
Tr: 60.00'    9250A  fb=-0.431 h= -216.931 eps,z=0.028 0.028
Tr: 70.00'    9250A  fb=-0.905 h= -253.084 eps,z=0.034 0.034
Tr: 73.00'    9250A  fb=-1.111 h= -263.932 eps,z=0.036 0.036
Tr: 82.00'    9250A  fb=-1.957 h= -296.488 eps,z=0.045 0.045
Tr: 90.00'    9250A  fb=-3.069 h= -325.444 eps,z=0.057 0.057

Average focus for all colors at each radius

  0.00'  4760A f= -0.374  h=   -0.000 s= 0.000 D= 0.013 e=0.018
 30.00'  4760A f= -0.122  h= -108.451 s= 0.252 D= 0.034 e=0.016
 45.00'  4760A f= -0.008  h= -162.682 s= 0.366 D= 0.059 e=0.016
 60.00'  4760A f= -0.177  h= -216.908 s= 0.197 D= 0.093 e=0.018
 70.00'  4760A f= -0.577  h= -253.062 s=-0.204 D= 0.119 e=0.022
 73.00'  4760A f= -0.760  h= -263.911 s=-0.386 D= 0.128 e=0.023
 82.00'  4760A f= -1.534  h= -296.467 s=-1.160 D= 0.154 e=0.029
 90.00'  4760A f= -2.578  h= -325.424 s=-2.204 D= 0.178 e=0.035
  0.00'  3540A f= -0.374 dh=    0.000 s= 0.000 D= 0.052 e=0.019
 30.00'  3540A f= -0.122 dh=    0.022 s= 0.252 D= 0.153 e=0.028
 45.00'  3540A f= -0.008 dh=    0.030 s= 0.366 D= 0.275 e=0.046
 60.00'  3540A f= -0.177 dh=    0.037 s= 0.197 D= 0.437 e=0.072
 70.00'  3540A f= -0.577 dh=    0.040 s=-0.204 D= 0.564 e=0.094
 73.00'  3540A f= -0.760 dh=    0.041 s=-0.386 D= 0.604 e=0.101
 82.00'  3540A f= -1.534 dh=    0.041 s=-1.160 D= 0.731 e=0.123
 90.00'  3540A f= -2.578 dh=    0.039 s=-2.204 D= 0.847 e=0.142
  0.00'  6280A f= -0.374 dh=   -0.000 s= 0.000 D=-0.010 e=0.018
 30.00'  6280A f= -0.122 dh=   -0.011 s= 0.252 D=-0.032 e=0.018
 45.00'  6280A f= -0.008 dh=   -0.016 s= 0.366 D=-0.057 e=0.019
 60.00'  6280A f= -0.177 dh=   -0.020 s= 0.197 D=-0.092 e=0.024
 70.00'  6280A f= -0.577 dh=   -0.021 s=-0.204 D=-0.118 e=0.029
 73.00'  6280A f= -0.760 dh=   -0.021 s=-0.386 D=-0.127 e=0.031
 82.00'  6280A f= -1.534 dh=   -0.022 s=-1.160 D=-0.154 e=0.038
 90.00'  6280A f= -2.578 dh=   -0.021 s=-2.204 D=-0.178 e=0.047
  0.00'  7690A f= -0.374 dh=    0.000 s= 0.000 D=-0.022 e=0.018
 30.00'  7690A f= -0.122 dh=   -0.017 s= 0.252 D=-0.065 e=0.021
 45.00'  7690A f= -0.008 dh=   -0.024 s= 0.366 D=-0.116 e=0.027
 60.00'  7690A f= -0.177 dh=   -0.030 s= 0.197 D=-0.184 e=0.038
 70.00'  7690A f= -0.577 dh=   -0.032 s=-0.204 D=-0.238 e=0.048
 73.00'  7690A f= -0.760 dh=   -0.032 s=-0.386 D=-0.254 e=0.051
 82.00'  7690A f= -1.534 dh=   -0.033 s=-1.160 D=-0.308 e=0.062
 90.00'  7690A f= -2.578 dh=   -0.031 s=-2.204 D=-0.356 e=0.075
  0.00'  9250A f= -0.374 dh=   -0.000 s= 0.000 D=-0.032 e=0.019 et=0.018
 30.00'  9250A f= -0.122 dh=   -0.021 s= 0.252 D=-0.090 e=0.024 et=0.039
 45.00'  9250A f= -0.008 dh=   -0.030 s= 0.366 D=-0.160 e=0.034 et=0.055
 60.00'  9250A f= -0.177 dh=   -0.037 s= 0.197 D=-0.254 e=0.049 et=0.072
 70.00'  9250A f= -0.577 dh=   -0.040 s=-0.204 D=-0.327 e=0.063 et=0.084
 73.00'  9250A f= -0.760 dh=   -0.040 s=-0.386 D=-0.351 e=0.067 et=0.087
 82.00'  9250A f= -1.534 dh=   -0.041 s=-1.160 D=-0.424 e=0.081 et=0.097
 90.00'  9250A f= -2.578 dh=   -0.039 s=-2.204 D=-0.491 e=0.097 et=0.106

Focal surface, lam=  4760: scale=-3.61519 mean ex pup at -5259.9
  ang      foc     ffit       ht      htfit    lindev      yp     dyp
     0   -0.361   -0.356    -0.000     0.000   -0.000  -0.0000 -0.0000
    30   -0.088   -0.096  -108.452  -108.452    0.005  -0.0383 -0.0419
    45    0.052    0.048  -162.685  -162.683    0.003  -0.0504 -0.0514
    60   -0.084   -0.076  -216.913  -216.914    0.009  -0.0554 -0.0489
    70   -0.458   -0.454  -253.069  -253.070    0.012  -0.0542 -0.0394
    73   -0.632   -0.632  -263.918  -263.918    0.011  -0.0531 -0.0351
    82   -1.380   -1.389  -296.474  -296.472   -0.001  -0.0472 -0.0183
    90   -2.399   -2.394  -325.431  -325.432   -0.027  -0.0380  0.0029

Coefficients for fitting polynomials in ht
Focal surface (0,2,4,8): -3.555e-001  2.754e-005 -4.725e-010  2.877e-016 
Exit Dir Cos  (1,3,5,7):  3.923e-004 -3.470e-009  1.479e-014 -6.221e-020 
Plate Dir Cos (1,3,5,7):  4.474e-004 -5.360e-009  1.651e-014 -6.221e-020 

FIELDS 1 THROUGH 22

Detailed tables of image quality and astrometric fitting errors with the 
following formats are available.

Best-focus composite images for field nn
 n       x        y      foc   eps   epsm longerr laterr

Images in focal plane, field nn
 n      xin       yin        q        r    foc       xi      eta    Drms  dfoc

TDI images for field nn, center    0.000  219.992 filter  SDSS  r filter

ASTROMETRIC FITTING ERRORS, order = 1, x,y= 1.4  0.8 microns

ASTROMETRIC FITTING ERRORS, order = 3, x,y= 0.0  0.0 microns

TDI OPTICAL SUMMARY

kent003 model with field flatteners, and curved P & A 94/07/07
Zernike ord=5  (24 rays)  Scan scale=  -3.6343 Av V scl=  -3.6346

  fld    x      y      size   fil ffc3 ccd4   vscale dfoc dc4 emin emax
   1   45.5    0.0  49.2x49.2  u  1.32  4.3  -3.6311   3  0.2   17   40
   2  136.5    0.0  49.2x49.2  u  1.32  4.3  -3.6326  10 -0.5   19   29
   3  227.5    0.0  49.2x49.2  u  1.32  4.3  -3.6329  30 -1.5   30   41
   4   45.5   65.0  49.2x49.2  i  1.40  4.3  -3.6350   4  0.2   18   21
   5  136.5   65.0  49.2x49.2  i  1.40  4.3  -3.6353  13 -0.4   20   24
   6  227.5   65.0  49.2x49.2  i  1.40  4.3  -3.6339  30 -1.3   25   35
   7   45.5  -65.0  49.2x49.2  z  1.40  4.3  -3.6350   4  0.1   18   21
   8  136.5  -65.0  49.2x49.2  z  1.40  4.3  -3.6351  13 -0.5   20   26
   9  227.5  -65.0  49.2x49.2  z  1.50  4.3  -3.6348  26 -1.1   28   39
  10   45.5  130.0  49.2x49.2  r  1.30  4.3  -3.6342  12 -0.5   18   19
  11  136.5  130.0  49.2x49.2  r  1.30  4.3  -3.6338  25 -1.0   20   23
  12  227.5  130.0  49.2x49.2  r  1.50  4.3  -3.6348  37 -1.4   27   32
  13   45.5 -130.0  49.2x49.2  g  1.30  4.3  -3.6347  11 -0.4   19   21
  14  136.5 -130.0  49.2x49.2  g  1.30  4.3  -3.6344  24 -0.9   21   23
  15  227.5 -130.0  49.2x49.2  g  1.40  4.3  -3.6345  40 -1.6   27   32
  16   45.5  204.5  49.2x9.6   r  1.50  4.3  -3.6357   2 -0.1   19   21
  17  136.5  204.5  49.2x9.6   r  1.50  4.3  -3.6353  10 -0.8   22   26
  18  227.5  204.5  49.2x9.6   r  1.80  4.3  -3.6365  20 -1.4   30   40
  19    0.0  220.0  49.2x9.6   r  1.50  4.3  -3.6356   1 -0.0   20   21
  20   91.0  220.0  49.2x9.6   r  1.50  4.3  -3.6354   6 -0.4   21   24
  21  182.0  220.0  49.2x9.6   r  1.60  4.3  -3.6358  17 -1.2   26   33
  22    0.0  235.5  49.2x9.6   r  1.50  4.3  -3.6355   2 -0.2   22   23

MECHANICAL & ASTROMETRIC SUMMARY

kent003 model with field flatteners, and curved P & A 94/07/07
Astrometric error fitting order = 3 

  fld    x      y    mnfoc    xtlt     ytlt     dx1   dy1     dx     dy
Filthk=  5.00
   1   45.5    0.0   7.799   0.0028  -0.0000    1.6   0.0   0.00   0.00 
   2  136.5    0.0   8.204   0.0036  -0.0000    1.8   0.0   0.00   0.00 
   3  227.5    0.0   8.224  -0.0070  -0.0000    1.3   0.0   0.01   0.00 
   4   45.5   65.0   7.863   0.0012   0.0017    1.3   0.0   0.01   0.00 
   5  136.5   65.0   7.990  -0.0008  -0.0004    1.2   0.0   0.00   0.01 
   6  227.5   65.0   7.507  -0.0135  -0.0039    1.5   0.4   0.01   0.00 
   7   45.5  -65.0   7.843   0.0011  -0.0015    1.3   0.0   0.01   0.00 
   8  136.5  -65.0   7.948  -0.0011   0.0005    1.2   0.0   0.01   0.00 
   9  227.5  -65.0   7.436  -0.0141   0.0040    2.0   0.3   0.00   0.00 
  10   45.5  130.0   8.022   0.0002   0.0007    1.0   0.1   0.00   0.01 
  11  136.5  130.0   7.980  -0.0032  -0.0031    1.0   0.2   0.01   0.01 
  12  227.5  130.0   7.228  -0.0174  -0.0099    2.6   0.6   0.01   0.01 
  13   45.5 -130.0   8.120   0.0006  -0.0016    1.0   0.1   0.01   0.01 
  14  136.5 -130.0   8.137  -0.0023   0.0022    1.0   0.2   0.00   0.00 
  15  227.5 -130.0   7.480  -0.0159   0.0091    1.9   0.7   0.00   0.01 
Filthk=  5.70
  16   45.5  204.5   7.446  -0.0017  -0.0075    1.5   0.7   0.00   0.00 
  17  136.5  204.5   7.059  -0.0086  -0.0128    2.2   0.1   0.01   0.00 
  18  227.5  204.5   5.632  -0.0265  -0.0239    6.4   0.1   0.00   0.01 
  19    0.0  220.0   7.366   0.0000  -0.0098    1.4   0.8   0.00   0.02 
  20   91.0  220.0   7.169  -0.0052  -0.0125    1.8   0.5   0.00   0.00 
  21  182.0  220.0   6.256  -0.0175  -0.0212    3.9   0.1   0.02   0.01 
  22    0.0  235.5   7.205  -0.0000  -0.0131    1.4   0.8   0.00   0.02 

This calculation took  25.3 seconds

Date created: 4/10/96
Last modified: 6/24/96
siegmund@astro.washington.edu