CASS - Telescope Design Program, SPP Version of 28-AUG-07
       Executed on: Tue 16:00:39 28-Aug-2007
       Parameters based on third order aberration calculations.

LBT F/15 BENT GREGORIAN FOCUS (infrared, case D, new BFD)
telescope input parameters
                3.     number of mirrors in optical train
                3.     gregorian configuration
             8.408     primary mirror diameter (m)
           1.14177     primary focal ratio
          -14.7204     system focal ratio
               5.3     axis -- focus distance (m)
             INDEF     secondary focal length (m)
                4.     field diameter (arcmin)
             0.898     primary obstruction (m)
               40.     maximum infrared wavelength (microns)
               3.7     tolerable diffraction radius
       7.000000E-4     infrared centration allowance (m)
              2.25     height of tertiary above vertex (m)
           1.00029     refractive index of air
other telescope parameters
          9.600002     primary focal length (m)
  solving based on fs and eve
              3.05     effective vertex distance (m)
         -12.89261     magnification of secondary
         -123.7691     system focal length (m)
       0.002445788     throughput (ubar1*y1)
       -0.03396647     telescope numerical aperture
       -0.03396315     half angle of telescope light cone (in air, rad)
         0.7853982     tertiary tilt angle from optical axis (rad)
               5.3     pathlength from tertiary to focus (m)
          10.66369     separation of m1 and m2 (m)
          13.71369     pathlength from secondary to focus (m)
         0.7775945     l = separation / back focal distance
         0.3177083     beta = vertex distance / focal length of m1
         0.3627498     eta = normalized vertex back focus
        0.01140689     specified central obstruction (fractional area)
         0.9871208     focal length of secondary (m)
          96.24219     entrance pupil position relative to primary (m)
         -9.025225     entrance pupil magnification, paraxial
         0.9442862     vertex diameter of secondary (m)
         0.0126131     obscuration by secondary (fractional area)
         0.9318784     vertex diameter of beam at secondary (m)
         0.1749726     ?exit pupil throughput (ubar*y) for secondary
               -1.     primary asphere fixed
        -0.7328021     secondary asphere for cass
                1.     primary eccentricity
         0.8560386     secondary eccentricity
normalized structural aberration coefficients
     -1.575118E-14     sigmai
               -1.     sigmaii
          -9.80282     sigmaiii
          138.2766     sigmaiv
         -22.57252     sigmav
primary mirror parameters
         0.4602503     sagitta of primary mirror (m)
          -5652.75     primary aspheric amplitude (microns)
         0.4311129     half angle of primary light cone (rad)
         0.4180033     primary numerical aperture
          1.196163     ??primary focal ratio apparently
secondary mirror parameters
         0.9404014     edge diameter of secondary mirror (m)
           1.04968     secondary focal ratio
        0.05620711     sagitta of secondary mirror (m)
         0.9145526     *infrared vertex diameter of secondary mirror (m)
          8.254044     *entrance pupil diameter, paraxial (m)
                       (using chief rays through secondary vertex)
       -0.01240776       field correction to m2 diameter (m)
           -0.0014       centration correction to m2 diameter (m)
       1.624639E-4     infrared diffraction angle (radians)
      -0.003515957       diffraction correction to m2 diameter (m)
         0.9109714     infrared edge diameter of secondary mirror (m)
          1.083591     infrared secondary focal ratio
         0.0527317     sagitta of secondary mirror (m)
          8.251091     effective primary aperture (m)
          15.00001     effective system focal ratio
          8.362538     effective primary envelope (m)
          100.7615     ??entrance pupil position relative to primary (m)
         -9.495984     ??entrance pupil magnification
           8.65057     ??entrance pupil diameter, from edge (m)
          -530.295     secondary aspheric amplitude (microns)
         0.1182378     infrared unused hole in secondary (m)
         -12.89261     ??magnification by focal length
         -12.89261     ??magnification by image distance
         -12.69355     ??magnification by angle U
         -13.53796     ??magnification by tangent U
         -12.30635     ??magnification by numerical aperture
tertiary mirror parameters
         0.3601479     diameter of beam at tertiary (m)
        0.08835412       field correction to tertiary diameter (m)
          0.448502     minor axis diameter of tertiary (m)
         0.4578008       upper tertiary minor axis diameter (m)
         0.4395734       lower tertiary minor axis diameter (m)
       0.006444376     offset of the tertiary ellipse (m)
         0.4486871     corrected minor axis diameter of tertiary (m)
         0.6345394     major axis diameter of tertiary (m)
       0.001366921       diffraction correction to m3 diameter (m)
            0.0014       centration correction to m3 diameter (m)
          0.451454     infrared minor axis diameter of tertiary (m)
         0.6384524     infrared major axis diameter of tertiary (m)
         0.6789233     hole in converging light above tertiary (m)
         0.0126131     fractional area of telescope obscuration
          52.76998     net telescope collecting area (m**2)
wavefront aberration coefficients
      8.109179E-14     w040  (microns)  spherical aberration
        -0.7054392     w131  (microns)  coma
         0.2368898     w222  (microns)  astigmatism
          -1.67076     w220p (microns)  field curvature
       -0.01868577     w311  (microns)  distortion
focal plane parameters
         0.6000496     platescale (mm/arcsec)
       5.817764E-4     field radius angle (ubar1), (rad)
         0.1440119     linear diameter of focal plane (m)
             0.047     rms angular image radius tolerance (arcsec)
          28.20233     rms physical image radius tolerance (microns)
          1.520967     fractional curved field radius
          6.083869     maximum curved field diameter (arcmin)
        -0.8950837     ?petzval radius of curvature (m)
         -1.042961     focal plane radius of curvature (m)
         0.8939903     fractional flat field radius
          3.575961     maximum flat field diameter (arcmin)
           1.17422     height of largest flat field (mm)
         -0.550124     full field distortion (microns)
field focus curve for aligned system
     radius        focal plane height     image size         wave aberration
 (mm)   (arcmin)    (mm)     (+/-mm)   (micron)  (arcsec)      (micron rms)
   0.00   0.00 -1.874E-13      1.17   1.59E-12  2.65E-15        9.87E-15
   3.60   0.10   0.006214      1.17      0.848   0.00141         0.00416
   7.20   0.20    0.02486      1.17        1.7   0.00283         0.00833
  10.80   0.30    0.05593      1.17       2.55   0.00424          0.0125
  14.40   0.40    0.09943      1.17        3.4   0.00566          0.0168
  18.00   0.50     0.1554      1.16       4.25   0.00708          0.0211
  21.60   0.60     0.2237      1.15       5.11   0.00851          0.0255
  25.20   0.70     0.3045      1.15       5.97   0.00994            0.03
  28.80   0.80     0.3977      1.14       6.83    0.0114          0.0346
  32.40   0.90     0.5033      1.13        7.7    0.0128          0.0393
  36.00   1.00     0.6214      1.12       8.57    0.0143          0.0441
  39.60   1.10     0.7519      1.11       9.45    0.0157          0.0491
  43.20   1.20     0.8948      1.09       10.3    0.0172          0.0542
  46.80   1.30       1.05      1.08       11.2    0.0187          0.0596
  50.40   1.40      1.218      1.06       12.1    0.0202           0.065
  54.00   1.50      1.398      1.04        13.    0.0217          0.0707
  57.60   1.60      1.591      1.02       13.9    0.0232          0.0766
  61.21   1.70      1.796     0.998       14.8    0.0247          0.0826
  64.81   1.80      2.013     0.973       15.8    0.0263          0.0889
  68.41   1.90      2.243     0.946       16.7    0.0279          0.0954
  72.01   2.00      2.486     0.916       17.7    0.0294           0.102
secondary alignment tolerances based on rms image radius
        0.09588546     wavefront focus -- axial motion (micron/micron)
          7.064276     m2 focus tolerance (on-axis) -- axial motion (micron)
          5.507792     m2 focus tolerance (field) -- axial motion (micron)
      -9.456429E-6     scale change without refocus (fraction/micron)
      -1.306083E-5     scale change with refocus (fraction/micron)
       0.004568509     wavefront spherical ab'n -- axial motion (micron/micron)
        0.08966701       induced image radius (micron/micron)
       1.494327E-4       induced image radius (arcsec/micron)
          314.5229       tolerable secondary motion (micron)
          27.48479     wavefront spherical ab'n -- focal motion (micron/meter)
       -0.05227985       tolerable focal plane motion (m)
        0.01103283     wavefront spherical ab'n -- primary asphere (micron/ppm)
         0.2165435       induced image radius (micron/ppm)
       3.608759E-4       induced image radius (arcsec/ppm)
       1.302387E-4       tolerable primary asphere error
       0.001529529     wavefront spherical ab'n -- secondary asphere (micron/ppm)
        0.03002037       induced image radius (micron/ppm)
       5.002981E-5       induced image radius (arcsec/ppm)
       9.394400E-4       tolerable secondary asphere error
          1.063686     distance from m2 to zero-coma pivot (m)
                0.     distance from prime focus to zero-coma pivot (m)
        -0.1022064     image motion from zero-coma rotation (arcsec/arcsec)
        -0.2216011     image motion from m2 vertex rotation (arcsec/arcsec)
          13.89261     image motion from lateral displacement (micron/micron)
        0.02315244     image motion from lateral displacement (arcsec/micron)
        0.02098232     wavefront coma -- lateral motion (micron/micron)
         0.5043794       induced image radius (micron/micron)
       8.405629E-4       induced image radius (arcsec/micron)
          55.91491       tolerable motion (micron)
         0.1082036     wavefront coma -- vertex rotation (micron/arcsec)
          2.601031       induced image radius (micron/arcsec)
       0.004334693       induced image radius (arcsec/arcsec)
          10.84275       tolerable rotation (arcsec)
        -0.4882808     wavefront coma -- vertex chop angle (micron/arcsec)
         -11.73745       induced image radius (micron/arcsec)
       -0.01956079       induced image radius (arcsec/arcsec)
         -2.402766       tolerable vertex chop throw (arcsec)
          74.90606       tolerable zero coma chop throw (arcsec), astig only
         0.9765616     wavefront coma -- primary rotation (micron/arcsec)
          23.47489       induced image radius (micron/arcsec)
        0.03912158       induced image radius (arcsec/arcsec)
          1.201383       tolerable rotation (arcsec)
tertiary alignment tolerances
        0.08564333     image motion from tertiary rotation (arcsec/arcsec)
Writing OSLO format input file: ybg15.len
Deleting existing output file.