Subject: AXAF areas and encircled energy fractions
From: [email-masked] (Leon VanSpeybroeck)
To: [email-masked]
Cc: [email-masked], DD
Date: Mon, 1 Feb 93 13:48:12 EST

Bert, Dan, Ron: The following file contains more detailed encircled
energy and other mirror information. Hope that it's useful.

Leon Van Speybroeck

This file consists of four parts.

The first part gives the geometric definition of the
current mirror design (as of Feb. 1, 1993). The "uninteresting"
data for pairs 2 and 5 are included.

The second part gives the effective areas.

The third part gives predicted encircled energy performance
for our current guesses at P1H1 properties and assuming that
the remaining elements meet their specifications.

The fourth part gives predicted encircled energy performance
for our current guesses at P1H1 properties and assuming that
the remaining elements meet their goals.

There are important (similar) notes at the beginnings of parts 3 and 4.
The program inputs used for these calculations also are included.

PART 1:

Calculation Date: Mon Feb  1 10:33:30 1993

Mirror Name: axaf

Mirror Description:

Current baseline; EK05lvs
Original design corrected for Schott grinding errors
Corrected for focal length formula
Corrected to eliminate inner shell vignetting
Corrected to add additional axial separation of the elements
Inner radius decreased 0.75 mm.

Mirror Name: axaf

                          Axial Distance to Focal Plane, mm

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1   10937.00000   10098.80000   10038.70665   10018.00000    9179.80000
     2   10937.00000   10098.80000   10043.72760   10018.00000    9179.80000
     3   10937.00000   10098.80000   10048.14604   10018.00000    9179.80000
     4   10937.00000   10098.80000   10051.98447   10018.00000    9179.80000
     5   10937.00000   10098.80000   10055.27652   10018.00000    9179.80000
     6   10937.00000   10098.80000   10058.05420   10018.00000    9179.80000

                        Axial Distance to Focal Plane, inches

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1     430.59055     397.59055     395.22467     394.40945     361.40945
     2     430.59055     397.59055     395.42235     394.40945     361.40945
     3     430.59055     397.59055     395.59630     394.40945     361.40945
     4     430.59055     397.59055     395.74742     394.40945     361.40945
     5     430.59055     397.59055     395.87703     394.40945     361.40945
     6     430.59055     397.59055     395.98639     394.40945     361.40945

             Axial Distance in mm to station   10058.40000 mm from focus

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1     878.60000      40.40000     -19.69335     -40.40000    -878.60000
     2     878.60000      40.40000     -14.67240     -40.40000    -878.60000
     3     878.60000      40.40000     -10.25396     -40.40000    -878.60000
     4     878.60000      40.40000      -6.41553     -40.40000    -878.60000
     5     878.60000      40.40000      -3.12348     -40.40000    -878.60000
     6     878.60000      40.40000      -0.34580     -40.40000    -878.60000

         Axial Distance in inches to station     396.00000 inches from focus

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1      34.59055       1.59055      -0.77533      -1.59055     -34.59055
     2      34.59055       1.59055      -0.57765      -1.59055     -34.59055
     3      34.59055       1.59055      -0.40370      -1.59055     -34.59055
     4      34.59055       1.59055      -0.25258      -1.59055     -34.59055
     5      34.59055       1.59055      -0.12297      -1.59055     -34.59055
     6      34.59055       1.59055      -0.01361      -1.59055     -34.59055

Mirror Name: axaf

                                      Radius, mm

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1     612.69078     600.34506     599.45019     598.52343     560.86506
     2     552.46949     541.33678     540.59730     539.55924     505.60936
     3     493.40861     483.46567     482.85824     481.77216     451.45717
     4     435.62935     426.85049     426.35484     425.27403     398.51324
     5     379.10675     371.46674     371.06573     370.03420     346.74878
     6     323.81612     317.29022     316.96956     316.02294     296.13584

                                    Radius, inches

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1      24.12168      23.63563      23.60040      23.56391      22.08130
     2      21.75077      21.31247      21.28336      21.24249      19.90588
     3      19.42554      19.03408      19.01017      18.96741      17.77390
     4      17.15076      16.80514      16.78562      16.74307      15.68950
     5      14.92546      14.62467      14.60889      14.56828      13.65153
     6      12.74867      12.49174      12.47912      12.44185      11.65889

                                     Diameter, mm

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1    1225.38156    1200.69012    1198.90037    1197.04685    1121.73012
     2    1104.93898    1082.67356    1081.19460    1079.11848    1011.21872
     3     986.81722     966.93135     965.71649     963.54431     902.91435
     4     871.25871     853.70098     852.70967     850.54805     797.02648
     5     758.21351     742.93347     742.13147     740.06840     693.49755
     6     647.63225     634.58043     633.93912     632.04587     592.27169

                                   Diameter, inches

Mirror            Parabola             Intersect            Hyperbola
Number       Front         Back          Plane         Front         Back

     1      48.24337      47.27126      47.20080      47.12783      44.16260
     2      43.50153      42.62494      42.56672      42.48498      39.81176
     3      38.85107      38.06816      38.02033      37.93482      35.54781
     4      34.30152      33.61027      33.57125      33.48614      31.37900
     5      29.85093      29.24935      29.21777      29.13655      27.30305
     6      25.49733      24.98348      24.95823      24.88370      23.31778

Mirror Name: axaf

Optical constants for paraboloids and hyperboloids

                                                 Eccentricity e
Mirror                     Parabola                                        Hyperbola
Number        e                       e-1                     e                       e-1

     1   1.000000000000000E+00   0.000000000000000E+00   1.000889490235458E+00   8.894902354580492E-04
     2   1.000000000000000E+00   0.000000000000000E+00   1.000722955331257E+00   7.229553312569747E-04
     3   1.000000000000000E+00   0.000000000000000E+00   1.000576453642337E+00   5.764536423371139E-04
     4   1.000000000000000E+00   0.000000000000000E+00   1.000449221187552E+00   4.492211875523093E-04
     5   1.000000000000000E+00   0.000000000000000E+00   1.000340127580704E+00   3.401275807043442E-04
     6   1.000000000000000E+00   0.000000000000000E+00   1.000248099202621E+00   2.480992026210962E-04

                                               Conic constant d
Mirror                     Parabola                                        Hyperbola
Number        mm                      inches                  mm                      inches

     1   8.933311353013142E+00   3.517051713784702E-01   8.944536089899261E+00   3.521470901535142E-01
     2   7.263795921334463E+00   2.859762173753726E-01   7.271708922988109E+00   2.862877528735476E-01
     3   5.793962415442468E+00   2.281087565134830E-01   5.799422835790887E+00   2.283237336925546E-01
     4   4.516579927384627E+00   1.778181073773475E-01   4.520260391477150E+00   1.779630075384705E-01
     5   3.420659114544552E+00   1.346716186828564E-01   3.423072575221099E+00   1.347666368197283E-01
     6   2.495705046740179E+00   9.825610420236926E-02   2.497235821888228E+00   9.831637094048143E-02

                                                z offset (zoff)
Mirror                     Parabola                                        Hyperbola
Number        mm                      inches                  mm                      inches

     1   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00
     2   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00
     3   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00
     4   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00
     5   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00
     6   1.006921899483571E+04   3.964259446785713E+02   0.000000000000000E+00   0.000000000000000E+00

Mirror                         a                                     Grazing Angle, Radians
Number        mm                      inches                   Parabola                Hyperbola

     1   5.030135241237741E+03   1.980368205211709E+02   1.490140521783675E-02   1.492012610863609E-02
     2   5.030972329151087E+03   1.980697767382318E+02   1.343580298594526E-02   1.345043785687594E-02
     3   5.031708950466176E+03   1.980987775774085E+02   1.199872723108599E-02   1.201003413860711E-02
     4   5.032348859686928E+03   1.981239708538161E+02   1.059308021412403E-02   1.060171164141577E-02
     5   5.032897670109386E+03   1.981455775633617E+02   9.218210981300615E-03   9.224714560671698E-03
     6   5.033360724635568E+03   1.981638080565184E+02   7.873479904866636E-03   7.878309012708289E-03

Mirror Name: axaf

                             Element Lengths
Mirror            Parabola                     Hyperbola
Number       mm            inches        mm            inches

     1     838.20000      33.00000     838.20000      33.00000
     2     838.20000      33.00000     838.20000      33.00000
     3     838.20000      33.00000     838.20000      33.00000
     4     838.20000      33.00000     838.20000      33.00000
     5     838.20000      33.00000     838.20000      33.00000
     6     838.20000      33.00000     838.20000      33.00000

                         Approximate Sagital Depths
Mirror            Parabola                     Hyperbola
Number       mm            inches        mm            inches

     1       0.03141       0.00124       0.03616       0.00142
     2       0.02833       0.00112       0.03262       0.00128
     3       0.02530       0.00100       0.02913       0.00115
     4       0.02234       0.00088       0.02573       0.00101
     5       0.01944       0.00077       0.02239       0.00088
     6       0.01661       0.00065       0.01913       0.00075

Mirror     Foc ln mm   microns/sec        mm/min    arc sec/mm    arc min/mm

     1   10065.54532      48.79914       2.92795      20.49216       0.34154
     2   10065.54532      48.79914       2.92795      20.49216       0.34154
     3   10065.54532      48.79914       2.92795      20.49216       0.34154
     4   10065.54532      48.79914       2.92795      20.49216       0.34154
     5   10065.54532      48.79914       2.92795      20.49216       0.34154
     6   10065.54532      48.79914       2.92795      20.49216       0.34154
Wt. Av   10065.54532      48.79914       2.92795      20.49216       0.34154

Mirror     Foc ln in      mils/sec      inch/min   arc sec/mil    arc min/in

     1     396.28131       1.92123       0.11527       0.52050       8.67502
     2     396.28131       1.92123       0.11527       0.52050       8.67502
     3     396.28131       1.92123       0.11527       0.52050       8.67502
     4     396.28131       1.92123       0.11527       0.52050       8.67502
     5     396.28131       1.92123       0.11527       0.52050       8.67502
     6     396.28131       1.92123       0.11527       0.52050       8.67502
Wt. Av     396.28131       1.92123       0.11527       0.52050       8.67502

                                     Axial Station of Intersection Plane Quantities
                                         Distance From                Distance From
                                          Focal Plane                Center Reference

                                        mm           inches         mm           inches

Center Mechanical Reference:      10058.40000     396.00000       0.00000       0.00000
Average intersection station:     10049.31591     395.64236      -9.08409      -0.35764
Wt. Average:                      10046.60507     395.53563     -11.79493      -0.46437
Input aperture plane:             10937.00000     430.59055     878.60000      34.59055

PART 2:

Mirror Coating Information
Mirror pair number:    1     Density =  22.3900 gm cm**-2
      Coating name: Ir
      Coating description: B.L. Henke, J.C. Davis, E.M. Gullikson, and R.C.C. Perera
Version of 1990

Mirror pair number:    2     IS NOT INCLUDED
Mirror pair number:    3     Density =  22.3900 gm cm**-2
      Coating name: Ir
      Coating description: B.L. Henke, J.C. Davis, E.M. Gullikson, and R.C.C. Perera
Version of 1990

Mirror pair number:    4     Density =  22.3900 gm cm**-2
      Coating name: Ir
      Coating description: B.L. Henke, J.C. Davis, E.M. Gullikson, and R.C.C. Perera
Version of 1990

Mirror pair number:    5     IS NOT INCLUDED
Mirror pair number:    6     Density =  22.3900 gm cm**-2
      Coating name: Ir
      Coating description: B.L. Henke, J.C. Davis, E.M. Gullikson, and R.C.C. Perera
Version of 1990

Average Grazing Angle, arc minutes

            Pair  Parabola Hyperbola   Support
                                       Factor
(nest)    43.238    42.226    44.250

P1H1      51.865    50.630    53.100   0.9126
P3H3      41.746    40.777    42.715   0.9059
P4H4      36.850    36.004    37.696   0.9016
P6H6      27.382    26.764    28.000   0.8897

!!!
Note: The following areas should be multiplied by
approximately 0.9 to allow for support structure;
more accurate values are given above (and may
change slightly as the mechanical design evolves).
!!!