NAOMI  OPTICAL  DESIGN                                                         wht-naomi-81

 

 

Document Number   N/EA/OPTIC3/DOC

Version date 6/9/96

 

 

1.  DESCRIPTION

 

The f/10.94 beam and +/- 1.5 arcmin FOV from the WHT (plate scale=4.51”/mm or 222 mm/arcsec) are collimated by an off-axis paraboloid  P1 (Rc= 1213.702 ; clear aperture=110mm;off-axis angle  of 14 degrees; off-axis distance 149.024),mounted in a fast-steering platform . The 56 mm collimated beam is then reflected by a deformable mirror positioned at the pupil image of the primary mirror and then converted to a f/16.83 beam  by a second off-axis paraboloid P2 (Rc= 1785.015; clear aperture 170mm; off-axis angle of 21.2774,off-axis distance 335.304). The plate scale at the f/16.83 is 2.93”/mm or 341 mm/arcsec).A dichroic (6mm thick and tilted by 31.75 deg.), reflecting the IR and  transmitting the Visible  is inserted at 800 mm from P2. In the visible path a field lens (doublet) and a set of pick-off mirrors  feed the tracking sensor,the wavefront sensors and the acquisition camera.     

 

 

 

 

 

 

 

2.  OPTICAL LAYOUT

 

 

 

 

 

 

 

 

 

 

 

                                                   FIELD LENS :

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.   IMAGE QUALITY

 

 

                                  SPOT DIAGRAM : AO+FIELD LENS

 

 

 

 

 

 

 

 

 

                                

 

 

 

 

 

 

 

 

 

 

 

 

 

                RMS WAVEFRONT ERROR VS FIELD (AO+FIELD LENS)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

              RMS WAVEFRONT ERROR VS FIELD (AO+DICHROIC+FIELD LENS)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                     SPOT DIAGRAM  (AO+DICHROIC+FIELD LENS)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                        ENCIRCLED ENERGY (AO+DICHROIC +FIELD LENS)

 

 

 

 

 

 

 

 

 

 

 

 

 

                                        

 

 

 

 

 

 

 

 

 

 

            SPOT DIAGRAM : AO (NO FIELD LENS; COMMON PATH).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

         ENCIRCLED ENERGY : AO  (NO FIELD LENS;COMMON PATH)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                       RMS  WAVEFRONT ERROR VS  FIELD (COMMON-PATH)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.  GENERAL LENS DATA

 

 

Surfaces        :          43

Stop            :           5

System Aperture :Entrance Pupil Diameter

Ray aiming      : Off

Apodization     :Uniform, factor =     0.000000

Eff. Focal Len. :    -65850.4 (in air)

Eff. Focal Len. :    -65850.4 (in image space)

Total Track     :     10519.1

Image Space F/# :     15.7537

Para. Wrkng F/# :      15.759

Working F/#     :     16.7863

Obj. Space N.A. :   2.09e-007

Stop Radius     :        2090

Parax. Ima. Hgt.:     28.7327

Parax. Mag.     :           0

Entr. Pup. Dia. :        4180

Entr. Pup. Pos. :      8394.4

Exit Pupil Dia. :     254.176

Exit Pupil Pos. :     3904.25

Field Type      : Angle in degrees

Maximum Field   :       0.025

Primary Wave    :    0.550000

Lens Units      : Millimetres

Angular Mag.    :     16.4453

 

Fields          : 7

Field Type: Angle in degrees

#        X-Value        Y-Value         Weight

1       0.000000       0.000000       1.000000

2       0.000000       0.008330       1.000000

3       0.000000      -0.008330       1.000000

4       0.000000       0.025000       1.000000

5       0.000000      -0.025000       1.000000

6       0.025000       0.000000       1.000000

7      -0.025000       0.000000       1.000000

 

Wavelengths     : 3

Units: Microns

#          Value         Weight

1       0.550000       1.000000

2       0.700000       1.000000

3       1.000000       1.000000

 

 

 

 

 

SURFACE DATA SUMMARY (WHT+IMAGE ROTATOR+AO+FIELD LENS)

 

Surf     Type         Comment       Radius    Thickness        Glass     Diameter       Conic

 

 OBJ STANDARD                     Infinity     Infinity                       

   1 STANDARD                     Infinity          400                             4187.325           

   2 STANDARD                     Infinity            0                               4186.976          

   3 STANDARD                     Infinity            0                               4186.976          

   4 STANDARD                     Infinity       7994.4                           4186.976          

 STO STANDARD                  Infinity        105.9                            4180           

   6 STANDARD                       -20879    -8034.961   MIRROR     4180.001          -1

   7 STANDARD                     -6231.38      9969.75   MIRROR     972.0992    -2.53287

   8 STANDARD                     Infinity           84

   9 COORDBRK                     --------            0                                 --------

  10 STANDARD                     Infinity            0          MIRROR     178.5608          

  11 COORDBRK                     --------         -134                              --------

  12 COORDBRK                     --------            0                                 --------

  13 STANDARD                     Infinity            0          MIRROR     83.67378         

  14 COORDBRK                     --------          134                               --------

  15 COORDBRK                     --------            0                                 --------

  16 STANDARD                     Infinity            0          MIRROR     127.2986         

  17 COORDBRK                     --------         -163                              --------

  18 STANDARD                     Infinity          -50                              44.38411          

  19 STANDARD                     Infinity         -616                             39.98415         

  20 COORDBRK                     --------            0                                   --------

  21 STANDARD                     Infinity      -9.1489                    

  22 COORDBRK                     --------            0                                    --------

  23 STANDARD                     1213.702            0       MIRROR          110.0          -1

  24 COORDBRK                     --------       9.1489                                  --------

  25 STANDARD                     Infinity          645                      

  26 COORDBRK                     --------            0                                       --------

  27 STANDARD                     Infinity            0          MIRROR         57.51365         

  28 COORDBRK                     --------            0                                       --------

  29 STANDARD                     Infinity         -650                                57.30973          

  30 STANDARD                     Infinity        -1050                               98.52954          

  31 STANDARD                     Infinity     -31.4924

  32 COORDBRK                     --------            0                                      --------

  33 STANDARD                     1785.015            0       MIRROR          170.0        -1

  34 COORDBRK                     --------            0                                    --------

  35 STANDARD                     Infinity      31.4924                     

  36 COORDBRK                     --------            0                                     --------

  37 STANDARD                     Infinity          800                      

  38 STANDARD                     Infinity           99                                    74.98465         

  39 STANDARD                    -531.1744        4.256          BK7             63.95176         

  40 STANDARD                     143.2352          5.5            LLF6            63.66394          

  41 STANDARD                     Infinity        19.25                                  63.59303         

  42 STANDARD                     Infinity            0                                     62.50112          

 IMA STANDARD                   Infinity            0                                    62.50112         

 

 

SURFACE DATA DETAIL:

 

Surface OBJ     : STANDARD

Surface   1     : STANDARD

Surface   2     : STANDARD

 Aperture       : Circular Aperture

 Minimum Radius :           609

 Maximum Radius :          2200

Surface   3     : STANDARD

Surface   4     : STANDARD

Surface STO     : STANDARD

Surface   6     : STANDARD

Surface   7     : STANDARD

Surface   8     : STANDARD

Surface   9     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :            60

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  10     : STANDARD

Surface  11     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :            60

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  12     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :           -30

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  13     : STANDARD

Surface  14     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :           -30

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  15     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :            60

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  16     : STANDARD

Surface  17     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :            60

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  18     : STANDARD

Surface  19     : STANDARD

Surface  20     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :           -14

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  21     : STANDARD

Surface  22     : COORDBRK

 Decenter X     :             0

 Decenter Y     :      -149.024

 Tilt About X   :             0

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  23     : STANDARD

 Aperture       : Circular Aperture

 Minimum Radius :             0

 Maximum Radius :          66.5

 Y- Decenter   :       149.024

Surface  24     : COORDBRK

 Decenter X     :             0

 Decenter Y     :       149.024

 Tilt About X   :             0

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  25     : STANDARD

Surface  26     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :             7

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  27     : STANDARD

Surface  28     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :             7

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  29     : STANDARD

Surface  30     : STANDARD

Surface  31     : STANDARD

Surface  32     : COORDBRK

 Decenter X     :             0

 Decenter Y     :      -335.304

 Tilt About X   :             0

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  33     : STANDARD

 Aperture       : Circular Aperture

 Minimum Radius :             0

 Maximum Radius :          88.5

 Y- Decenter   :       335.304

Surface  34     : COORDBRK

 Decenter X     :             0

 Decenter Y     :       335.304

 Tilt About X   :             0

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  35     : STANDARD

Surface  36     : COORDBRK

 Decenter X     :             0

 Decenter Y     :             0

 Tilt About X   :       21.2774

 Tilt About Y   :             0

 Tilt About Z   :             0

Surface  37     : STANDARD

Surface  38     : STANDARD

Surface  39     : STANDARD

Surface  40     : STANDARD

Surface  41     : STANDARD

Surface  42     : STANDARD

Surface IMA     : STANDARD

 

SOLVE AND VARIABLE DATA:

 

Semi Diam   8      : Fixed

Semi Diam  21      : Fixed

Semi Diam  23      : Fixed

Thickness of  24   : Solve, pick up value from 21, scaled by -1.00000

Parameter  2 Surf  24: Pickup from 22 times -1.000000

Semi Diam  25      : Fixed

Semi Diam  31      : Fixed

Semi Diam  33      : Fixed

Parameter  2 Surf  34: Pickup from 32 times -1.000000

Thickness of  35   : Solve, pick up value from 31, scaled by -1.00000

Semi Diam  35      : Fixed

Semi Diam  37      : Fixed

 

 

 

 

 

INDEX OF REFRACTION DATA:

 

Surf     Glass      0.550000    0.700000    1.000000

 

39       BK7    1.51852239  1.51306400  1.50750220

  40      LLF6    1.53404072  1.52682584  1.52013994

 

F/# DATA:

 

F/# calculations consider vignetting factors and ignore surface apertures.

 

             Wavelength:        0.550000            0.700000            1.000000   

 #                Field        Tan       Sag       Tan       Sag       Tan       Sag

 1   0.0000, 0.0000 deg:   16.7863   16.7863   16.7865   16.7865   16.7851   16.7851

 2   0.0000, 0.0083 deg:   16.6264   16.7899   16.6266   16.7902   16.6250   16.7887

 3  0.0000, -0.0083 deg:   16.9702   16.7900   16.9703   16.7903   16.9687   16.7888

 4   0.0000, 0.0250 deg:   16.3765   16.8193   16.3756   16.8193   16.3732   16.8174

 5  0.0000, -0.0250 deg:   17.4158   16.8209   17.4149   16.8208   17.4122   16.8189

 6   0.0250, 0.0000 deg:   16.8145   16.8894   16.8144   16.8884   16.8125   16.8859

 7  -0.0250, 0.0000 deg:   16.8145   16.8894   16.8144   16.8884   16.8125   16.8859

 

GLOBAL VERTEX COORDINATES AND DIRECTIONS:

 

Surf      X coord       Y coord       Z coord   X direc   Y direc   Z direc

  1      0.000000      0.000000      0.000000  0.000000  0.000000  1.000000

  2      0.000000      0.000000    400.000000  0.000000  0.000000  1.000000

  3      0.000000      0.000000    400.000000  0.000000  0.000000  1.000000

  4      0.000000      0.000000    400.000000  0.000000  0.000000  1.000000

  5      0.000000      0.000000   8394.400000  0.000000  0.000000  1.000000

  6      0.000000      0.000000   8500.300000  0.000000  0.000000  1.000000

  7      0.000000      0.000000    465.339000  0.000000  0.000000  1.000000

  8      0.000000      0.000000  10435.089000  0.000000  0.000000  1.000000

  9      0.000000      0.000000  10519.089000  0.000000 -0.866025  0.500000

 10      0.000000      0.000000  10519.089000  0.000000 -0.866025  0.500000

 11      0.000000      0.000000  10519.089000  0.000000 -0.866025 -0.500000

 12      0.000000    116.047404  10586.089000  0.000000 -1.000000 -0.000000

 13      0.000000    116.047404  10586.089000  0.000000 -1.000000 -0.000000

 14      0.000000    116.047404  10586.089000  0.000000 -0.866025  0.500000

 15      0.000000     -0.000000  10653.089000  0.000000 -0.866025 -0.500000

 16      0.000000     -0.000000  10653.089000  0.000000 -0.866025 -0.500000

 17      0.000000     -0.000000  10653.089000  0.000000  0.000000 -1.000000

 18      0.000000     -0.000000  10816.089000  0.000000  0.000000 -1.000000

 19      0.000000     -0.000000  10866.089000  0.000000  0.000000 -1.000000

 20      0.000000     -0.000000  11482.089000  0.000000 -0.241922 -0.970296

 21      0.000000     -0.000000  11482.089000  0.000000 -0.241922 -0.970296

 22      0.000000    146.810670  11454.913970  0.000000 -0.241922 -0.970296

 23      0.000000    146.810670  11454.913970  0.000000 -0.241922 -0.970296

 24      0.000000      2.213319  11490.966139  0.000000 -0.241922 -0.970296

 25      0.000000     -0.000000  11482.089000  0.000000 -0.241922 -0.970296

 26      0.000000   -156.039623  10856.248257  0.000000 -0.121869 -0.992546

 27      0.000000   -156.039623  10856.248257  0.000000 -0.121869 -0.992546

 28      0.000000   -156.039623  10856.248257  0.000000  0.000000 -1.000000

 29      0.000000   -156.039623  10856.248257  0.000000  0.000000 -1.000000

 30      0.000000   -156.039623  11506.248257  0.000000  0.000000 -1.000000

 31      0.000000   -156.039623  12556.248257  0.000000  0.000000 -1.000000

 32      0.000000    179.264377  12587.740657  0.000000  0.000000 -1.000000

 33      0.000000    179.264377  12587.740657  0.000000  0.000000 -1.000000

 34      0.000000   -156.039623  12587.740657  0.000000  0.000000 -1.000000

 35      0.000000   -156.039623  12587.740657  0.000000  0.000000 -1.000000

 36      0.000000   -156.039623  12556.248257  0.000000  0.362884 -0.931834

 37      0.000000   -156.039623  12556.248257  0.000000  0.362884 -0.931834

 38      0.000000    134.267339  11810.780707  0.000000  0.362884 -0.931834

 39      0.000000    170.192825  11718.529097  0.000000  0.362884 -0.931834

 40      0.000000    171.737258  11714.563210  0.000000  0.362884 -0.931834

 41      0.000000    173.733119  11709.438120  0.000000  0.362884 -0.931834

 42      0.000000    180.718630  11691.500308  0.000000  0.362884 -0.931834

 43      0.000000    180.718630  11691.500308  0.000000  0.362884 -0.931834

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.    TOLERANCE ANALYSIS  (CODEV)

                           

 

                         D E F I N I T I O N   O F   P A R A M E T E R   T Y P E S

 

 

         BRL     Rotation (in radians) of the group of surfaces about the Z‑axis

         BTX     Tilt in X (in radians) of the group of surfaces about the pole of the first surface

         BTY     Tilt in Y (in radians) of the group of surfaces about the pole of the first surface

         CYD     Cylinder (at 45 degrees) irregularity in fringes at  546.1 nm. over the clear aperture

         CYN     Cylinder (at 0 degrees) irregularity in fringes at  546.1 nm. over the clear aperture

         DLA     Tilt (in radians) of the surface in the Y‑Z plane about its pole

         DLB     Tilt (in radians) of the surface in the X‑Z plane about its pole

         DLF     Test plate fit (power) in fringes at  546.1 nm. over the clear aperture

         DLG     Rotation (in radians) of the surface about the Z‑axis

         DLR     Change of radius in mm.

         DLT     Change of thickness in mm.

         DLX     Lateral displacement of the surface in the X‑direction in mm.

         DLY     Lateral displacement of the surface in the Y‑direction in mm.

         DSX     Lateral displacement of the group of surfaces in the X‑direction in mm.

         DSY     Lateral displacement of the group of surfaces in the Y‑direction in mm.

         TRX     Total indicator runout in X (resulting in a surface tilt) at the clear aperture in mm.

         TRY     Total indicator runout in Y (resulting in a surface tilt) at the clear aperture in mm.

         DSZ     Axial displacement of the group of surfaces in mm.

         DAK     Conic constant

 

 

 

DEFINITION OF SURFACE NUMBERS:

 

 

Number      Component

 

19                 WHT f/11 focal plane

 

23                off-axis paraboloid  P1

 

27                Deformable Mirror DM

 

33                off-axis paraboloid  P2

 

38                f/16.8 focal plane

 

__________________________________________________________________________

 

    20‑Jun‑96                                    C O D E   V                                 POSITION  1

 

                                   S E N S I T I V I T Y   A N A L Y S I S

                                 RMS WAVEFRONT ABERRATION

 

         WHT +IMROT + AO(1.5)

 

 

 

       NOMINAL RMS             = 0.036

                                                                             

    

                                                  changes in rms         rms

   Manufacturing                        for + and -              change          DLT  S19           DLT  S38

         errors                                manufacturing        wavefront

                                                     errors

       type              change

                                                                         

   DLR S23        1.0000000v       0.000     0.000       0.000           ‑0.500000         -0.04

                                                                       

   DAK S23        0.0010000v       0.000     0.000       0.001           ‑0.055840        -0.15    

                                                                        

   DAK S33        0.0010000v       0.000     0.000       0.002            0.115487         0.22

                                                                         

   DLR S33        2.0000000v       0.000     0.000       0.000           ‑0.194743          0.50

                                                                         

   CYD S23        0.2500000v       0.000     0.000       0.000            0.001749          0.00

                                                                         

   CYN S23        0.2500000v       0.000     0.000       0.000            0.002296          0.002

                                                                         

   CYD S33        0.2500000v       0.000     0.000       0.000           ‑0.000021          0.00

                                                                        

   CYN S33        0.2500000v       0.000     0.000       0.000           ‑0.000356          0.00

                                                                        

   DLA S23        0.0003000v       0.002     0.000       0.007            0.184111           0.50

                                                                         

   DLB S23        0.0003000v       0.001     0.001       0.006            0.000000           0.0

                                                                         

   DLA S33        0.0001000v       0.000     0.000       0.002            0.057375           0.16

                                                                         

   DLB S33        0.0001000v       0.000     0.000       0.002            0.000000          0.00

                                                                        

   DLG S23        0.0010000v       0.000     0.000       0.000            0.000000          0.00

                                                                         

   DLG S33        0.0010000v       0.000     0.000       0.000            0.000000           0.00

                                                                         

   DLX S23        0.1000000v       0.000     0.000       0.000            0.000000           0.00

                                                                         

   DLY S23        0.1000000v       0.000     0.000       0.000            0.114754           0.31

                                                                          

   DLX S33        0.1000000v       0.000     0.000       0.000            0.000000          0.00

                                                                         

   DLY S33        0.1000000v       0.000     0.000       0.000            0.000441          0.00

                                                                         

   DLF S27        1.0000000v       0.000     0.000       0.001           ‑0.391182           0.25

                                                                          

   CYD S27        0.2500000v       0.004     0.004       0.016           ‑0.048898          0.03     

                                                                       

   CYN S27        0.2500000v       0.002     0.007       0.019           ‑0.038269          0.09

                                                                        

   DLA S27        0.0001000v       0.000     0.001       0.005           ‑0.095364         -0.21     

                                                                         

   DLB S27        0.0001000v       0.000     0.000       0.004            0.000000           0.00    

                                                                        

   DLG S27        0.0010000v       0.000     0.000       0.000            0.000000           0.00

                                                                        

   DLX S27        0.1000000v       0.000     0.000       0.000            0.000000           0.00

                                                                          

   DLY S27        0.1000000v       0.000     0.000       0.000            0.000000           0.00

                                                                         

   DSX S20..37    0.1000000v       0.000     0.000       0.000            0.000000          0.00

                                                                     

   DSY S20..37    0.1000000v       0.000     0.000       0.000            0.115196          0.37

                                                                         

   DSZ S20..37    0.1000000v       0.000     0.000       0.000           ‑0.131783          0.00

                                                                        

   BTX S20..37    0.0010000v       0.000     0.000       0.001            0.000000          0.00

                                                                         

   BTY S20..37    0.0010000v       0.000     0.000       0.001            0.329162          0.50

                                                                         

   BRL S20..37    0.0010000v       0.000     0.000       0.000            0.000000          0.00

                                                                         

 

   RSS                                                   0.028

 

    PROBABLE CHANGE IN RMS         0.006

 

             PROBABLE CHANGE OF COMPENSATORS (+/‑)            dlt s19            0.87

                                                                                                               dlt s38            1.04

 

    Units ‑ linear dimensions in mm.    angles in radians,

            fringes in wavelengths at  546.1 nm.

            RMS is in wavelengths (averaged over spectral region)

 

    The probable change in RMS assumes a uniform distribution of manufacturing

    errors over the range for all parameters except tilt and decenter

    which have a truncated Gaussian distribution in X and Y

 

          CUMULATIVE        CHANGE

         PROBABILITY        IN RMS

          50.0 PCT.          0.002        * If it is assumed that the errors can

          84.1 PCT.          0.004          only take on the extreme values

          97.7 PCT.          0.006 *        of the tolerances, the 97.7 percent

          99.9 PCT.          0.008          probable change in RMS is  0.009

 

 

 

‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑

 

 LATERAL IMAGE SHIFT (mm)

 

 

                                                                          

                                                   

      MANUFACTURING ERROR             SHIFT             

   TYPE             CHANGE          

                                                                                  

                                          

   DLR S23        1.000000                          0.000000      

                                            

   DAK S23        0.001000                          0.000000     

                                   

   DAK S33        0.001000                          0.000000     

                                            

   DLR S33        2.000000                          0.000000     

                                            

   CYD S23        0.250000                          0.000471    

                                             

   CYN S23        0.250000                          0.000000      

                                          

   CYD S33        0.250000                        0.000234      

                                            

   CYN S33        0.250000                         0.000000     

                                          

   DLA S23        0.000300                         0.000000    

                                          

 

   DLB S23        0.000300                         ‑0.549838     

                                          

 

   DLA S33        0.000100                          0.000000     

                                           

   DLB S33        0.000100                         ‑0.181758     

                                         

 

   DLG S23        0.001000                          0.000000      

                                           

 

   DLG S33        0.001000                          0.000000     

                                            

   DLX S23        0.100000                          0.149853    

                                       

 

   DLY S23        0.100000                          0.000000    

                                             

 

   DLX S33        0.100000                              0.100051      

 

   DLY S33        0.100000                              0.000000      

                                             

   DLF S27        1.000000                              0.000000    

                                            

   CYD S27        0.250000                             0.000001     

                                          

   CYN S27        0.250000                            0.000000      

                                         

   DLA S27        0.000100                            0.000000      

                                            

   DLB S27        0.000100                            0.183372     

                                            

   DLG S27        0.001000                            0.000000      

                                         

   DLX S27        0.100000                            0.000000      

                                            

   DLY S27        0.100000                            0.000000      

                                          

 

   DSX S20..37    0.100000                          0.249904     

                                          

 

   DSY S20..37    0.100000                          0.000000    

                                             

   DSZ S20..37    0.100000                          0.000000      

                                             

   BTX S20..37    0.001000                        ‑0.645878   

                                            

   BTY S20..37    0.001000                        0.000000     

                                         

   BRL S20..37    0.001000                       ‑0.345966     

                                          

 

   RSS                                              1.000376                                                  

       

 

 

 

                             PERFORMANCE SUMMARY:

 

 

                                                                      WAVELENGTH  

                                                                          1600.0 NM      

 

  ‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑

 

 

               RELATIVE    DESIGN        DESIGN              COMPENSATOR RANGE (+/‑) *

                 FIELD                                 + TOL *

                                                                                                 DLT S19              DLT S38

 

 

             0.00, 0.00           0.036                0.042                        0.872514             1.037480

 

             0.00,‑1.00          0.174                 0.180                        0.872514             1.037480

 

             0.00, 1.00          0.186                 0.191                        0.872514             1.037480

 

  ‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑‑

 

 

                 * The change in RMS is a mean plus 2 Sigma value (97.7 percent)

                   and assumes a uniform distribution of manufacturing errors over the range

                   for all tolerances except decentration errors which have a truncated

                   Gaussian distribution in X and Y

 

                   The compensator range is a mean plus 2 Sigma value.

                   Linear compensators are in units of millimeters.

 

 

 

5.   TECHNICAL SPECIFICATION AND ADJUSTMENTS REQUIRED FOR THE OFF-AXIS PARABOLOIDS:

  

These are related to the precision achieved in the manufacturing of the off-axis paraboloids and the image quality required at the f/16.8 focus. I assumed that the rms wavefront error shall be <150 nm over the central 1 arcmin field and <300nm at the edge of the field.  Practically the deformable mirror should be able to correct for imperfect optics as well as telescope aberrations and atmospheric wavefront errors.

The 2 off-axis  mirrors will be manufactured with a surface accuracy of 125 nm P-V or 25 nm RMS over the clear aperture. The off-axis distance of P1 will be 149.0±0.5 mm and P2 335.3±0.5mm. Their respective focal lengths (measured along optical axis from vertex to focus position ) are 606.85±3.0 mm and 892.51±4.0 mm.

The adjustments on the tilt of the OAP  that are required for alignment  and testing: 2 axis tilts covering a 6 deg angular range with a 0.3 arcsec angular resolution  and 3 linear motions (x,y,z) covering ±10 mm travel range and a linear resolution <2mm.

 

        

6. TOLERANCE REQUIREMENT ON FLEXURE,THERMAL,VIBRATION...FOR THE OPTICS:

 

 

An rms of 0.006 arcsec for jitter on the optical bench means that the image should not shift by more than 2 mm rms at the f/16.8 focal plane. The first paraboloid  P1 should not tilt by more than 0.22 arcsec  and decenter by more than 1.3 mm ; the second one P2  should not tilt by more than 0.23 arcsec and decenter by more than 2 mm. The whole optical chassis should not tilt by more than 0.6 arcsec .