Achromatic Doublet Design

50-mm f/5 achromatic doublet with 2° half-field of view.

This is a Fraunhoffer design.

Lens Specification

*LENS DATA
achromatic doublet
 SRF      RADIUS      THICKNESS   APERTURE RADIUS       GLASS  SPE  NOTE
 OBJ       --        1.0000e+20    3.4921e+18             AIR     

 AST    30.658123 V    2.000000      5.100000 A         N-BK7 C   
  2    -26.733948 V    0.100000      5.100000             AIR     

  3    -25.366250 V    1.000000      5.100000          N-SF10 C   
  4    -57.832251 S   48.484530 S    5.100000             AIR     

 IMS       --            --          1.746038 S                   

*SPECIAL DATA TYPES
 NO SPECIAL DATA TYPES

*SOLVES
  4     PU     -0.100000  PY        --    

*PICKUPS
 NO PICKUP DATA

*APERTURES
 SRF   TYPE APERTURE RADIUS
  0     SPC   3.4921e+18
  1     SPC     5.100000
  2     SPC     5.100000
  3     SPC     5.100000
  4     SPC     5.100000
  5     CMP     1.746038

*WAVELENGTHS
CURRENT  WV1/WW1     WV2/WW2     WV3/WW3
   1    0.587560    0.486130    0.656270
        1.000000    1.000000    1.000000

*REFRACTIVE INDICES
 SRF  GLASS/CATALOG        RN1         RN2         RN3        VNBR        TCE
  0   AIR               1.000000    1.000000    1.000000      --          --    
  1   N-BK7             1.516800    1.522376    1.514322   64.166410   71.000000
      SCHOTT        
  2   AIR               1.000000    1.000000    1.000000      --      236.000000
  3   N-SF10            1.728277    1.746431    1.720906   28.532156   94.000000
      SCHOTT        
  4   AIR               1.000000    1.000000    1.000000      --      236.000000
  5   IMAGE SURFACE

*INTERNAL TRANSMITTANCE (5 MM)
 SRF  GLASS/CATALOG      ITN1        ITN2        ITN3    
  0   AIR               1.0         1.0         1.0     
  1   N-BK7             0.999       0.999       0.999   
      SCHOTT        
  2   AIR               1.0         1.0         1.0     
  3   N-SF10            0.995       0.987       0.995   
      SCHOTT        
  4   AIR               1.0         1.0         1.0     
  5   IMAGE SURFACE

*CONDITIONS: SYSTEM NOTES
6: geniierf_lt 0.05 25.0 1.00 -0.90 0.90 0.80 -0.80 0.80 0.70 1.0 1.0

Paraxial Setup

*PARAXIAL SETUP OF LENS

 APERTURE
   Entrance beam radius: *    5.000000    Image axial ray slope:    -0.100000
   Object num. aperture:    5.0000e-20    F-number:                  5.000000
   Image num. aperture:       0.100000    Working F-number:          5.000000
 FIELD
   Field angle:          *    2.000000    Object height:          -3.4921e+18
   Gaussian image height:     1.746038    Chief ray ims height:      1.746038
 CONJUGATES
   Object distance:         1.0000e+20    Srf 1 to prin. pt. 1:      0.503183
   Gaussian image dist.:     48.484530    Srf 4 to prin. pt. 2:     -1.515470
   Overall lens length:       3.100000    Total track length:      1.0000e+20
   Paraxial magnification: -5.0000e-19    Srf 4 to image srf:       48.484530
 OTHER DATA
   Entrance pupil radius:     5.000000    Srf 1 to entrance pup.:      --    
   Exit pupil radius:         5.050830    Srf 4 to exit pupil:      -2.023768
   Lagrange invariant:       -0.174604    Petzval radius:          -68.811775
   Effective focal length:   50.000000
 SPOT DIAGRAMS
   Aperture divisions:       17.030000    Gaussian apod. spec.:     Off  
   X 1/e^2 entr. irrad.:      1.000000    Y 1/e^2 entr. irrad.:      1.000000

*PARAXIAL CONSTANTS
   Effective focal length:   50.000000    Lateral magnification:  -5.0000e-19
   Numerical aperture:        0.100000    Gaussian image height:     1.746038
   Working F-number:          5.000000    Petzval radius:          -68.811775
   Lagrange invariant:       -0.174604

Paraxial Raytrace

*PARAXIAL TRACE
 SRF      PY          PU          PI          PYC         PUC         PIC
  0       --      5.0000e-20  5.0000e-20 -3.4921e+18    0.034921    0.034921

  1     5.000000   -0.055567    0.163089      --        0.023023    0.034921
  2     4.888866   -0.178792   -0.238438    0.046045    0.034031    0.021300

  3     4.870986   -0.022533   -0.370818    0.049448    0.020512    0.032081
  4     4.848453   -0.100000   -0.106370    0.069960    0.034569    0.019302

  5       --       -0.100000   -0.100000    1.746038    0.034569    0.034569

Seidel Wavefront Coefficients

*SEIDEL WAVEFRONT ABERRATION COEFFICIENTS - WAVELENGTH 1
 COEFFICIENTS IN WAVELENGTHS
 SRF       W040        W131        W222        W220        W311
  1      1.036495    0.887741    0.190084    0.239202    0.102436
  2     19.339480   -6.910582    0.617340    0.473990   -0.084686

  3    -23.619010    8.173576   -0.707135   -0.569055    0.098463
  4      3.031474   -2.200409    0.399294    0.294164   -0.106760

 SUM    -0.211561   -0.049674    0.499583    0.438301    0.009454

Spot Diagrams


Maintained by John Loomis, last updated 14 May 2009