MPCC hyperbolic analysis for an 8 inch F3 Binoscope Log

Rob Brown's notes to me ---

Your binoscope project is compelling, especially because you are thinking of using the MPCC. As was noted recently a hyperbolic mirror does better with the MPCC, so I generated a design for you. Obviously you should parabolize the mirror first and see how it performs with the MPCC. If you’re not happy then here’s the solution. Maybe.

The challenge for your design is that there is a high degree of spherochromatism (each color comes to focus but at a different position.) The good news is that the problem goes away with a narrowband filter and possibly looks just fine with a dual band (h-alpha and OIII). Blue is horrible.

The spherochromatism is much improved for F/3.5.

Your new conic is -1.31. Not much change, of course star testing will drive you to perfection. Field curvature is something like 700mm convex as seen from the viewing side, with a sag of 0.198mm. There isn’t much improvement focusing inward, stars out at the edge will be blobs no matter what and they might change shape slightly. But those are low-power blobs!


Dimensions in millimeters. MPCC lens model is from Ed Jones via cloudy nights.
*LENS DATA
MPCC 8" F/3.1 Hyperbolic
SRF      RADIUS      THICKNESS   APERTURE RADIUS       GLASS  SPE  NOTE
OBJ       --        1.0000e+20    2.6186e+18             AIR    
  1        --        445.000000    113.252735 SX          AIR    
AST  -1.2598e+03   -564.333548 V  101.600000 AS      REFLECT   *
  3   -114.264000     -4.009000     25.356054 S         N-BK7 C  
  4    -53.863000     -5.641000     24.695853 S           AIR    
  5   -199.816000     -6.535000     24.623441 S         N-BK7 C  
  6    199.816000    -55.000000     24.293752 S           AIR    
IMS       --            --         16.631964 S                 *
*CONIC AND POLYNOMIAL ASPHERIC DATA
SRF        CC          AD          AE          AF          AG
  2    -1.3200e+00      --          --          --          --   
*SURFACE TAG DATA
  7     DRW ON
*PARAXIAL CONSTANTS
   Effective focal length: -635.089994    Lateral magnification:  -6.3509e-18
   Numerical aperture:        0.159977    Gaussian image height:    16.630417
   Working F-number:          3.125443    Petzval radius:         -657.471819
   Lagrange invariant:       -2.660490