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Re: [ATM] Attempted Parametrization of a Petzval Design



Attila Schné wrote:

>
>Dou you use Zemax to design these lenses? Can you give me suggestion
>how can I use the optimisation function in Zemax?
>
>I have not to much knowledge about it.
>
Actually, I used the GSUM tool to design the doublet.  Then I used
ZEMAX to test the Petzval design.

I want to preface the rest with the note that I don't think I've
found two people who agree on merit functions.  Many will
totally disagree with mine.  Also, you should really read the
optimization chapter in the User's Guide.  You may also have to
go back to previous chapters to get the background for the
optimization discussions.

In April 2000, George Anderson sent us Roland Christen's 11 inch
Petzval Design.  That design consists of two air-spaced N-K5/F2
doublets.  Each doublet has isoconvex crown element and mating
inner radii.  Attempting to parametrize that design in ZEMAX:

First, the desired effective focal length had to provide a
given f/#:

Num Type Int1 Int2          Target            Weight

   2 CONS                    7.50000E+000           0
   3 EPDI                    0.00000E+000           0
   4 PROD    3    2          0.00000E+000           0
   5 EFFL         6          0.00000E+000           0
   6 DIFF    5    4          0.00000E+000           0
   7 CONS                    1.00000E+000           0
   8 PROD    7    6          0.00000E+000           1

Second, the desired doublet to doublet separation had to be a
given fraction of the focal length:

Num Type Int1 Int2          Target            Weight

  10 CONS                    8.77745E-001           0
  11 PROD   10    5          0.00000E+000           0
  12 TTHI    5    5          0.00000E+000           0
  13 ETVA    5    0          0.00000E+000           0
  14 MINN   12   13          0.00000E+000           0
  15 DIFF   14   11          0.00000E+000           0
  16 CONS                    1.00000E-001           0
  17 PROD   16   15          0.00000E+000           1

I need to calculate semi-diameters (ZEMAX supplies diameters):

Num Type Int1 Int2          Target            Weight

  19 CONS                    5.00000E-001           0

ZEMAX does not allow specification of isoconvexity and
fixed edge thickness.  Consistent with the design of the
GSUM tool, I specify the minimum thickness as a fraction
of the semi-diameter, but with different values for convex
and concave lenses; I know this gives a discontinuity at
the boundary, but ...

Num Type Int1 Int2          Target            Weight

  21 CONS                    1.25000E-001           0
  22 CONS                    1.50000E-001           0

Semi-diameter of the first doublet:

  Num Type Int1 Int2          Target            Weight

  24 DMVA    2               0.00000E+000           0
  25 PROD   24   19          0.00000E+000           0

Edge thickness of the convex lens in the first doublet.

Num Type Int1 Int2          Target            Weight

  27 ETVA    2    0          0.00000E+000           0
  28 DIVI   27   25          0.00000E+000           0
  29 DIFF   28   21          0.00000E+000           0
  30 CONS                    5.00000E+000           0
  31 PROD   30   29          0.00000E+000           1

Central thickness of the concave lens in the first doublet.

Num Type Int1 Int2          Target            Weight

  33 TTHI    4    4          0.00000E+000           0
  34 DIVI   33   25          0.00000E+000           0
  35 DIFF   34   22          0.00000E+000           0
  36 CONS                    5.00000E+000           0
  37 PROD   36   35          0.00000E+000           1

Semi-diameter of the second doublet:

Num Type Int1 Int2          Target            Weight

  39 DMVA    6               0.00000E+000           0
  40 PROD   39   19          0.00000E+000           0

Edge thickness of the convex lens in the second doublet:

Num Type Int1 Int2          Target            Weight

  42 ETVA    6    0          0.00000E+000           0
  43 DIVI   42   40          0.00000E+000           0
  44 DIFF   43   21          0.00000E+000           0
  45 CONS                    5.00000E+000           0
  46 PROD   45   44          0.00000E+000           1

Central thickness of the concave lens in the second doublet:

Num Type Int1 Int2          Target            Weight

  48 TTHI    8    8          0.00000E+000           0
  49 DIVI   48   40          0.00000E+000           0
  50 DIFF   49   22          0.00000E+000           0
  51 CONS                    5.00000E+000           0
  52 PROD   51   50          0.00000E+000           1

A small air-space in the first doublet may yield ghosts.
This will have to be checked later.  Absolute thickness
constraint on the air-space in the first doublet:

Num Type Int1 Int2          Target            Weight

  54 CONS                    0.00000E+000           0
  55 TTHI    3    3          0.00000E+000           0
  56 ETVA    3    0          0.00000E+000           0
  57 MINN   55   56          0.00000E+000           0
  58 DIFF   57   54          0.00000E+000           0
  59 OPGT   58               0.00000E+000           0
  60 CONS                    1.00000E-001           0
  61 PROD   60   59          0.00000E+000           1

Absolute thickness constraint on the air-space in the
second doublet:

Num Type Int1 Int2          Target            Weight

  63 CONS                    0.00000E+000           0
  64 TTHI    7    7          0.00000E+000           0
  65 ETVA    7    0          0.00000E+000           0
  66 MINN   64   65          0.00000E+000           0
  67 DIFF   66   63          0.00000E+000           0
  68 OPGT   67               0.00000E+000           0
  69 CONS                    1.00000E-001           0
  70 PROD   69   68          0.00000E+000           1

Optical performance:

Num Type Int1 Int2          Target            Weight

  72 DMFS

I selected the lens diameters, f/#, separation ratio,
wavelengths and field.  After freezing the thicknesses and
radii (manual intervention):

Surf     Radius      Thickness      Glass      Diameter

STO   Infinity      -6.652961                      290
   2    1583.45             33       N-K5           300
   3   -1583.45           5.55                      300
   4   -1583.45           22.5         F2           300
   5    49432.3         1909.1                      300
   6    1017.51           22.4       N-K5           200
   7   -1017.51              0                      200
   8   -1017.51             15         F2           200
   9    61956.2       1046.915                      200
IMA  -3055.721                                42.27809

The only bad ghost detected by ZEMAX is the reflection
between the lenses of the second doublet;-)



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