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Anamorph: ANAMORPH.LEN - An Anamorphic Telextender

Anamorph shows the use of cylindrical lenses, special apertures, and the pickup-length-minus (pkp lnm) command that holds the image in a fixed location, despite the motion of intermediate lenses.This type of system is often used as a telextender to change the focal length of an existing lens. This example shows a simple Bravais system, which is a system where the object coincides with the image. The system goes on the back end of an ordinary lens to create a sharp image with different magnification in the x and y directions. This is accomplished using cylindrical lenses with power in the yz meridian. The Bravais condition is imposed using a pk lnm command on surface 4. Actually, the condition cannot be precisely satisfied using cylindrical lenses because the thickness of the lenses displaces the image in the xz meridian. Therefore, the lens powers were chosen to make the image in the yz meridian lie on the same surface as the xz image.

Note the use of special apertures on surfaces 3 and 4 to model the rectangular lens.  

ANAMORPH

*PARAXIAL CONSTANTS
Effective focal length: -4.160855 Lateral magnification: 2.019103
Numerical aperture: 0.049281 Gaussian image height: -1.009551
Working F-number: 10.145865 Petzval radius: 4.269440
Lagrange invariant: 0.050000    
*PARAXIAL CONSTANTS - XZ PLANE
FRACTIONAL XZ APERTURE 1.000000 FRACTIONAL XZ OBJECT 1.000000
Effective focal length: 5.0000e+39 Lateral magnification: 1.000000
Numerical aperture: 0.099504 Gaussian image height: -0.500000
Working F-number: 5.024938 Petzval radius: 1.0000e+40
Lagrange invariant: 0.050000    
*LENS DATA Anamorphic Bravais objective 2x
SRF RADIUS THICKNESS APERTURE RADIUS GLASS SPE NOTE
0 -- -10.000000 0.500000 AIR    
1 8.462000 0.150000 1.100000 A SK16 C*  
2 -- 4.100000 1.100000 AIR    
3 -1.370000 0.100000 0.943398 X SK16 C*  
4 -- 5.650000 P 0.943398 PX AIR    
5 -- -- 1.050000      
*SURFACE TAG DATA
1 CVX --
3 CVX --
*PICKUPS
4 LNM   1   4 10.000000
4 AP   3      
4 SAP A   3 A  
*APERTURES
SRF   TYPE APERTURE RADIUS          
0   SPC 0.500000          
1   SPC 1.100000          
2   SPC 1.100000          
3   SPC 0.943398          
    Special Aperture Group 0:          
  A ATP Rectangle  AAC Transmit AAN --    
    AX1 -0.800000 AX2 0.800000 AY1 -0.500000 AY2 0.500000
4   PKP 0.943398          
    Special Aperture Group 0:          
  A ATP Rectangle AAC Transmit AAN --    
    AX1 -0.800000  AX2 0.800000 AY1 -0.500000 AY2 0.500000
5   SPC 1.050000