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asymmetric beam expander

  • February 2, 2023
  • 2 replies
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Peyman ZK

Hello, 

I am trying to simulate the performance of an asymmetric beam expander, where I am using Thorlabs off-the-shelf Achromat as the first lens (AC254-100-C-ML, f=100mm) followed by two cylindrical lenses (LJ1567RM, f=100mm and LJ1653RM, f=200 mm) where there symmetry axis are 90 degrees rotated against one another. the ZAR file could be found here: https://drive.google.com/file/d/1gAt3KT4l3skTJVrEGIAvONIGXtym0Fr0/view?usp=share_link.

My understanding is that, with this setup, I should have a 1-to-1 expansion in one axis and a factor two expansion on the other. Obviously, the only parameter which I could ask ZEMAX to optimize would be the inter-lens distances. I am using Afocal Image Space and using REAX and REAY operands with target values of 1 and 2, in addition to the ones that ZEMAX optimization wizard fills up for me (these are used by ZEMAX demonstration on how to model a beam expander (afocal system) and I am trying to follow the same footsteps here). In the Merit function I would then expect 1 and 2 for magnification (REAX and REAY operands target values) but these values are very off and I only get some what better result (0.9 and 1.6) when I put both Px and Py values at the optimization wizard equal to one. But then at the ZEMAX manual I see that this relaion “ Px^2+Py^2=1” should be held for these normalized pupil coordinates. 

I am a beginner with ZEMAX, which is very obvious I guess, and any comment would be quite helpful for me. 

Thanks in advance

Peyman

Best answer by David

Hi Peyman,

For a beginner, I think your on the right track! I have adjusted your design in only two ways:

  1. I set the coordinate break to rotate the first cylinder by 90 degrees and made it not variable.
  2. I set the REAY and REAX operands in the merit function to each address only their own axis and corrected their targets to account for the negative magnification.

After this, optimization achieved expansion of 1.013 on one axis and 2.037 on the other. The reason they can’t achieve a perfect 1.00 and 2.00 is that the off-the-shelf lens curvatures are fixed, but chosen by you as good values for the purpose. The spot sizes are diffraction limited.

I attach the modified file as a ZAR in a ZIP.

 

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2 replies

David
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  • Luminary
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  • February 3, 2023

Hi Peyman,

For a beginner, I think your on the right track! I have adjusted your design in only two ways:

  1. I set the coordinate break to rotate the first cylinder by 90 degrees and made it not variable.
  2. I set the REAY and REAX operands in the merit function to each address only their own axis and corrected their targets to account for the negative magnification.

After this, optimization achieved expansion of 1.013 on one axis and 2.037 on the other. The reason they can’t achieve a perfect 1.00 and 2.00 is that the off-the-shelf lens curvatures are fixed, but chosen by you as good values for the purpose. The spot sizes are diffraction limited.

I attach the modified file as a ZAR in a ZIP.

 


Peyman ZK
  • Author
  • Single Emitter
  • 2 replies
  • February 6, 2023

Dear David, 

many thanks for your reply. This was a great help. 

best regards, 

Peyman


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