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Back focal plane objective design

  • February 22, 2025
  • 1 reply
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CJ27
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Hi there Zemax community, 

 

I am coming here now in search of your expertise and help with a design problem that I am having.

 

I have the following optical system which consists of a “quasi” solid immersion lens (Weierstrass lens) in combination with a singlet that generates a collimated output. Here I am just interested in the on-axis point so while optimizing this system, I just considered spherical aberrations and the overall angular deviations for the output wavefront in the afocal mode:

 

As you might guess from the title, I want to use image the back focal plane of this system. For me the question here is: Where is the back focal plane of this “objective”? 

 

I found this arxiv paper in where they make an analysis of different commercial objectives used for doing back focal plane imaging:

https://arxiv.org/pdf/1507.04037

 

From figure 4 in the paper I can think that if I want to find the back focal plane, I need to change the source from being a point to plane waves coming from the object’s plane location and then finding the “plane” at which each one of these plane waves is in focus. When I try this for my system, this is what I got:

 

 

When I look at the “focus” for each plane wave, these are not all defined on a single planar surface. To me, it seems that there is  a strong “field curvature” in this case. (I dont know if this can be thought as so here).

So here my questions are two:

-First at all, is my interpretation of the back focal plane correct in this case? Is this approach of using “plane wave” at the object plane correct? Can I just set the aperture type to entrance pupil diameter and set the diameter to a small value? (Here my aperture stop is just flat surface after the object space surface) How could I better extract details about the back focal plane for this “objective” configuration?

-My second point is: If this is a correct way to model the back focal plane imaging configuration, should I try to minimize the field curvature in this configuration here? Would this make sense? (So that I can have a planar image plane in this back focal plane configuration case)

 

Thanks a lot for the comments and feedback!!

 

1 reply

CJ27
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  • 23 replies
  • February 22, 2025

Hi there again,

I found that if I change the location of my stop, then I obtain different results for the estimated aberrations. Originally for the last plot I shared above, the stop was at the imaginary surface right after the object plane.

If I change the stop to be the first spherical surface, then I obtain different results:

 

 

From my understand, if the system was aplanatic, I would then have that the back focal plane would be really planar, isnt this correct? Would it be possible to impose such an aplanatic condition on this system? 


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