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how does geometric image analysis handle TIR?

  • 3 October 2023
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Hello! Does anybody know how total internal reflection (TIR) is handled in geometric image analysis? 

Thanks!

Liz 

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Best answer by Jeff.Wilde 4 October 2023, 06:45

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I looked into this a little myself and realized I should share my findings. Please see attached PDF detailing my investigation and attached zemax files if you want to follow along.

  • It’s not clear what happens to rays which undergo TIR--do they simply contribute to a reduced coupling efficiency, or does something different happen? 
  • Also, the functionality of the “delete vignetted ” checkbox is slightly confusing -- rays which appear to be TIR’d (and not vignetted) seem to be removed from the analysis. 
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Hey Liz,

In sequential mode, there is not really a concept of TIR...there is only transmission or reflection; in other words, rays only go from “left to right” unless it hits a mirror.  A transmitted or reflected ray will have the same intensity as the incoming ray minus the reflection coefficient (uncoated) or the coating stack (coated).  Also, a single surface in sequential mode is either purely transmissive or purely reflective, there is no “mixed” surface like in non-sequential mode.

In your setup, any rays that TIR in sequential mode are terminated and not propagated to the next surface (remember, a sequential surface only knows the surface before so if the previous surface reflects rays away from the next surface, this ray will stop propagating).  These are essentially dead rays, they will not contribute to aberrations but they will decrease the efficiency of the system.

The “delete vignetted” checkbox only applies to the vignetting factors in the FDE.  In a system without Circular Apertures on the lenses, you might approximate the number of rays through the system by compressing/decentering the bundle of rays in the Entrance Pupil.  Clicking the “delete vignetted” will set the Field Data Editor’s VDX/VDY/VCX/VCY/TAN values to 0 and then calculate the efficiency.  

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@liz_strong :

Just to add to Michael’s response, the help documentation summarizes how TIR rays are handled:

 

Regarding the vignetting issue, here are some more details and examples that may be helpful. 

Vignetting in sequential mode occurs because of an aperture (or possibly TIR) on some surface, other than the stop surface, that blocks rays from reaching the last surface.  When using the GIA tool to view the ray distribution at a surface following the vignetting surface, the rays that are blocked by the aperture (or terminated by TIR) on the vignetting surface will not appear because they have already been terminated. 

However, there may be occasions when the user is interested in viewing the ray distribution at a plane that proceeds the vignetting surface.  Then the question arises, would you like to see all of the rays crossing that surface or only the subset of rays that were ultimately able to pass through the downstream aperture (or that did not suffer TIR) and make it to the final surface?  Why would someone be interested in the latter case?  Well, the case of TIR is a prime example.  Even though the rays exist at surfaces prior to a TIR surface, you might only care about the spatial distribution of those rays that do not subsequently suffer TIR, and would like to see their distribution at a plane before reaching the TIR surface.  There are many other examples too, so it’s very useful to have the “Delete Vignetted” option for these intermediate surfaces.

Here is one simple example that illustrates the two options when the GIA tool displays the image at an intermediate surface in front of a hard aperture:

Delete Vignetted is not selected

 

Delete Vignetted is selected

 

Here is a second example that shows similar behavior for TIR from a prism surface.

First, let’s set the refractive index of the prism to 1.0 so that there is no TIR.

 

Now, let’s set the prism index to 3.0 so that TIR occurs, but we will look at the ray distribution before TIR without using the “Delete Vignetted” option.

 

Now, let’s select the Delete Vignetted option for both the layout and GIA windows -- in this case no rays are shown because of the TIR condition.

 

Hope this helps...

Regards,

Jeff

Thank you! 

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