Implementation of Laguerre-Gaussian beams

Profiling and analysis of laser beams with ImageJ

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#5 Implementation of Laguerre-Gaussian beams

Milestone: 1.4.2

Status: accepted

Owner: Wenjamin Rosenfeld

Labels: Laguerre-Gaussian (1)

Updated: 2024-12-15

Created: 2023-05-24

Creator: Tilen

Private: No

Dear Wenjamin,

Thank you for your amazing product!

Do you have any plans to implement Laguerre-Gaussian beam fitting in the future?

Kind regards, Tilen

Discussion

Wenjamin Rosenfeld - 2023-05-27

status: open --> accepted

Milestone: 1.4.1 --> 1.4.2
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Wenjamin Rosenfeld - 2023-05-27

Dear Tilen,
thank you for your feedback! I suppose you are referring to fitting the radial part of the Laguerre-Gauss? This is a very reasonable feature to implement, though it has never been asked for (I guess because higher-order modes with unbroken symmetry are not so common).
I will look into this for the next release and let you know when there is a version you could test.

Best regards
Wenjamin

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Tilen - 2023-05-27

That is right, I mean the radial part. Anyway, thank you for your willingness to implement this change.

Best regards, Tilen

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Wenjamin Rosenfeld - 2023-06-18

Dear Tilen,

The Laguerre-Gauss fitting functionality is now implemented.
Could you please try out the new version below and let me know if it works for you?
https://sourceforge.net/projects/beamprofiler/files/Testing/Beam_Profiler-1.4.2pre01.jar

Also could you please share some images with Laguerre-Gaussian modes (as I mentioned these are not so common)?

Best regards
Wenjamin

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- David Demmer - 2024-12-09
  
  I was just browsing this thread and saw your request for an LG image. Here's one I took a while back. It's likely a combination of LG00 and LG05. I obtained it by deliberately misaligning the pump beam into an Nd:YAG NPRO laser. Sorry about the poor quality. Not much good for anything other than "looks cool" I'm afraid.
  
  TRL4 Misaligned Mode Observation.png
  
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  - Wenjamin Rosenfeld - 2024-12-15
    
    Hi David,
    thank you for the image, the profile looks cool indeed!
    Best
    Wenjamin
    
    Last edit: Wenjamin Rosenfeld 2024-12-15
    
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Tilen - 2023-06-18

Dear Wenjamin,

I will check the new version and try to find some suitable images as soon as I complete some other obligations.

Best regards, Tilen

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Tilen - 2023-06-21

Dear Wenjamin,

I just tried the plugin for the first time and it seems to work well. As the person who possesses relevant experimental images currently isn't at job (due to some knee-related issues), I checked the plugin using theoretically-obtained intensity profiles.

By the way (though I am sure you intend to put this in documentation), could you also provide the equation you used for LG intensity profiles?

Best regards, Tilen

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Wenjamin Rosenfeld - 2023-06-25

Dear Tilen,
that is good to hear.
Regarding the fit, please find attached the equation which is fit to the data.

Best regards
Wenjamin

LG-Fit.png

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