What Determines the Direction of Twist in Helical Wavefronts?

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Discussion Overview

The discussion revolves around the properties of light, specifically focusing on the concept of helical wavefronts and the factors that determine the direction of twist in these wavefronts. Participants explore the implications of light having both spin and orbital angular momentum, as well as the experimental setups that can create twisted light.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants express surprise at the existence of orbital angular momentum in light, noting that they were previously unaware of this property.
  • There is a discussion about the different types of momentum associated with photons, including linear momentum, spin (intrinsic angular momentum), and orbital angular momentum. One participant questions if there are any other forms of momentum related to photons.
  • Participants clarify the meaning of "intrinsic" in the context of photon properties, indicating it refers to fundamental characteristics that all photons possess.
  • One participant questions the assumption that the existence of orbital angular momentum in light was unknown, prompting clarification from others about their prior knowledge.
  • A participant raises a question about the lack of asymmetry in a specific forked grating and how this relates to determining the handedness of helical wavefronts, seeking to understand the underlying principles governing this phenomenon.
  • Another participant speculates on the interference patterns generated by different Laguerre-Gaussian modes, particularly in relation to left-handed wavefronts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the understanding of orbital angular momentum in light, with some expressing surprise at its existence while others assert it is already known. The discussion about the factors determining the direction of twist in helical wavefronts remains unresolved, with differing viewpoints on the role of asymmetry in experimental setups.

Contextual Notes

There are limitations regarding the assumptions made about the knowledge of orbital angular momentum in light, as well as the specific conditions under which helical wavefronts are generated. The discussion also touches on the mathematical representation of angular momentum without resolving the implications of these calculations.

jby
Have you guys heard of this:

http://www.sciam.com/article.cfm?chanID=sa006&colID=5&articleID=0001A73A-45BC-1F7F-82D883414B7F0000
 
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No, I hadn't, I know light has spin angular momentum, but I never realized it had orbital angualr momentum too.
 
Yes! I just got that, I had never heard of it before. I'm planning to do as the article says and go get the diffraction grating from that website one of these days. Edit: I just went to the page and see that it doens't have the whole aricle, I just assumed it did...
 
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The entire article was not available, but here are some info sites on the subject:

http://www.aias.us/pub/OAMLight/oamlight.html

It also has links to 2 research groups.

Here are some articles from the Los Alamos arXiv:

http://arxiv.org/PS_cache/quant-ph/pdf/0308/0308093.pdf
http://arxiv.org/PS_cache/quant-ph/pdf/0111/0111112.pdf
http://arxiv.org/PS_cache/astro-ph/pdf/0307/0307430.pdf
 
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so the photon as linear momentum(P=E/c),spin(intrinsic angular momentum),and now we find out it has orbital angular momentum. Is there any other momenta associated with a photon?

P.S.
What does intrinsic mean anyway?
 
Originally posted by bdkeenan00
so the photon as linear momentum(P=E/c),spin(intrinsic angular momentum),and now we find out it has orbital angular momentum. Is there any other momenta associated with a photon?

P.S.
What does intrinsic mean anyway?

Instrinsic means that it is a fundmanetal property of the photon, i.e. all photons have a spin quantum number(s) of 1 which is related to the spin angular momentum by:

√s(s+1)h/2π

As far as I'm aware, there are no other sorts of angular momentum other than those described associated with the photon (excpet for things like total angualr momentum which is the sum of spin and orbital angular momentum).
 
Where are you guys getting the idea that we didn't know that light has orbital angular momentum?
 
Originally posted by eigenguy
Where are you guys getting the idea that we didn't know that light has orbital angular momentum?

No, it was just that I didn't know light had orbital momentum.
 
Originally posted by jcsd
Instrinsic means that it is a fundmanetal property of the photon, i.e. all photons have a spin quantum number(s) of 1 which is related to the spin angular momentum by:

√s(s+1)h/2π

As far as I'm aware, there are no other sorts of angular momentum other than those described associated with the photon (excpet for things like total angualr momentum which is the sum of spin and orbital angular momentum).

Thank you :smile:
 
  • #10
The forked grating at http://departments.colgate.edu/physics/research/optics/oamgp/gp.htm

does not seem to have any assymmetry that would decide the direction of twist. What then determines whether the helical wavefront is right or left handed?

[Edit: The Sci Am article referred to in the original post contains a link to the site mentioned here. The page contains a grating pattern that let's anyone create "twisted" light using a laser pointer.]
 
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  • #11
does not seem to have any assymmetry that would decide the direction of twist. What then determines whether the helical wavefront is right or left handed?

quote from paper:
If we calculate the interference pattern generated by combining LG00 and LG0+1...

What would the pattern look like if it is generated with the left handed LG0-1? It must be something like a negative image.
 

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