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The Engineer
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Physicists Tied Laser Beams into Knots

08/07/2018 2:59 PM

I've read this a few times and I'm still not sure I understand exactly how they're doing it, but it sounds pretty cool!

Physicists Tied Laser Beams into Knots

A team of physicists has tied light into figure-8 and torus knots.

The researchers, according to a paper published July 30 in the journal Nature Physics, figured out how to make the waves of two laser beams of light interfere with one another, and ultimately loop around each other in ways you might be more likely to associate with shoelaces or the knots on a sailboat.

But knots don't have to be made of string, the researchers explained in an accompanying statement. Instead, a knot is a mathematical term for any shape in space that loops around itself in particular ways. And by exploiting the complex shapes light waves form as they vibrate in two directions (up and down, and side to side) along their paths, and the ways those waves interact with one another, they were able to cause electromagnetic light fields to knot in the air. [The 11 Most Beautiful Mathematical Equations]

The knots in question, the researchers wrote in their paper, were visible enough in images of the light wave data for them to identify the figure eights and toruses. They also confirmed their findings using formal knot theory mathematics.

To create the knots, the researchers carefully tuned the up-and-down and side-to-side wave motion (the polarization) of two beams of light, partly using technology not unlike that found in polarized sunglasses. The knots formed around "polarization singularities" where the beams intersected, places where the side-to-side and up-and-down wavelengths were exactly equal, and a number of other wavelengths of light looped around them. At those points, light bent in the way the researchers wanted.

"We are all familiar with tying knots in tangible substances such as shoelaces or ribbon," Mark Dennis, a University of Bristol physicist and author on the paper, said in the statement. "With light, however, things get a little more complex. It isn't just a single thread-like beam being knotted, but the whole of the space or 'field' in which it moves."

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#1

Re: Physicists Tied Laser Beams into Knots

08/07/2018 3:12 PM

Well we've known that light can be curved with magnets...I guess this is the next logical step...but where it's headed who can say....?

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#3
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Re: Physicists Tied Laser Beams into Knots

08/07/2018 4:20 PM

The laser work is an interesting use of the coherence of laser light and interferometry. Photons are not affected by magnetic fields. Now if you are considering the idea of separating the virtual particle anti-particle pairs with a magnetic field, then you get complimentary particles produced and not the photons. A deep gravity well can appear to bend light but it is actually bending the space the light travels.

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#16
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Re: Physicists Tied Laser Beams into Knots

08/10/2018 11:19 AM

You're correct. The only way magnetism can affect light is if matter is present and acts as an intermediary, i.e., magnetism affects matter which then affects light passing through. An example would be the Faraday effect where a magnetic field rotates the polarization of light traveling parallel to the field direction through a suitable substance.

https://youtu.be/XhU-nNiAgtI

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#17
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Re: Physicists Tied Laser Beams into Knots

08/10/2018 11:42 AM

For a moment I thought you were going to discuss the Joshua Light Show and the other liquid light shows of the psychedelic era.

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#7
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 8:38 AM

I had to reread the actual published paper but I now realize these knotted patterns exist inside the laser beam. Just as a laser beam can have polarization, it seems if you tune the phase and intensity of the beam you can get these knot patterns in it. I'm not going to even pretend I understand the mechanism that causes the knotting. It seems like it's something akin to, but more complicated than, self-interference.

Apparently, they used special holographic optics to produce a particular intensity and phase profile in the laser beam which then, through whatever mechanism it is, produced the knot patterns in the beam at some distance. I got that from this part of the paper:

The core of our method to generate optical polarization knots relies on the above superposition principles and the use of holographic beam-shaping methods that allow precise control over a beam’s intensity and phase profile

What it comes down to is some really smart theorists figured out how you could do this and some really smart experimentalists figured out how to make it happen in the real world. Just some good old fashioned science above my pay grade.

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#8
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 8:46 AM

I wonder if this technique could be used for embedded message encryption in an optical light pipe or fiber communication stream?

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#13
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 1:26 PM

That sounds like a potential application. I was wondering if it would be useful in lithography. Should be some kind of cool application for this.

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#10
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 9:56 AM

It all seems to be tied to different intensities and concentrations within the beam cross-section....evidently light exhibits some unusual characteristics at higher intensities....

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#12
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 11:55 AM

''a'', ''b'' and ''d'' are different configurations of an endless-loop, while ''c'' appears to two separate (and linked?) loop-beams...

Could it be that ''c'' is similarly a figure-eight-shaped endless-loop too?...

(Why? / Why not?)...

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#2

Re: Physicists Tied Laser Beams into Knots

08/07/2018 4:20 PM

This sort of explains it, I think...

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#6
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 8:28 AM

That helps a bit. I was missing that all of this was occurring inside the beam. Clearly, it's more complicated than self-interference, which would be my simplified explanation, so I can't pretend I understand it. Really amazing stuff. I don't even know what it could be used for but it is a remarkable display of theory and experiment in agreement.

The core of our method to generate optical polarization knots relies on the above superposition principles and the use of holographic beam-shaping methods that allow precise control over a beam’s intensity and phase profile

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#14
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Re: Physicists Tied Laser Beams into Knots

08/08/2018 6:15 PM

I can't claim to understand it completely, either. I think you have to start with twisted light (which should not be confused with circular polarization), a solution to Maxwell's Equations where the electric and magnetic fields are not perpendicular to the direction of propagation, also called an optical vortex.

Different columns show the beam helical structures, phase fronts, and corresponding intensity distributions.

https://en.wikipedia.org/wiki/Orbital_angular_momentum_of_light

Twisted light can be produced using special diffraction gratings with bifurcations, and the dark spot in the middle is the vortex where the light phase vanishes.

This actually occurs naturally if you expand a laser beam and project it on a wall. The dark speckles are actually optical vortices, and as they move around, you are actually seeing a cross-section of optical knots.

https://www.youtube.com/watch?v=2hdKXMRKSY8

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#15
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Re: Physicists Tied Laser Beams into Knots

08/09/2018 8:55 AM

That was a great video, thanks. I do feel like I have a better understanding now. I was aware of the orbital angular momentum of light but I never had it explained so intuitively. Pretty cool!

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#4

Re: Physicists Tied Laser Beams into Knots

08/07/2018 7:04 PM

Can you say LightSaber?

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#5

Re: Physicists Tied Laser Beams into Knots

08/07/2018 7:29 PM

But a REAL saber stays lethal while a light saber turns into a flashlight as its batteries deplete.

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#9

Re: Physicists Tied Laser Beams into Knots

08/08/2018 8:49 AM

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#11

Re: Physicists Tied Laser Beams into Knots

08/08/2018 10:52 AM

Hey the guys making those fiber optic ties have already done this...

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