Light travelling on curved surface

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SUMMARY

The discussion centers on the phenomenon of light traveling along a curved surface, specifically in the context of Total Internal Reflection (TIR) within a plastic rod. Participants clarify that light travels in straight lines but can be ducted along curves through multiple reflections against internal surfaces. The angle of incidence must exceed the critical angle for TIR to occur, and the shape of the material, such as a D-shaped block, plays a crucial role in facilitating this effect. Misunderstandings about the nature of the curved channel and the angles involved are addressed, emphasizing the importance of precise angles for successful light reflection.

PREREQUISITES
  • Understanding of Total Internal Reflection (TIR)
  • Knowledge of angles of incidence and critical angle
  • Familiarity with light propagation and reflection principles
  • Basic concepts of optics and light behavior in different media
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  • Study the critical angle and its implications in light behavior
  • Explore the effects of different geometries on light propagation
  • Learn about the design and analysis of optical devices utilizing TIR
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SataSata
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Can anybody explain under what conditions does this happens?
Why does the light beam travel on the curved surface? How does this happen? Isn't light suppose to travel in straight line?
 

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Why do you think the light beam is traveling on the curved surface? If you drilled a tiny hole in the top of the plastic, what would you see?
 
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Light travels in a straight line in space. In your picture, the light is being ducted along the curved channel in a series of short straight lines between reflections against the walls. The phenomenon is probably Total Internal Reflection, if it is traveling through a plastic rod.
 
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Vanadium 50 said:
Why do you think the light beam is traveling on the curved surface? If you drilled a tiny hole in the top of the plastic, what would you see?
I don't understand what I would see. Can you elaborate?
sophiecentaur said:
Light travels in a straight line in space. In your picture, the light is being ducted along the curved channel in a series of short straight lines between reflections against the walls. The phenomenon is probably Total Internal Reflection, if it is traveling through a plastic rod.
I'm not sure how there's a curved channel in this. I got the picture from this video:
It happens around 2.55 mins and only for a short window of angle of incidence.
 
That's a better picture. It was not clear what the original picture was showing. It isn't a curved channel - it's just the inside of the D shape.
Do you know about Total Internal Reflection? You can see many pictures of it happening just once as it strikes the internal surface of glass / water / plastic etc. For it to happen, the angle of incidence must be greater than the Critical angle. In your first picture. the light is being reflected internally many times by the internal curved surface. The picture is too blurry to see that happening but you could draw the effect if you draw a circular arc and draw a line, striking it very obliquely (inside the curve) the ray will be reflected and hit the circle again and again (following the i = r rule at each contact) If the ray hits the curve too steeply, it will just escape and if it enters the D too shallow, it will not make it to the curved surface.
 
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sophiecentaur said:
In your first picture. the light is being reflected internally many times by the internal curved surface. The picture is too blurry to see that happening but you could draw the effect if you draw a circular arc and draw a line, striking it very obliquely (inside the curve) the ray will be reflected and hit the circle again and again (following the i = r rule at each contact) If the ray hits the curve too steeply, it will just escape and if it enters the D too shallow, it will not make it to the curved surface.
I still don't understand how total internal reflection on the curve could have happen at that angle. Look at my attached drawings. I can understand total internal reflection happening for the left drawing. But in the video, the beam came in from a different side which is shown in my drawing on the right. I couldn't come up with any way total internal reflection can happen on the D shape side.
 

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I don't think it's total internal reflection. That requires a duct and small angles. To me it just looks like some minor scattering inside a not perfectly clear prism.
 
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SataSata said:
I still don't understand how total internal reflection on the curve could have happen at that angle.
It is possible to launch a ray that will pass along the circular block as long as the angle is right. (As a series of cords to the curve). I think there must be a curved section at the transition between flat and semicircular sides (the corner`) that causes light to be refracted at the correct angle. This will be restricted to only a small range of incident angles. It would be easier to explain with a different shaped block - one with a flat side which is almost at right angles to the present flat edge.
russ_watters said:
I don't think it's total internal reflection. That requires a duct and small angles.
If you can launch the ray at the correct angle, you can do it with reflections on just one concave internal surface. You can draw a diagram yourself to show it happening. Imo, the D block has some pretty subtle shaping of the corners that allow it to happen.
 
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sophiecentaur said:
I think there must be a curved section at the transition between flat and semicircular sides (the corner`) that causes light to be refracted at the correct angle.
Yes I think it's possible depending on how the corner of the D block is shaped. It won't work if the corner is a perfect right angle which is unlikely. It probably has a little curvature at the corner.
 

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sophiecentaur said:
If you can launch the ray at the correct angle, you can do it with reflections on just one concave internal surface. You can draw a diagram yourself to show it happening. Imo, the D block has some pretty subtle shaping of the corners that allow it to happen.
Isn't "the correct angle" small? The angle just in from the corner is almost 90 degrees!
 
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russ_watters said:
Isn't "the correct angle" small? The angle just in from the corner is almost 90 degrees!
Yes, that would produce the effect but the incidence would have to be almost normal to the flat side. The picture in the OP shows the light coming in, apparently nearly parallel to the flat side. It's a bit confusing.
 

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