Light travelling on curved surface

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Discussion Overview

The discussion revolves around the behavior of light traveling on a curved surface, specifically in the context of total internal reflection and the conditions under which this occurs. Participants explore the implications of light's path in various geometrical configurations, including a D-shaped block, and question the nature of the reflections and refractions involved.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants question the conditions under which light appears to travel along a curved surface, noting that light typically travels in straight lines.
  • There is a suggestion that the light may be undergoing total internal reflection within a plastic medium, contingent on the angle of incidence being greater than the critical angle.
  • Others argue that the light's behavior may not be due to total internal reflection, proposing that it could be minor scattering within a prism instead.
  • Several participants discuss the geometry of the D-shaped block and suggest that the curvature at the transition between flat and semicircular sides may play a role in refracting light at the correct angle.
  • Some express uncertainty about how total internal reflection could occur at specific angles, particularly in relation to the provided visual evidence.
  • There is a debate about whether the angle required for total internal reflection is small, with some asserting that it must be nearly normal to the flat side for the effect to be observed.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the phenomenon is due to total internal reflection or scattering. Multiple competing views remain regarding the conditions necessary for light to travel along the curved surface.

Contextual Notes

Participants express uncertainty about the specific angles and geometrical configurations required for total internal reflection to occur, as well as the clarity of the visual evidence provided. The discussion highlights the complexity of light behavior in curved geometries.

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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