Why does light bend,not just slow down?

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SUMMARY

The discussion centers on the phenomenon of light refraction, specifically why light bends when transitioning between media of different optical densities, such as air and water. It is established that light does not merely slow down but changes direction due to the principles outlined in Fermat's Principle, which posits that light travels the path of least time. The conversation highlights the importance of understanding wavefronts and their behavior in different media, referencing the Huygens construction to explain the bending of light.

PREREQUISITES
  • Understanding of Fermat's Principle
  • Basic knowledge of wavefronts and wave propagation
  • Familiarity with the Huygens-Fresnel principle
  • Concept of optical density in different media
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  • Research the Huygens-Fresnel principle in detail
  • Explore the mathematical derivation of Snell's Law
  • Study wavefront diagrams and their implications in optics
  • Investigate practical applications of light refraction in various fields
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Students of physics, optical engineers, and anyone interested in understanding the principles of light behavior in different media.

jadelamlam
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When a light beam passes from an optically denser medium to an optically less dense medium(and vice versa),the direction and the speed of light changes.
My question is why light must bend when it goes from one medium to another.
Say,it goes from air to water. Water is optically denser than air, which means the speed of light in air is higher than the speed of light in water.Why doesn't the light just slow down in water, why does it have to bend in the process?
 
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If you search google images for "refraction" you will find diagrams explaining this.

500px-Refraction_-_Huygens-Fresnel_principle.svg.png


img_full_46721.gif
 
Is this phenomenon related to force/torque/direction of velocity?As force is required to change the direction of object.Seems that there isn't any "force" in this situation.
I just can't imagine why the difference in velocity will cause light rays to bend.
(I have not learned waves yet.I have learned heat,mechanics and light.)
 
The law of refraction can be derived from the Fermat's Principle/Principle of least time, which states that light follows the path of least time.
 
Wave moves into the direction that the wave fronts of the wave are facing.

And the wave fronts are mangled, when different parts of wave fronts have different velocities.

Here is a picture of three wave fronts: | | |
That wave moves either into this direction: --> , or into this direction: <--

Here is a better wave front picture:
http://gemologyproject.com/wiki/index.php?title=File:Wavefront2.png
 
Last edited:
A.T. said:
If you search google images for "refraction" you will find diagrams explaining this.

500px-Refraction_-_Huygens-Fresnel_principle.svg.png

[..]
One picture can say more than a thousand words. :smile:
Perhaps useful to add that it applies the Huygens construction:
https://en.wikipedia.org/wiki/Huygens–Fresnel_principle
When the OP understands how that works, then he can answer his own question. :smile:

Jadelamlam, you only need to understand that a wave propagates at constant speed (depending on the medium) in all directions, as you can see when you throw a stone in the water; and that a wave front (green straight lines in the drawing here above) can be thought of as the sum of many little waves (grey half circles).
Next, you have to take a pencil (not a pen, for surely you'll use your eraser!) and try for yourself.
 
Last edited:
jadelamlam said:
I just can't imagine why the difference in velocity will cause light rays to bend. (I have not learned waves yet.I have learned heat,mechanics and light.)
Okay, here a simple mechanical analogy, a rolling axle with two wheels represents the wavefront. The wheels have different rolling resistance on different surfaces:

WheelAxleWavefront002.gif


From:
http://www.fas.harvard.edu/~scidemos/LightOptics/WheelAxleWavefront/WheelAxleWavefront.html


refract.gif


From:
http://www.yorku.ca/eye/refract.htm
 
A.T. said:
Okay, here a simple mechanical analogy, a rolling axle with two wheels represents the wavefront. The wheels have different rolling resistance on different surfaces:
[..]
Yes, that's a good example if presented as an axle with two independently rolling wheels connected to it.
 

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