Why does the phase of the reflected wave from a denser medium change?

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SUMMARY

The phase of a reflected wave changes by 180° when it reflects off a medium with a higher refractive index, such as light reflecting from air to glass. This phenomenon is governed by the principles of wave reflection and transmission at material boundaries. When a wave encounters a boundary, the change in impedance between the two media determines whether the reflected wave undergoes a phase change. Specifically, if the wave travels from a less dense medium to a denser one, it experiences a phase inversion, while the opposite does not induce a phase change.

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  • Understanding of wave equations and their applications
  • Familiarity with the concept of refractive index
  • Knowledge of impedance in wave mechanics
  • Basic principles of optics and wave reflection
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  • Study the wave equation in detail, focusing on reflection and transmission at boundaries
  • Explore the concept of refractive index and its impact on wave behavior
  • Investigate the relationship between impedance and wave amplitude
  • Review the principles of optics, particularly regarding phase changes in light waves
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Students of physics, optical engineers, and anyone interested in understanding wave behavior at material boundaries will benefit from this discussion.

Malvina
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TL;DR
Why does the phase of the reflected wave from a denser medium change?
Why does the phase of the reflected wave from a denser medium change?
 
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Welcome to PF.

Can you show us your reading where you have seen this? Do you have experience working with the wave equation and the equations for reflection and transmission at the boundary between two media?
 
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https://en.m.wikipedia.org/wiki/Reflection_phase_change

berkeman said:
Welcome to PF.

Can you show us your reading where you have seen this? Do you have experience working with the wave equation and the equations for reflection and transmission at the boundary between two media?

https://en.m.wikipedia.org/wiki/Reflection_phase_change

Optics​

"Light waves change phase by 180° when they reflect from the surface of a medium with higher refractive index than that of the medium in which they are travelling.[1] A light wave travelling in air that is reflected by a glass barrier will undergo a 180° phase change, while light travelling in glass will not undergo a phase change if it is reflected by a boundary with air. For this reason, optical boundaries are normally specified as an ordered pair (air-glass, glass-air); indicating which material the light is moving out of, and in to, respectively"

but I can't understand why this is happening
 
Malvina said:
https://en.m.wikipedia.org/wiki/Reflection_phase_change


https://en.m.wikipedia.org/wiki/Reflection_phase_change

Optics​

"Light waves change phase by 180° when they reflect from the surface of a medium with higher refractive index than that of the medium in which they are travelling.[1] A light wave travelling in air that is reflected by a glass barrier will undergo a 180° phase change, while light travelling in glass will not undergo a phase change if it is reflected by a boundary with air. For this reason, optical boundaries are normally specified as an ordered pair (air-glass, glass-air); indicating which material the light is moving out of, and in to, respectively"

but I can't understand why this is happening
Do you understand it for strings?
https://en.wikipedia.org/wiki/Reflection_phase_change#Strings

 
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I think I'm starting to understand. Thank you for helping me!
 
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Malvina said:
I think I'm starting to understand.
One way of looking at this involves continuity of quantities on either side of a boundary. In all waves, there are always two quantities that vary along the wave. Sound is a convenient wave to consider; the quantities wil be pressure and displacement. If the changing characteristics ('impedance') of the two materials across the boundary causes a reduction in amplitude (displacement) then the reflected wave will be negative such that the resulting amplitude of the emerging wave is less and there will be continuity at the boundary. If the impedance change is the other way round then the emerging wave will have greater amplitude so incident and reflected waves will add in phase. Note, this doesn't mean that there is an increase in energy flow across the boundary because the power flow is related to pressure and displacement. There has to be continuity; if there weren't continuity then there would be a step change at the boundary and where would that come from??
 
Malvina said:
but I can't understand why this is happening
When you look in a mirror, why is your image reversed, with a LH helix becoming a RH helix ?
 
Baluncore said:
When you look in a mirror, why is your image reversed, with a LH helix becoming a RH helix ?
That is a matter of geometry and would apply to reflections from air into glass and glass into air. The phase change is a different issue.
 

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