Proof of Phase Change: How Can We Prove It?

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Discussion Overview

The discussion revolves around the proof of phase change when transitioning from a denser medium (spring) to a less dense one, particularly in the context of wave behavior and speed in different materials. The scope includes theoretical aspects of wave mechanics and potential applications in acoustics and vibration transmission.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant asks how to prove the phase change from a denser spring to a less dense one.
  • Another participant seeks clarification on whether the question relates to a simple harmonic oscillator.
  • A participant references a specific resource and questions how wave speeds compare between two strings of different densities.
  • There is a suggestion that the discussion may relate to seismic reflections, though another participant disputes this connection.
  • One participant proposes using expressions for waves at the interface and applying boundary conditions to find relationships between phases.
  • A later reply questions whether momentum could be used to prove the phase change, expressing a desire for proofs that are not readily available in textbooks.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are competing views on the relevance of seismic reflections and the methods for proving phase changes.

Contextual Notes

Limitations include the lack of specific mathematical proofs and references in the discussion, as well as varying interpretations of the initial question regarding phase changes.

Who May Find This Useful

Readers interested in wave mechanics, acoustics, and the mathematical foundations of phase changes in different media may find this discussion relevant.

l3010o
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how can we proof the phase change from denser spring to a less dense one?
 
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Do you mean 'prove' ? Please explain the problem more. Is this in relation to a simple harmonic oscillator ?
 
i mean how to prove these?
http://www.kettering.edu/~drussell/Demos/reflect/reflect.html
 
Last edited by a moderator:
Do you mean phase changes in the Earth which cause seismic reflections?
 
i think that's not related to the seismic reflection.

I want to know if there is any proofs of

"how do the wave speeds compare for the two strings?
From high speed to low speed (low density to high density)"
located at
http://www.kettering.edu/~drussell/Demos/reflect/reflect.html
 
Last edited by a moderator:
You write expressions for the waves at the interface (incident, reflected and transmitted) with unknown phases, and use the boundary conditions to find the relation between the different phases.

I don't have a reference off hand, but most textbooks on acoustics, vibration transmission, etc. should work through details of the maths.
 
can it be proved by momentum?
i can find them in the textbooks, but without the proofs
 

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