Proof of Phase Change: How Can We Prove It?

AI Thread Summary
The discussion centers on proving the phase change from a denser spring to a less dense one, with inquiries about the relationship to simple harmonic oscillators. Participants seek clarity on the specific problem and its connection to seismic reflections, suggesting a potential misunderstanding of the topic. There is a focus on comparing wave speeds between two strings of differing densities and how to express the waves at their interface. The conversation highlights the need for mathematical proof using boundary conditions and references to acoustics and vibration textbooks for further details. Overall, the participants are looking for a deeper understanding of the phase change and its implications in wave mechanics.
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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
 
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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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