Help with understanding the Doppler effect

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SUMMARY

The discussion centers on the Doppler effect, first described by Christian Andreas Doppler in 1842, which explains how the properties of waves change due to the relative motion between the observer and the source. The conversation includes a simplified model of wave propagation using the equation $$A(t) = |A_{max}| \sin(t)$$ and explores the implications of moving sources and observers on wavelength and frequency. Key insights include the distinction between stationary and moving sources, and how these affect the perceived frequency and wavelength of waves.

PREREQUISITES
  • Understanding of wave properties and equations, specifically $$A(t) = |A_{max}| \sin(t)$$
  • Familiarity with the concepts of frequency, wavelength, and wave speed
  • Basic knowledge of reference frames in physics
  • Awareness of the historical context of the Doppler effect
NEXT STEPS
  • Study the mathematical derivation of the Doppler effect for both sound and light waves
  • Learn about the implications of the Doppler effect in astrophysics, particularly in redshift and blueshift
  • Explore the differences between classical and relativistic Doppler effects
  • Investigate practical applications of the Doppler effect in technology, such as radar and medical imaging
USEFUL FOR

Students of physics, educators teaching wave mechanics, and professionals in fields such as acoustics, astronomy, and engineering who seek to understand wave behavior in moving media.

  • #61
Ibix said:
I get the impression you are trying to imply that I'm stupid for not following your argument. Am I correct?
You are again incorrect, I am saying we have reach the crucial point the investigation of which will decide who is more close to reality!
Ibix said:
No it is not. It's an extended period of time.

...and it happens the same whether you regard the source as moving with respect to the medium or the medium with respect to the source. Proof:

Let the source emit waves of period T and speed c. The medium is stationary and the source moves in the same direction as the waves at speed v. When the second wave crest is emitted, the first wave crest has traveled ##cT## and the source has moved ##vT##. Thus the wavelength is ##(c-v)T##.

Now again, but this time we regard the source as stationary and the medium as moving at speed ##-v## (i.e., we've subtracted ##v## from the speed of both medium and source). When the second wave crest is emitted, the first has traveled ##(c-v)T## and the source has not moved. Thus the wavelength is ##(c-v)T##.

No difference.
I will better make a picture, one moment. Just go to the outside of the house for a sec...
 
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  • #62
frostysh said:
I will better make a picture
It will not make a difference. An honest picture must obey the maths I just laid out.
 
  • #63
Ibix said:
It will not make a difference.
Well actually you are saying truth about the similarity of the cases! Wery many thanks! You the first which helped to understand, on other forum me get topic deleted! The was my mistake... Very good, know I can continue the studies. This forum is indeed useful!

Again many-many thanks!
 
  • #64
Dale said:
Best not since he is generally right.

By the way, I am not sure if you missed this post of mine above:
The classical mechanics is good description of realitity too, and there is no reason to give any connections to the non-classical theories, it's just specualtions and play with words. Anyway I have understand my mistake, which was obvious but I have created a new physics on it... :)) Anyway it have NO any conection to the Lorentz's transformation. Well, it's not a point, the point is thanks you for your time, this forum is indeed good in terms of users trying to help by topic at least!
 
  • #65
My last formal education was in the early 1970's, but I always kept current and could consider my speculations valid. So I thought.
I joined Physics Forums with a very important view and got swatted immediately.
A bit upset, I decided to take it, study up a bit, the devastate the narrow minded.

It turned out I could not afford to return to school full time for the years it would take to actually replace my aged and misguided past with the reality of what has been learned since.
Human nature has me holding on to my speculations, but, like Einstein in his later years, I have to just plain ignore many newer and proven observations. So be it.

I empathize with frostysh and am curious if the last of his formal education was anywhere near the same time period as mine.
 

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