Longitudal waves - sound waves

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SUMMARY

The discussion centers on the mathematical definition of longitudinal waves, specifically in a three-dimensional context. Participants clarify that longitudinal waves have a wavevector that indicates both wavelength and direction of propagation. It is established that while the wavevector varies with position for a point source, its magnitude remains constant as long as the wavelength is unchanged. The conversation emphasizes the distinction between wavenumber and wavevector in multidimensional scenarios.

PREREQUISITES
  • Understanding of wave mechanics and wave properties
  • Familiarity with wavevector and its significance in physics
  • Knowledge of three-dimensional coordinate systems
  • Basic mathematical skills for interpreting wave equations
NEXT STEPS
  • Research the mathematical definition of longitudinal waves in three dimensions
  • Study the concept of wavevector and its applications in wave propagation
  • Explore the relationship between wavelength, frequency, and wavevector
  • Investigate the behavior of point sources in wave mechanics
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Students and professionals in physics, particularly those studying wave mechanics, acoustics, and related fields. This discussion is beneficial for anyone looking to deepen their understanding of wave behavior in three-dimensional spaces.

bubuta
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Hi.
I am looking for correct mathematical definition of longitudal wave I am 3-D
if somebody will help me with some link or explanation it will be great.
Another thing: when I have a point source of waves i see that wavenumber changes from one point to point, is it wright?
thanx
 
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Longitudinal means that the wave number is parallel to the displacement.

Also, please elaborate on what you mean when you say you see the wavenumber changes from point to point with a point source.
 
The wavenumber is a term generally only used in 1 dimension. In general, we use a wave[/I]vector to specify, not just the wavelength of the wave, but also the direction of propagation.

Since, for a point source, the direction of propagation varies with position, the wavevector must too, vary with position. The magnitude of the wavevector however does not vary so long as the wavelength of the source remains constant.

Claude.
 

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