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Related Concept Videos

Interference and Superposition of Waves01:07

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
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Sound Waves: Interference00:53

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Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Selection rules for the nonlinear interaction of internal gravity waves.

Chung-Hsiang Jiang1, Philip S Marcus

  • 1Department of Mechanical Engineering, University of California, Berkeley, California 94720, USA.

Physical Review Letters
|April 28, 2009
PubMed
Summary
This summary is machine-generated.

Intersecting internal gravity waves generate new wave packets through nonlinear interactions. However, derived selection rules reveal that most predicted nonlinear beams are forbidden, simplifying wave patterns.

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Last Updated: Jun 23, 2026

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Area of Science:

  • Fluid dynamics
  • Wave physics

Background:

  • Nonlinear interactions between internal gravity waves can generate new wave packets.
  • These interactions theoretically produce wave packets forming an "X" or "St. Andrew's cross" pattern.

Purpose of the Study:

  • To derive selection rules governing the nonlinear interaction of internal gravity waves.
  • To determine which predicted nonlinear beams are physically allowed.

Main Methods:

  • Theoretical derivation of selection rules for nonlinear wave interactions.
  • Analysis of wave packet formation from intersecting internal gravity wave beams.

Main Results:

  • Two new wave packets are formed with summed and differenced frequencies.
  • Most theoretically predicted nonlinear beams are forbidden by derived selection rules.
  • The selection rules also apply to the reflection of internal gravity waves from boundaries.

Conclusions:

  • Nonlinear interactions of internal gravity waves are more constrained than previously thought.
  • The derived selection rules simplify the understanding of wave patterns in stratified fluids.
  • These rules have implications for wave reflection phenomena.