Modeling the Collision of Acoustic Waves

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Discussion Overview

The discussion revolves around the modeling of acoustic waves, specifically focusing on the interaction of two waves of different frequencies and the potential effects of their superposition. Participants explore concepts related to acoustic radiation, cavitation, and sonar, while seeking mathematical models or descriptions of these phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses interest in the effects of colliding acoustic waves and seeks terminology and resources for research.
  • Another participant clarifies that acoustic waves do not collide but superpose, suggesting a need for a more precise understanding of the terms used.
  • A participant acknowledges the terminology issue and seeks information on whether there is a mathematical model describing the superposition of different frequency waves and any residual effects that may arise.
  • One participant argues that no additional effects would occur beyond superposition unless the amplitudes of the waves are extremely large, which could complicate the mathematical modeling.

Areas of Agreement / Disagreement

Participants generally agree on the concept of superposition of acoustic waves, but there is no consensus on the existence of any additional effects or mathematical models related to the interaction of waves of differing frequencies.

Contextual Notes

Participants note the potential complexity of mathematical models when dealing with high amplitude waves, indicating that the discussion may be limited by the assumptions regarding wave amplitudes and the definitions of terms used.

Liquid7800
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Hello all,

Ive never really worked with Acoustics before but have been looking into acoustic raditation, effects in cavitation, acoustic fields, sonar, etc. However, it has been pretty difficult to find any information on equations or modeling of the collision of the acoustic waves.

The example problem I am looking at is:
what would happen if two frequency waves (maybe two high frequency...or two low frequency...or one of each) collided or interrputed each others acoustic field? Like an emitter colliding with an echolocation type chirp.

I'd appreciate any terminology or links to help with this research...or anything else.

Thanks!
 
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To first order, acoustic waves don't 'collide' per se, they superpose--thats how you hear numerous sounds simultaneously.
Is there a particular direction you're going with this research, or just general knowledge?
 
Thanks for the reply...I knew I was either using the wrong term or there was another definition more appropriate to describe the 'collision' or 'union' of acoustic wave types or frequencies (superpose).

As for your question, yes I am trying to specifically find information if there is a description or mathematical model of, when say two types of acoustic waves of varying frequency (ultra sound vs infrasound) collide (superpose) and is there any 'residue' (acoustic radiation?) of say the residual effect of the 'acoustic collision' of even varying frequencies, or if this is even possible, because the frequencies differ?

Hope I give you a little more insight to my research direction.
 
I don't think anything additional would happen. The two waves would just pass over one another, adding together while they overlap. Higher order effects would become important if the amplitude of the waves was extremely large--but in that regime, mathematical models would be really ugly--and well outside of my range.
 

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