How do standing waves and resonance relate in a speaker?

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SUMMARY

The discussion centers on the relationship between standing waves and resonance in speakers. Standing waves occur when two waves of equal amplitude and frequency superimpose, while resonance happens when the driving frequency matches the system frequency. It is established that resonance does not always require standing waves, as energy can be continuously added to a system without forming a resonant cavity. The conversation also highlights the importance of wavefront shapes and the Q factor in achieving effective resonance and standing wave patterns in speaker systems.

PREREQUISITES
  • Understanding of wave mechanics, specifically standing waves and resonance.
  • Familiarity with the concept of wavefronts and their shapes (spherical vs. plane).
  • Knowledge of the Q factor and its significance in resonance systems.
  • Basic principles of sound wave propagation and reflection in different media.
NEXT STEPS
  • Research "Q factor in acoustic systems" to understand energy loss and resonance quality.
  • Explore "standing wave patterns in rectangular cavities" for practical applications in speaker design.
  • Investigate "methods to convert spherical waves to plane waves" for improved sound projection.
  • Study "the effects of boundary conditions on wave behavior" in acoustics to enhance understanding of resonance.
USEFUL FOR

Acoustic engineers, audio enthusiasts, and anyone interested in optimizing speaker performance and understanding wave behavior in sound systems.

  • #31
SFB said:
Do you have any idea on how ka values can change the wavefront pattern in the near field. Going through the basics on radiation from vibrating sphere , it seemed to me that the wavefront pattern in the near field may turn into a plane wavefront depending on the ka limit and position of the reflector. Also I found a literature that mentioned that at high ka limit the node surfaces will tend toward planes in the near field.I am still looking into the literatures but I was wondering that you may also provide me some idea it.

I do not think that we can make any generalizations on how the near field will behave without taking into account the structure and geometry of your sources. At least in electromagnetics, the near field can vary greatly depending on the type of antenna that you have. Perhaps with acoustics the types of sources are more uniform and one can make more accurate generalizations but I wouldn't know.
 
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  • #32
Why wind instruments are asymmetric?Is this a condition to get a strong standing wave ?What about a flute? Is the cylindrical enclosure helping somehow to store more energy.Also , I would be interested to know about wave propagation characteristics in the near field (fresnel zone). As it seems to me from huoygens -fresnel principle that its the zone where constructive a/destructive interference occurs for the waves radiating from each point of the source. So should I consider fresnel zone as a region where the shape of the wavefront for the entire source is established and far field as the zone where this wavefront starts to radiate.What is the condition (not the mathematical formula that calculate the near field length) when the wavefront starts to diverge.

Also , I found a graph that shows that the pressure is not inversely related to distance in the near field. For a plane source , the pressure rather remains constant very near to the source.
 
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