Focusing Sound Waves: Acoustic Lens & Loss of Energy

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Discussion Overview

The discussion revolves around the feasibility of focusing sound waves using an acoustic lens, particularly when the source and receiver are positioned on opposite sides of the lens. Participants explore the implications for sound energy loss and the principles governing acoustic lens design.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether sound waves can be focused behind an acoustic lens and if this would result in significant energy loss.
  • Another suggests that a megaphone demonstrates the principle of sound focusing, although it may not directly address the original question.
  • A link to an article about an acoustic lens generating focused sound is provided as an example of existing technology.
  • Some participants mention that certain ultrasound focused transducers utilize lenses to focus sound waves, indicating practical applications of the concept.
  • There is a discussion about the structural differences between optical and acoustic lenses, with references to how sound travels through different materials and the implications for focusing sound.
  • One participant proposes creating a concave lens from a lightweight foam to focus sound, emphasizing the importance of material impedance to avoid reflection losses.
  • Another participant raises questions about whether the focused waves would arrive in phase, assuming they were initially in phase before hitting the lens.
  • Concerns are expressed about the labor-intensive nature of designing a concave structure with varying tube lengths to achieve the desired focusing effect.

Areas of Agreement / Disagreement

The discussion includes multiple competing views regarding the effectiveness of different materials and designs for acoustic lenses, and there is no consensus on the best approach or the implications for sound energy loss.

Contextual Notes

Participants highlight various assumptions regarding the speed of sound in different media and the design challenges associated with creating effective acoustic lenses. There are also references to the need for empirical measurements and comparisons with existing designs.

ayushmorx
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Is there any way to focus a sound wave BEHIND an acoustic lens i.e. the source and receiver are on different sides of the lens? Will it result in a significant loss of sound energy?
 
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How about a megaphone? Probably not what you're looking for, but I think it at least proves the principle.
 
Some ultrasound focused transducers work like what you describe.
They have a lens to focus the ultrasound produced by a source attached to the back of the lens.
 
LURCH said:
How about a megaphone? Probably not what you're looking for, but I think it at least proves the principle.

A megaphone (horn) is more of an impedance matching device than an acoustic lens. Its diameter is too small to produce a particularly narrow beam.
 
An optical converging lens works by introducing long delays in the light path through the centre and short delays for the path through the edges. The result is that parallel 'rays' that arrive at all parts of the lens arrive 'in step' at a point (called the focus) near the lens. This is Fermat's Principle. (Look it up). Light travels slower in glass than in air so a converging lens has a thick middle and thin outer (convex)

With an acoustic lens, you have a choice of structure. Sound travels faster in solids than in air so you can use a very low density solid concave lens (less delay at the rim than at the centre will cause the sound to converge). Alternatively, you can use a honeycomb structure (like a handful of drinking straws) where the centre holes are long and the edge holes are short. Sound travels through the holes slower than in air so this involves a convex structure to get a converging effect.
Look at the Google Images for Acoustic Lens and you will see both types of structure in many different forms.
 
So basically if I make something which looks like an optical concave lens, but I make it out of a metal, I will solve my problem? Since sound travels faster in solids than in the fluid medium, it will focus the sound waves?(Assuming Fermat's principle holds for sound waves for relatively short distances)

Also, Will the waves being focused arrive in phase(assuming they were in phase from a single source before hitting the lens?)
 
ayushmorx said:
So basically if I make something which looks like an optical concave lens, but I make it out of a metal, I will solve my problem? Since sound travels faster in solids than in the fluid medium, it will focus the sound waves?(Assuming Fermat's principle holds for sound waves for relatively short distances)

Also, Will the waves being focused arrive in phase(assuming they were in phase from a single source before hitting the lens?)

Not a metal - a very light weight foam, which has been designed for the purpose. If you use metal, most of the sound energy will be reflected and not transmitted through; you need a material with a not too dissimilar impedance to that of the air.
Alternatively, a concave structure with tubes of varying lengths. You would need to find the speed of sound in a tube of that diameter and then work out the time differences to give waves in step from each tube to arrive at your chosen focus. A bit labour intensive and you would need to find out the details from other successful designs or else do a lot of measurements. If you have a good dual beam scope, you could probably find the speeds for various tubes by looking at phase shift. A bit lumpy but easier to achieve than having to find / select suitable foam material. (Low loss will be the problem, I think)
 

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