[LAD] Audio Levitation
Charles Z Henry
czhenry at gmail.com
Fri Jan 3 22:03:20 UTC 2014
On Fri, Jan 3, 2014 at 10:00 AM, Fons Adriaensen <fons at linuxaudio.org>wrote:
> On Fri, Jan 03, 2014 at 11:03:59PM +1100, Patrick Shirkey wrote:
> > Theoretically, how big can this scale?
> > http://www.youtube.com/watch?feature=player_embedded&v=odJxJRAxdFU
> Not so much before it becomes really dangerous and unpractical.
> What supports those objects is the pressure differences generated
> by the standing waves. Now 120 dB SPL is 20 Pa, or 2 kg / m^2, or
> 2 milligrams per square millimeter. Which suggests they are already
> using more than 120 dB SPL.
These are nice back-of-the-envelope calculations, but I think there's a
little more explanation needed (not sure, but bear with me).
Why do we see this technique applied with high frequencies? At the node
locations, there is the highest peak spatial derivative of the pressure
while at the same time, the volume velocity of air goes to 0.
Vice-versa at the anti-nodes.
It may not require so much power as the frequency becomes very high
(although the physical scale between nodes also diminishes making it
impractical for "large" objects), if the variable of interest is not the
pressure difference itself, but the magnitude of its spatial derivative.
Other thoughts: the apparent acoustic power only needs to be large in the
region of standing waves. You may not be exposed to dangerous SPL's when
you get far enough away from the focus.
I have been contemplating some designs on acoustic levitation, but I
haven't risen to the task of figuring how much power is involved. This
discussion is helpful to me (and fun!)
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