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Air Absorption

This section provides some further details regarding acoustic air absorption [326]. For a plane wave, the decline of acoustic intensity as a function of propagation distance $ x$ is given by

$\displaystyle I(x) = I_1 e^{-x/\xi},
$

where

\begin{eqnarray*}
I(x) &=& \hbox{intensity $x$\ meters from the source
(\sref {...
...n frequency, temperature, humidity}\\
& & \hbox{and pressure).}
\end{eqnarray*}

Tables F.1 and F.2 (adapted from [322]) give some typical values for air.


Table: Attenuation constant $ m = 1/\xi $ (in inverse meters) at 20tex2html_wrap_inline^&cir#circ; C and standard atmospheric pressure
Relative Frequency in Hz
Humidity 1000 2000 3000 4000
40 0.0013 0.0037 0.0069 0.0242
50 0.0013 0.0027 0.0060 0.0207
60 0.0013 0.0027 0.0055 0.0169
70 0.0013 0.0027 0.0050 0.0145



Table: Attenuation in dB per kilometer at 20tex2html_wrap_inline^&cir#circ;C and standard atmospheric pressure.
Relative Frequency in Hz
Humidity 1000 2000 3000 4000
40 5.6 16 30 105
50 5.6 12 26 90
60 5.6 12 24 73
70 5.6 12 22 63



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``Physical Audio Signal Processing'', by Julius O. Smith III, (August 2007 Edition).
Copyright © 2008-02-17 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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