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Inverse Square Law for Acoustics

The intensity of a sound is proportional to the square of its sound pressure $ p$.

Therefore, the average intensity at distance $ r_{12}$ away from a point source of average-intensity $ I_1\propto<\left\vert p_1\right\vert^2>$ is given by

$\displaystyle I(\mathbf{x}_2) = \frac{I_1}{r_{12}^2}

This is a so-called inverse square law.

Remember that far away from a finite sound source,

where $ r$ is the distance from the source.

Point-to-Point Spherical Pressure-Wave Simulation:

\input fig/sphericalwavesimulator.pstex_t
\\ {\LARGE }

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Download Delay.pdf
Download Delay_2up.pdf
Download Delay_4up.pdf

``Computational Acoustic Modeling with Digital Delay'', by Julius O. Smith III and Nelson Lee,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2008-06-05 under the Creative Commons License (Attribution 2.5), by Julius O. Smith III and Nelson Lee
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University