I have measurements of the sound intensity produced by a sound source for a given frequency (*). These measurements were taken on on a grid on an imaginary sphere around the source. From these measurements it is clear that the sound intensity is not equal in all directions.

The measurements are calibrated in [tex]DB_{SPL}[/tex].

The problem: how can I get an estimate of the total energy dissipated by the source?

What I did so far is:

-for each point I calculate the area of the sphere that is covered by the point.

-I convert the DB values into intensity values: [tex]I = 10^{DB/10}[/tex].

-multiplying the Intensities in each point with the area of covered by the point

-summing all these numbers.

-to get an absolute intensity value, I multiply this number with 10^-12 (the sound pressure level base for calculating Db values).

-This number should give the number of WATTS. This should be multiplied with the duration the sound source is on.

The questions:

-So, is this correct?

-Is there a quick way to calculate the energy dissipated for example using a simple model for a source?

Regards,

Dieter

(*) The source produces more than 1 frequency of course. But let's start off easy.