kinetic energy/unit volume:
.
The potential energy in compressed gas is an average of 0, to first
order. To second order it is
. so the kinetic and potential energy
terms are the same.
Energy is propagated at the group velocity,
. Energy flux =
where
Z is the acoustic impedance.
microphones detect pressure variation rather than power variation.
The pressure fluctation is
where P is the power.
A decibal is
.