Half-integer

The sound energy density level gives the ratio of a sound incidence as a sound energy value in comparison to a reference level of 0 dB (DIN 45630). It is a logarithmic measure of the ratio of two sound energy densities.

Definition

The sound energy density level L_E is:

$L(E)=10\,\log _{10}\left({\frac {E_{1}}{E_{0}}}\right){\rm {dB}}$

where E₁ and E₀ are the energy densities. The unit of the sound energy density level is the decibel (dB).

If E₀ is the standard reference sound energy density of

$E_{0}=10^{-12}\mathrm {\frac {J}{m^{3}}}$