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:

$L(E)=10{\log }_{10}\left(\frac{E_1}{E_0}\right)\mathrm{d}\mathrm{B}$

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

$E_0=10^{-12}\frac{J}{m^3}$