Sound level in decibels

The sound level of a sound wave is a physical quantity that is used to describe the wave’s intensity.

Links:

  1. Wikipedia, similar formula.

sound_level

sound_intensity_level of the sound wave.

Symbol:

L_I

Latex:

\(L_{I}\)

Dimension:

dimensionless

intensity

intensity of the sound wave.

Symbol:

I

Latex:

\(I\)

Dimension:

power/area

reference_sound_level

The sound level when the wave’s intensity equals the reference intensity.

Symbol:

L_I0

Latex:

\(L_{I0}\)

Dimension:

dimensionless

reference_intensity

The intensity of a sound wave relative to which the sound level is measured.

Symbol:

I_0

Latex:

\(I_0\)

Dimension:

power/length**2

definition

L_I = L_I0 * log(I / I_0, 10)

Latex:
\[L_{I} = L_{I0} \log_{10} \left( \frac{I}{I_0} \right)\]