# Acoustic piston

This images present the pressure field of a radiating acoustic piston, i.e. a radiating surface. The radiation of the source depends on the surface radius \((a)\) and the angular frequency \((w)\) of the emitted wave. Thus, the pressure \(p\) in the far field can be estimated by the following formula:

\[{ p (r, \theta ) } = { j \omega \rho_0 a^2 v_n { J_1 (k a \sin \theta) \over k a \sin \theta } { e^{ j k r } \over r } }\]where \( \omega\) is the angular frequency, \(J_1\) is the first order Bessel function

## 3D acoustic volume rendering for acoustic plane source

Acoustic field for \(\kappa a = 1\) and \(\kappa a = 5\)

Acoustic field for \(\kappa a = 10\) and \(\kappa a = 15\)