# 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 $$\kappa a = 15$$

## Piston for $$\kappa a = 15$$

More simulations...