Far-field P and S radiation from a point force ($A_P=n\cdot d,{\mathbf{A}}_S=(I-n{n}^{\mathsf{T}})d$)

In a homogeneous isotropic solid, the far-field P wave is the radial projection of the force and the S wave is its transverse projection. For a unit force axis $d$, the magnitudes are $|\cos \theta |$ and $\sin \theta$. The approximation requires distance large compared with both reduced wavelengths; angular nodes can still be controlled by a smaller near-field contribution.