 Surface representation of an obstacle far-field pattern

ID: surface-representation-of-an-obstacle-far-field-pattern

For a scattered field satisfying

ψ_{s} = e^{ik r} f_{\infty} (r) / r + O (r^{- 2})

f_{\infty} (r) = - \frac{1}{4 π} \int_{\partial D} e^{- ik r \cdot r^{'}} [\partial_{n^{'}} ψ_{s} + ik (r \cdot n^{'}) ψ_{s}] d S^{'} .

The sign assumes the normal points out of the obstacle.

 New to topics? Read the docs here!