Diffraction of an arbitrary plane electromagnetic wave by a half-plane

The asymptotic form of the diffracted field produced by a plane electromagnetic wave of arbitrary polarization incident obliquely on a conducting half-plane is expressed very simply in terms of the incident and reflected waves
F_{1}
and
F_{2}
, respectively, rotated to bring their wave vectors
k_{1}
and
k_{2}
on
k
in the direction of observation. The diffraction coefficients become
\pm(\sin \psi_{i}/2)^{-1}
where
\psi_{i}
is the angle between
k_{i} (i = 1,2)
and the direction of observation
k
.