Scalar diffraction by an elliptic cylinder

A recent method of the authors is applied to the case of scalar scattering by a perfectly reflecting elliptic cylinder illuminated by waves from a line source parallel to the axis of the cylinder. The surface distribution in the shadow zone is calculated and the "creeping wave" representation for the scattered field in the shadow zone is derived. It is shown that the results are applicable if and only if
R_{0\omega}\\gg 1
, where
R_{0}
is the smallest radius of curvature on the cylinder and
\omega
is the wave number.