Scattering of elastic P and SV waves by a rigid elliptic cylindrical inclusion

The 2-dimensional problem of scattering of obliquely incident $\text{P}$ and SV waves by an infinite rigid elliptic cylinder embedded in an infinite, isotropic and homogeneous elastic medium is solved. Approximate formulas are derived for the displacement field, stress tensor, far-field amplitudes and the scattering cross section when the wave lengths are large compared to the distance between the two focii of the elliptic cylinder.