This monograph presents the mathematical description and numerical computation of the
high-frequency diffracted wave by an immersed elastic wave with normal incidence. The
mathematical analysis is based on the explicit description of the principal symbol of the
pseudo-differential operator connected with the coupled linear problem elasticity fluid by the
wedge interface. This description is subsequently used to derive an accurate numerical
computation of diffraction diagrams for different incoming waves in the fluid and for
different wedge angles. The method can be applied to any problem of coupled waves by a wedge
interface. This work is of interest for any researcher concerned with high frequency wave
scattering especially mathematicians acousticians engineers.