Oblique interface-wave diffraction by a small bottom deformation in two superposed fluids (Q1912334)

Summary: The problem of diffraction of oblique interface waves by a small bottom deformation of the lower fluid in two superposed fluids has been investigated assuming linear theory and invoking a simplified perturbation analysis. First order corrections to the velocity potentials in the two fluids are obtained by using the Green's integral theorem. The transmission and reflection coefficients are evaluated approximately. These reduce to the known results for a single fluid in the absence of the upper fluid.