The role of lateral compressive force and the density ratio on the scattering process, ice deflection, and interface elevation are shown graphically. The scattering matrix is generated to describe all the possible transmitted and incident wave modes. The reflection and transmission coefficients are generalized in the case of multiple propagating wave modes, and the associated energy balance relation is derived using Green's integral theorem.

The solution process involves the appropriate transition of wave modes within the blocking frequencies, which is obtained with the help of the dispersion curve.

The Sommerfeld radiation condition depends on multiple propagating wave modes within the blocking frequency and contributes to wave energy propagation. The wave dispersion curve reveals the existence of multiple propagating wave modes within the blocking frequencies, either in the surface or interface mode. The influence of wave blocking on the scattering of a flexural-gravity wave by a linear crack in a thin ice cover resting over a two-layer ocean having a rigid flat seafloor is investigated.

Waves complete crack