Effect of a Pressure Ridge on Ice-Coupled Gravity Waves

The boundary value problem associated with scattering of ice-coupled gravity waves by a thin vertical ice sheet in infinitely deep water is explicitly solved. The method of solution utilizes a connection that helps to decompose the problem into two relatively easy problems. The decomposed problems are explicitly solved by the aid of a weakly singular integral equation. Reflection coefficients are computed in both cases of ice sheet with and without compressive force in it. The model predicts a few resonant frequencies of ice-coupled waves at which complete reflection occurs. Further, scattering quantities are found to be sensitive to the ice sheet parameters.