In this paper, we use the extinction theorem to compute aTmatrix which characterizes a given rough interface between two media. In particular, we concentrate on multiple‐layered geometries. Thus we consider an elastic rough infinite slab interfaced with different fluids on either side. This case serves as a model for studying water/ice plate/air systems. Numerical results illustrating the cases of longitudinal or shear wave incidence, as applicable, shall be presented.