Abstract
The problem of horizontally propagating gravity waves impinging on a vertical shear layer which forms the boundary between uniform currents is isomorphic to an acoustic problem solved by Miles and by Ribner. The consequences of over‐reflection for a spatially growing instability are pointed out. The long wave reflection problem is solved for free surface and internal waves on a thin layer in an otherwise deep fluid. Over‐reflection is found possible for Froude numbers in excess of two; infinite over‐reflection will occur for certain angles of impingement.
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