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A Note On The Radiation Problem of Water Waves In Presence of A Submerged Line Source With A Bottom Having Step Deformation

Starting from an asymptotic representation of the velocity potential at infinite distances, the radiation problem of water waves due to a line source in presence of a bottom having step deformation is studied. Relations connecting amplitudes of radiated waves at infinite distances are worked out using Green's second identity. The general asymptotic forms of the potential form at infinite distances are written down in a discrete manner. A matrical representation connecting wave amplitudes is arrived at.