Sound scattering by a resistive and axially symmetric object in a two-layer ocean

An acoustically resistive and axially symmetric object is placed in a two-layer ocean very far from a point source of acoustic waves. The object is either floating in the water layer or buried in the sediment layer. Both layers are homogenous. The size of the object is small when compared to the depth of the water channel. The free surface of the sea is assumed to be soft and the bottom is assumed to be hard. Between the two layers the classical diffraction boundary conditions are taken. An extension of the Deep Water Approximation method [Ergatis P. Radiation, propagation and scattering of acoustic waves in an underwater environment. PhD thesis, University of Patras; 1997 (in Greek)] is being provided to cover the case of resistive scatterers [Colton, D., Kress, R. Integral equation methods in scattering theory. New York: Wiley; 1983].