Abstract
Given a harmonic source producing an acoustic field incident on a structure placed in a range independent shallow water environment, the method of superposition is applied to compute the field scattered by the target. This problem involves both propagation effects and target scattering effects as well as the coupling of the two. Previously, the coupled problem has been treated by using the T-Matrix method but, in many cases, in order to simplify the problem, the coupling of the two effects had been neglected by ignoring the contribution of multiple scattering between target and shallow water boundaries. Scattering computations are made to show the importance of including this coupling effect even at relatively low frequencies. In addition, the frequency response of a soft target in a bounded environment is Fourier transformed into the time domain to observe target-propagation properties in the time domain.

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