Abstract
Water-wave scattering by porous bottom undulations of an ocean with an ice cover is investigated by perturbation analysis. The first-order reflection and transmission coefficients were obtained using Green’s integral theorem and Fourier transform technique. It is shown that the expressions for the first-order reflection and transmission coefficients are same for both the techniques. The first-order reflection coefficient is computed numerically and it is observed that the porosity of the ocean bottom has an effect on the reflection and transmission coefficients. The problem is also studied when the porosity parameter is a complex number. Numerical results are depicted graphically in a number of figures for different values of parameters.
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