Abstract
In the present paper we give a general two-dimensional formalism for scattering in a multilayered medium with a finite inhomogeneity present. The formalism is based on the T matrix method, introduced by Waterman [J. Acoust. Soc. Am. 45, 1417 (1969)]. The formalism is developed in detail for the geometries consisting of one layer with an obstacle situated either inside or below the layer. More general geometries with an arbitrary number of layers are also discussed. Numerical results for the one-layer case are given. Extensions in several directions are indicated

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