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We consider the situation where the scatterer is placed in a reference structure consisting of two half planes, where the boundary between the two half planes is located at y = 0 along the x axis. If both the source and observation point r and r, respectively, are above the boundary [Fig. 4: (a) Construction of the Green’s function for r ∈ / Ω2 with the source point above the boundary. (b) The same as in a) but with the source point below the boundary. d point g+ (r, r , ω0 ) and the indirect propagation due to reflection from the interface i g+ (r, r , ω0 ) must be taken into account.

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