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The theory for electromagnetic scattering from a special periodic structure adjacent to a stratified medium is given. The configuration consists of a parallel grid of thin wires that are located in a plane parallel to a planar stratified region. The case where the grid is outside the stratified half-space is considered first. Subject to the restriction on the thinness of the grid wires, an exact solution for the scattered fields is obtained. The final result, for the far-field scattering and transmission, can be interpreted clearly in terms of an equivalent transmission line circuit. In this case, the grid is represented as a shunt element. Finally, the theory is generalized to allow for the situation where the grid is within the stratified region.