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The behavior of an electromagnetic wave impinging on a thin layer of arbitrary material can be described with a vector circuit interpretation of a transition matrix model. This paper follows the idea of applying such a matrix to the finit-element method (FEM). Especially, several very thin layers composed to an electrically not so thin layer may be treated comfortably. The method will be tested firstly on simple dielectric layer with a known analytic solution. In consequence, the example of a thick layer modeled by a number of thin layers will be given, as well.