A surface with periodic corrugations of suffciently small periodicity is shown to be electromagnetically equivalent to an inhomogeneous transition region (slab). Explicit expressions for the inhomogeneous transition region are found for one-dimensional corrugations and for two-dimensional corrugations a local elliptic problem has to be solved in order to ﬁnd the equivalent electromagnetic properties. The homogenized surface can be characterized by its surface impedance dyadic or its reﬂection dyadic. A few numerical examples illustrate the theory.
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