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Green's functions for hard and soft surfaces derived by asymptotic boundary conditions

The Green's function for different realizations of soft and hard surfaces are developed by using the asymptotic boundary condition and the spectral domain approach. We consider the following geometries: the ideal PEC/PMC strip surface, the strip-loaded grounded slab and the corrugated surface. The strips and corrugations are straight in all cases. The asymptotic boundary conditions are valid in the limiting sense, when the period of the strips is approaching zero. the surface waves appear as poles in the developed Green's functions. The fulfillment of both soft and hard boundary conditions is discussed in the near and far field regions. In same cases the appearance of the surface waves prevents the boundary condition in the near field region from being fulfilled.

Green's function; hard surface; soft surface; asymptotic boundary condition

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