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The scattering properties of antennas are discussed in terms of the scattering matrix. It is shown that one retains some control over the scattering properties of the antenna after the radiation pattern is specified and the scattering matrix can be used to optimize these scattering properties. The scattering matrix is used to design a simple antenna which absorbs more power than it scatters under conjugate-matched conditions. A loop-dipole configuration is given which corresponds to the scattering matrix.