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A method for the theoretical investigation of an arbitrary reflector array of the Van Atta type is described. The analysis is carried out for a reflector consisting of dipoles. Each pair of antenna elements is represented by an equivalent circuit. Mutual impedances and scattering by the dipoles are taken into account. The theory is illustrated by a numerical example of a linear reflector consisting of four half-wave dipoles. The result shows that the simple explanation of the action of a Van Atta reflector is not sufficient.