We study metamaterial structures coated with highly conductive layers in order to manipulate the propagation of electromagnetic beams. These structures are described and analyzed by coordinate transformations applied to domains bounded by perfectly conducting surfaces. The perfectly conducting boundary conditions are shown to remain invariant under the transformations. Our approach is a generalization of the previously reported coordinate transformation method facilitating the design of novel metamaterial devices and offering an alternative approach to existing ones. These represent various metamaterial structures for reflectionless beam rotation, spatial displacement and metamaterial layers which can be inserted into waveguides to obtain a reflectionless shape change and waveguide miniaturization. Several two-dimensional versions of the proposed devices, including the beam shifter and rotator are numerically simulated fully confirming our predictions. It is shown that devices offering extraordinary control over the electromagnetic fields can be devised if anisotropic metamaterials with spatially varying parameters are available. The properties of metamaterials required for the fabrication of these devices are determined by the type of local change of the beam's shape. In parts of the structure in which the original beam is stretched, the phase velocity exceeds c, so material dispersion is expected meaning that the conditions for the reflectionless field manipulation can be met only in a limited range of frequencies. We expect that the proposed devices will be interesting for single frequency applications such as various waveguiding structures or electromagnetic cavities.

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