Metasurfaces are thin metamaterial layers characterized by unusual reflection properties of plane waves and/or dispersion properties of surface/guided waves. Properly modulated metasurfaces can be used to transform an incoming surface wave field into a different wavefield configuration with desired properties. This work proposes a systematic approach to design a large number of metasurface-based devices based on a metasurface transformation theory. This approach represents an extension of the Transformation Optics method to control the wavefront of surface waves through the use of modulated metasurfaces.
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