Abstract
AbstractThe concept of fractal coding metamaterials is proposed here, which can be used to design reflective metasurfaces with self‐similar pseudo‐random phase responses based on the coding strategy utilizing fractal interpolation functions (FIF). The class of fractals whose FIF is formed by a contraction mapping on the y‐coordinate and an arbitrary linear function of the x‐coordinate is considered. This formulation is used in deriving the theoretical model and in the experimental realization. An analytical relation between the reflection phase distribution in the form of the above‐mentioned FIF and the far‐field radiation pattern of the structure is derived. In the numerical example, a reflecting metasurface formed by slotted metallic patches of varying sizes is considered. A number of full wave scattering simulations for such a metamaterial reflectarray are performed and the optimal designs which make the response of the structure more accurate as compared with the analytical predictions are identified. Following the simulation results, the array is built and a number of measurements are performed. The results of this work may find applications in phased antenna array design and beam forming.
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