Abstract
We derive a simple and efficient method for designing wave-shaping materials composed of dipole scatterers, taking into account multiple scattering effects and both magnetic and electric polarizabilities. As an application of our theory, we design a-periodic metasurfaces that re-structure the radiation from a dipole emitter: (i) modifying of the near-field to provide a 3 fold enhancement in power emission; (ii) re-shaping the far-field radiation pattern to exhibit chosen directivity; and (iii) the design of a discrete ‘Luneburg lens’. Our proposed technique is relevant to designing metamaterials for a wide class of applications, and has the key benefit of including all interactions within the system of scatterers. Additionally, we develop a clear physical interpretation of the optimized structure, by extracting ‘eigen-polarizabilities’ of the system, finding that a large ‘eigen-polarizability’ corresponds to a large collective response of the scatterers.
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