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Sum rules and physical limitations for passive metamaterials

Bandwidth is an important parameter in many metamaterial applications. It has been shown that Herglotz functions and sum rules offer a powerful methodology to analyze the trade-off between bandwidth and design parameters. Here, this approach is described for the temporal dispersion of constitutive relations and high-impedance surfaces.

Multiple scattering by a collection of randomly located obstacles Part I: Theory - coherent fields

Scattering of electromagnetic waves by discrete, randomly distributed objects is addressed. In general, the non-intersecting scattering objects can be of arbitrary form, material and shape. The main aim of this paper is to calculate the coherent reflection and transmission characteristics of a finite or semi-infinite slab containing discrete, randomly distributed scatterers. Typical applications o