Cut-Through Metal Slit Array as an Anisotropic Metamaterial Film

It has been shown that a metal film with a one-dimensional array of subwavelength cut-through slits can be accurately modeled as an anisotropic and uniform metamaterial film with nondispersive electric permittivity [epsimacr] and magnetic permeability [mumacr] tensors. This model has an interesting scaling property: The values for the thickness Lmacr can be chosen at arbitrarily, provided that [epsimacr] and [mumacr] are scaled accordingly. The analytical expressions of the corrections due to near fields have also been given. This framework provides an intuitive and precise model for the understanding of the metal slit arrays in the subwavelength regime