Homogenization of Planar Bianisotropic Arrays on the Dielectric Interface

Abstract

A model for the electromagnetic properties of a dielectric half-space covered by a regular array of planar bianisotropic particles is described. The model allows us to homogenize the structure, presenting it as a half-space covered by a nite-thickness layer of bianisotropic medium. The array particles' mutual coupling is studied within the frame of the assumption of "electric and magnetic dipole," which implies the rather sparse arrays of particles, though the presented approach can be generalized to the case of dense arrays taking into account the higher multipoles. The model is numerically tested for the case of a bianisotropic array in free space.

Gain enhancement with near-zero-index metamaterial superstrate

“…Accordingly, the period a and hence the greatest dimension of the metamaterial unit cell must be much lower than the operating wavelength, to satisfy the homogenization criterion [17]. So it is fixed at a = 2 mm which is lower than…”

Homogenization of an Array of S-Shaped Particles Located on a Dielectric Interface

“…In this section we briefly explain the theory of homogenization using the model of [17] which has been developed also in [14,15,18]. This model replaces the square grid of parallel identical dipoles with polarizability a and period d by an effective layer of thickness d p and bulk dielectric susceptibility κ p .…”

“…Let us assume that we know the polarizability a xx of the electric dipoles that compose the square grid with period d. Following [17] and [18], we must calculate the averaged field at any position. To do this, we must average the true electric field (which is the addition of the field of incident wave with the field generated by the grid of dipoles and the dielectric substrate).…”

“…The averaging is done over a cubic cell of volume V = d × d × d which is centered at the observation point. The averaged field E (calculated at the center of an arbitrary dipole) is related with the local field E loc (acting on this dipole) by [18]:…”

“…Secondly, the period of the grid must be much smaller than λ. In [18] the theory has been modified for the special case when the particles are located on the dielectric interface.…”