Electromagnetic interaction in dipole grids and prospective high‐impedance surfaces

Abstract

[1] A two-dimensional grid of isotropic dipole scatterers excited by an obliquely incident plane wave is considered. Analytical formulas are obtained for the so-called interaction constant of the grid. To validate our theory, a comparison is done between the obtained approximate relation for the interaction constant, the result of the numerical summation of dipole fields, and a known accurate result for a special case. The theory results in the grid impedance of arrays which does not depend on the wave incidence angle. We show that the grid of nearly resonant electric dipoles turns out to be prospective as a constitutive element of novel high-impedance surfaces whose impedance is unique for the whole angular spectrum of plane waves.Citation: Simovski, C. R., S. Zouhdi, and V. V. Yatsenko (2005), Electromagnetic interaction in dipole grids and prospective high-impedance surfaces, Radio Sci., 40, RS5008,

Analytical modeling of conformal mantle cloaks for cylindrical objects using sub-wavelength printed and slotted arrays

“…To overcome the above time consuming numerical optimization procedure with the aim to quickly and efficiently design practical mantle cloaks for cylindrical objects, in the present paper we propose a simple and accurate analytical model to design conformal mantle cloaks formed by subwavelength periodic printed and slotted arrays. We consider a variety of 1D and 2D arrays with sub-wavelength frequency selective surface (FSS) elements, such as strips, 12 mesh grids and patches, [12][13][14][15][16] Jerusalem crosses, 17,18 and cross dipoles, 19 whose closed-form analytical expressions of the surface reactance for planar configurations [12][13][14][15][16][17][18][19] are available in the literature. These expressions have been obtained as a solution of a plane-wave scattering problem, which relate averaged fields to the induced averaged surface current density.…”

Low-RCS and Polarization-Reconfigurable Antenna Using Cross-Slot-Based Metasurface

“…In order to validate this, the unit cell is excited by a normal incident plane wave with its electric field components along the v-and u-axes. For v-polarized incident wave, the slot along the u-axis (length S 1 ) resonates, and the interaction of the incident field with other slot (length S 2 ) is neglected [10]. The equivalent circuit of the unit cell for the v-polarized wave is shown in Fig.1(c).…”

“…The equivalent circuit of the unit cell for the v-polarized wave is shown in Fig.1(c). The slot inductance L v and capacitance C v is obtained from the equivalent metal dipole using the Babinet principle [10]. The surface impedance (Z v ) of the unit cell for the v-polarized incident wave is calculated from (1).…”

Applicability of point-dipoles approximation to all-dielectric metamaterials

“…We use another approach in which meta-atoms are replaced with point electric and magnetic dipoles [27,28,[32][33][34][35][36][37][38][39]. The advantage of such an approach is that the interaction of dipoles can be explicitly taken into account either numerically for the arrays up to a few hundred by a few hundred elements or analytically for an infinite array [33].…”