Achieving all-dielectric left-handed metamaterials via single-sized dielectric resonators

Abstract

We demonstrate that using single-sized dielectric resonators, all-dielectric left-handed metamaterial (LHM) can be achieved in the C-band microwave regime. The single-sized rectangular resonator, operating under higher-order resonant modes, possesses electric and magnetic responses simultaneously, leading to the double-negative resonance behavior. We find that the electric/magnetic resonance can be enhanced by elongating the size of the rectangular resonators along the electric field direction. It is shown that polarization currents in dielectric resonators are the same as conduction currents in cut-wire pairs. Experiments were carried out to verify the designed all-dielectric LHM. The proposed method provides a convenient route to all-dielectric LHMs.

Geometrically Lit Region Analysis of the Single-Ray Debye Terms for the Transmission of a High Frequency Plane Wave Into a Double-Negative Cylinder by the Modified Watson Transformation and Debye Series Expansion

“…The same comparison is performed between the second series in (52) and the steepest descent evaluation of the second integral in (8). The results of these comparisons are displayed for the following parameters: In this way, the amplitude verification of the physical picture for the first intersection is performed.…”

“…The first series in (52) is compared to the steepest descent evaluation of the first integral in (8). The same comparison is performed between the second series in (52) and the steepest descent evaluation of the second integral in (8).…”

“…Now, the physical picture for the lower ray, i.e., the ray incident on the point P (a, −θ), is to be drawn and verified since the lower ray is critical in the field formation by two-rays. This field formation is represented by the first part of the integrand of the first integral in (8) and is shown in Figure 4.…”

“…The physical picture shown in Figure 6 is to be proven now. The physical picture is related with the first part of the second integral in (8). After the application of the Debye approximation using the relation H…”

“…Since the geometrical optics (GO) approximation is to be used for the physical interpretation of the transmission process in the geometrically lit region, the Debye approximation for Hankel functions is to be employed in the integrands in (8). The Debye approximations for Hankel functions are…”