Slow light with three-level atoms in metamaterial waveguides

Abstract

Metamaterial is promising for enhancing the capability of plasmonic devices. We consider a cylindrical waveguide with three-level \Lambda\ atoms embedded in the dielectric core. By comparing metal cladding vs metamaterial cladding of a waveguide with \Lambda\ atoms in the core, we show that, for a fixed amount of slowing of light due to electromagnetically induced transparency, the metamaterial cladding outperforms in terms of the inherent loss.Comment: 8 Pages, 6 figure

Guided Optical Modes in Metal-Cladded Tunable Hyperbolic Metamaterial Slab Waveguides

“…Some studies were dedicated to analysis of various slab waveguide's configurations and included an air-core waveguide [10] or an LHM embedded only in the substrate or the cladding [11,12]. More recently, modal properties of slab and cylindrical waveguides with a dielectric core and a lossy metamaterial cladding have been established, including support for both surface and ordinary TM modes, as well as hybrid ordinary-surface TM modes [13]. In general, waveguides based on DNG have been recognized as photonic structures enabling slowing or stopping light [13][14][15].…”

“…More recently, modal properties of slab and cylindrical waveguides with a dielectric core and a lossy metamaterial cladding have been established, including support for both surface and ordinary TM modes, as well as hybrid ordinary-surface TM modes [13]. In general, waveguides based on DNG have been recognized as photonic structures enabling slowing or stopping light [13][14][15]. For the same applications, planar waveguides composed of a conventional dielectric cladded with single-negative materials have also been proposed [16].…”

A transversely localized light in a waveguide: the analytical solution and its potential application

“…(see [28] and references there). The developed nanooptics increases an interest to the theory of a light in the planar waveguides characterized by various geometry and material properties [24,26,[29][30][31][32][33][34][35][36]. Now the researchers need to use the numerical methods providing only numerical data of the calculations restricted by the concrete physical and geometrical parameters of the planar waveguides.…”

“…In this letter we develop the theoretical approach and have obtained the transparent analytically simple solution for a light in the parallel-plate waveguide. For inspection of the obtained solution, we have used the comprehensive numerical calculations [31] carried out in the wide frequency range.…”

“…It is necessary to have the eigen mode dispersion relation in the form k = k(ω) that can provide principal information about the localized electromagnetic fields such as the phase and group velocities, transverse shape and propagation length of the low-losses modes(see [12] [28] and references there). Unfortunately, the transcendental equation (3) does not have analytical solution and this is the well-known long-term problem (see for example references [22,23,31,32,[43][44][45]) of general analysis of light in various waveguides. The existing theoretical approaches permit only the approximate solutions of the transcendental equation in three limiting cases: i) near cuttoff, ii) at short-wave limit Lω/c ≫ 1, and iii) in the strongly asymmetrical case (see, for example [22]).…”