Kerr-effect analysis in a three-level negative index material under magneto cross-coupling

Abstract

We discuss the feasibility of the Kerr effect in negative refractive index materials under magneto cross-coupling and reservoir interaction. The considered medium is a typical three-level atomic system where we derive both the refractive and the gain spectrum. The profiles are analyzed for a weak probe field, and for varying strengths of the strong control field. The considered scheme shows an enhancement of the Kerr nonlinearity which we attribute to the contribution of the electromagnetic components of the fields. For more realistic experimental conditions, we discuss the dependence of the Kerr effect on different thermal bath coupling constants.

Controllable refractive index in a four-level left-handed medium using pulse shaping

“…The local field effect, which results from the dipole-dipole interaction between neighboring atoms, must be considered in such atomic media. This means that after considering the atomic electric and magnetic polarizabilities, the effect of local field correction on the medium's electric and magnetic susceptibilities (and thus permittivity and permeability) is considered [46][47][48]. To analyze the refractive index, we first find the density matrix's off-diagonal elements, which are related to the electric and magnetic polarizabilities via the Clausius-Mossotti relations [49].…”

“…where ε 0 and µ 0 are respectively the permittivity and the permeability of the vacuum, c is the celerity of the light, ℏ is the Planck constant and d is the dipole moment [46]. Finally, since there is no induced chirality or magneto-cross coupling effect in the considered system, we can simply write the refractive index as the root of the permittivity and permeability product [50].…”

Negative refractive index enhancement with zero absorption in a concentric chiral metal-atomic nanoshell

“…Intuitively, the permeability order for a natural medium, as studied by Thommen and Mandel, can be increased by using the coupled electric transition to induce magnetic moments in the medium [27]. Moreover, numerous atomic schemes [28][29][30][31] have been investigated for electromagnetic-induced chirality [28], light drag in left handed dense atomic medium [32], Kerr effect in left handed material [33] and negative refraction with suppressed absorption [31,[34][35][36][37] using the quantum coherence phenomenon of electromagnetic induced transparency [28] and gain [38] of a probe field.…”

Light drag in an optically dense left-handed atomic medium

“…On the other hand, the science of negative refractive index materials [19][20][21], has captivated many researchers because these media exhibit counter-intuitive optical properties in which a wave encounters negative refraction at an interface resulting in a backward transmission [22]. Hence, a high resolution was possible below the diffraction limit leading to high precision in the sub-wavelength imaging [23], the terahertz engineered absorbers [24], anti-reflective coated lenses [25], and conversion polarizers [26].…”