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arXiv:1303.1376 · Physical Review A

Control of beam propagation in optically written waveguides beyond the paraxial approximation

Lida Zhang, Tarak Nath Dey, Jörg Evers

Published Apr 30, 2013• 20 citations
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Abstract

Beam propagation beyond the paraxial approximation is studied in an optically written waveguide structure. The waveguide structure, which leads to diffractionless light propagation, is imprinted on a medium consisting of a five-level atomic vapor driven by an incoherent pump and two coherent spatially dependent control and plane-wave fields. We first study beam propagation in a single optically written waveguide and find that the paraxial approximation does not provide an accurate description of the probe propagation. We then employ coherent control fields such that two parallel and one tilted Gaussian beams produce a branched waveguide structure. The tilted beam allows selective steering of the probe beam into different branches of the waveguide structure. The transmission of the probe beam for a particular branch can be improved by changing the width of the titled Gaussian control beam as well as the intensity of the spatially dependent incoherent pump field.

DOI
10.1103/physreva.87.043842

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Beam propagation beyond the paraxial approximation is studied in an optically written waveguide structure. The waveguide structure, which leads to diffractionless light propagation, is imprinted on a medium consisting of a five-level atomic vapor driven by an incoherent pump and two coherent spatially dependent control and plane-wave fields. We first study beam propagation in a single optically written waveguide and find that the paraxial approximation does not provide an accurate description of the probe propagation. We then employ coherent control fields such that two parallel and one tilted Gaussian beams produce a branched waveguide structure. The tilted beam allows selective steering of the probe beam into different branches of the waveguide structure. The transmission of the probe beam for a particular branch can be improved by changing the width of the titled Gaussian control beam as well as the intensity of the spatially dependent incoherent pump field.
Diffractionless propagation of optical beams through atomic vapors is investigated. The atoms in the vapor are operated in a three-level Raman configuration. A suitably chosen control beam couples to one of the transitions, and thereby creates a spatially varying index of refraction modulation in the warm atomic vapor for a probe beam that couples to the other transition in the atoms. We show that a Laguerre-Gaussian control beam allows the propagation of single Gaussian probe field modes as well as multi-Gaussian modes and non-Gaussian modes over macroscopic distances without diffraction. This opens perspectives for the propagation of arbitrary images through warm atomic vapors.
This research investigates the intricate interplay between a Hermite-Gaussian (HG) weak probe field and a five-level tripod atomic medium, modulated by three laser fields. The atomic medium's refractive index is made spatially dependent by a Hermite-Gaussian beam of light and influenced further by a Kerr field and a control field. The study focuses on exploring the impact of key parameters on the propagation dynamics of the HG probe field. The primary parameters under scrutiny include the probe field detuning (ΔP/γ\Delta_P/\gammaΔP​/γ), Kerr, coherent pump, and control field characteristics such as Rabi frequencies and detunings (Ω1,2,3/γ\Omega_{1,2,3}/\gammaΩ1,2,3​/γ, Δ1,2,3/γ\Delta_{1,2,3}/\gammaΔ1,2,3​/γ), as well as spatial coordinates x/ω0x/\omega_0x/ω0​ and y/ω0y/\omega_0y/ω0​, where ω0\omega_0ω0​ denotes the Gaussian beam waist. Through systematic analysis, we elucidate the intricate effects of these parameters on the modulation of the HG probe field within the atomic medium. The study not only contributes to the fundamental understanding of light-matter interactions in complex atomic systems but also holds promise for potential applications in quantum information processing and communication. The results provide valuable insights into the control and manipulation of light beams in spatially varying media, paving the way for advancements in quantum optics and atomic physics.
This research investigates the intricate interplay between a Hermite-Gaussian (HG) weak probe field and a five-level tripod atomic medium, modulated by three laser fields. The atomic medium's refractive index is made spatially dependent by a Hermite-Gaussian beam of light and influenced further by a Kerr field and a control field. The study focuses on exploring the impact of key parameters on the propagation dynamics of the HG probe field. The primary parameters under scrutiny include the probe field detuning (ΔP/γ\Delta_P/\gammaΔP​/γ), Kerr, coherent pump, and control field characteristics such as Rabi frequencies and detunings (Ω1,2,3/γ\Omega_{1,2,3}/\gammaΩ1,2,3​/γ, Δ1,2,3/γ\Delta_{1,2,3}/\gammaΔ1,2,3​/γ), as well as spatial coordinates x/ω0x/\omega_0x/ω0​ and y/ω0y/\omega_0y/ω0​, where ω0\omega_0ω0​ denotes the Gaussian beam waist. Through systematic analysis, we elucidate the intricate effects of these parameters on the modulation of the HG probe field within the atomic medium. The study not only contributes to the fundamental understanding of light-matter interactions in complex atomic systems but also holds promise for potential applications in quantum information processing and communication. The results provide valuable insights into the control and manipulation of light beams in spatially varying media, paving the way for advancements in quantum optics and atomic physics.
A standing-wave control field applied to a three-level atomic medium in a planar hollow-core photonic crystal waveguide creates periodic variations of linear and nonlinear refractive indexes of the medium. This property can be used for efficient steering of light. In this work, we study, both analytically and numerically, the dynamics of probe optical beams in such structures. By properly designing the spatial dependence of the nonlinearity, it is possible to induce long-living Bloch oscillations of spatial gap solitons, thus providing desirable change in the direction of the beam propagation without inducing appreciable diffraction. Due to the significant enhancement of the nonlinearity, such self-focusing of the probe beam can be reached at extremely weak light intensities.
A scheme is proposed to achieve substantial controllable phase modulation for a probe field propagating through a thermal atomic vapor in double-$\ensuremath{\Lambda}$ configuration. The phase modulation is based on manipulating the linear susceptibility of the probe field, paraxial diffraction is eliminated by exploiting the thermal motion of atoms, and residual absorption is compensated via an incoherent pump field. As a result of the homogeneous change in the refractive index, a strong controllable uniform phase modulation without paraxial diffraction is achieved essentially independent of the spatial profile or the intensity of the probe field. This phase shift can be controlled via the intensities of the control or the incoherent pump fields. A possible proof-of-principle experiment in alkali-metal atoms is discussed.
We propose an efficient scheme for the generation of tunable optical waveguides based on atomic vapor in an NNN-type configuration. We exploit both control-field-induced transparency and Kerr-field-induced absorption to produce a flexible probe transparency window otherwise not feasible. We employ a suitable spatial profile of control and Kerr beams to create a high contrast refractive index modulation that holds the key to guiding a weak narrow probe beam. Further, we numerically demonstrate that high-contrast tunable waveguide permits the propagation of different modes of probe beam to several Rayleigh lengths without diffraction. This efficient guiding of narrow optical beam may have important applications in large-density image processing and high-resolution imaging.