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Journal of Modern Optics

Engineering the dispersion of a fibre mode via molecular coherence

Anil K. Patnaik, Jian Liang, K. Hakuta

Published Jan 1, 2003• 2 citations
Publisher

Abstract

Propagation of a fibre mode inside a thin optical fibre surrounded by a molecular solid of ortho-H2 doped in a matrix of para-H2 crystal is considered. The evanescent fields of the fibre modes interact with the molecular solid which behaves as an electromagnetically induced transparency medium. It is shown that the dispersion behaviour and hence the group velocity of a weak (probe) field fibre mode can be manipulated by coherently controlling the dispersion of the surrounding medium via another strong (control) evanescent field of the thin fibre, using a low density crystal surrounding the fibre. For a set of experimental parameters of the medium, fibre and fields, the group velocity of the fibre mode could be drastically reduced to about a few hundreds of ms−1.

DOI
10.1080/09500340308233587

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Atomic coherence is induced in the multilevel atomic system via strong control field that alters the response of medium to a weak probe laser field. This involves quantum interference in the amplitudes of optical transitions and causes the cancellation of absorption, i.e., electromagnetically induced transparency (EIT). Electromagnetically induced transparency is investigated inside a planar optical waveguide. The eigenvalue equation for the waveguide is solved and used to explore various EIT effects. We show how EIT depends on the incidence angle and allowed mode order of the waveguide and on position of EIT atom inside the structure.

•Mar 16, 2012•1 citation
Propagation of a fibre mode inside a thin optical fibre surrounded by a molecular solid of ortho-H2 doped in a matrix of para-H2 crystal is considered. The evanescent fields of the fibre modes interact with the molecular solid which behaves as an electromagnetically induced transparency medium. It is shown that the dispersion behaviour and hence the group velocity of a weak (probe) field fibre mode can be manipulated by coherently controlling the dispersion of the surrounding medium via another strong (control) evanescent field of the thin fibre, using a low density crystal surrounding the fibre. For a set of experimental parameters of the medium, fibre and fields, the group velocity of the fibre mode could be drastically reduced to about a few hundreds of ms−1.
We propose a configuration that utilizes electromagnetically induced transparency (EIT) to tailor a fiber mode propagating inside a thin optical fiber and coherently control its dispersion properties to drastically reduce the group velocity of the fiber mode. The key to this proposal is that the evanescent field of the thin fiber strongly couples with the surrounding active medium, so that the EIT condition is met by the medium. We show how the properties of the fiber mode are modified due to the EIT medium, both numerically and analytically. We demonstrate that the group velocity of the modified fiber mode can be drastically reduced $(\ensuremath{\approx}44\mathrm{}\mathrm{m}/\mathrm{s}\mathrm{e}\mathrm{c})$ using the coherently prepared orthohydrogen doped in a matrix of parahydrogen crystal as the EIT medium.
Abstract Slow light with electromagnetically induced transparency (EIT) in the core of optical fibre containing three-level atoms is investigated. The guided modes are treated in the weakly guiding approximation which renders the analysis into a manageable form. The transparency window and permittivity profile of the core due to the strong pump field in the EIT scheme is calculated. For a specific permittivity profile of the core due to EIT, the propagation constant of the weak signal field and spatial shape of fundamental guided mode are calculated by solving the vector wave equation using the finite difference method. It is found that the transparency window and slow light field can be controlled via the optical fibre parameters. The reduced group velocity of slow light in this configuration is useful for many technological applications such as optical memories, effective control of single photon fields, optical buffers and delay lines.
Coherent interactions of laser fields with resonant atomic and molecular transitions significantly modify optical characteristics of the medium via quantum interference between transition amplitudes. This interference can result in reduction or enhancement of the laser absorption, decrease of the group velocity of the laser pulse etc. The origin of all these processes is electromagnetically induced transparency. This effect is intensively investigated in the connection with its multiple applications: lasing without inversion, group velocity control, quantum optical storage and quantum computing, effective nonlinear interactions of low field intensities, high-precision measurements, spectroscopy and metrology, plasma diagnostics, atomic clock etc.
We show that the group velocity of a weak pulse can be manipulated by controlling the phases of two weak optical fields applied to a V-shaped three-level system. Such control can even cause the probe propagation to change from subluminal to superluminal. We consider two schemes: in the first, the excited states are coupled by decay-induced coherence, which is an inherent property of the medium, and in the second, quantum coherence is created by coupling the excited states to each other by a strong microwave field. We also discuss the group velocity reduction experienced by a single weak propagating probe due to decay-induced coherence.
Optical frequency references are devices providing well-defined and stable optical frequency responses to incoming radiation for applications such as high-precision spectroscopy and optical fibre communications. To stabilise the emission frequency of lasers, which drifts with time mostly because of fluctuations in temperature and mechanical vibrations, atomic and molecular optical transitions can be used since they show precise and well-defined frequency responses to incoming radiation. However from a practical standpoint conventional gas cell devices cannot be easily integrated into existing optical systems because of their bulky dimensions. To replace conventional absorption cells, photonic crystal fibres filled with gas-phase material are promising devices owing to their robustness, reliability, and portable characteristics. In addition they can be directly embedded into existing optical systems and they perform well in harsh environments. In this experimental study, optical gas-phase frequency references based on photonic crystal technology are realised. The gas-sensing properties of different photonic crystal fibre samples are studied and the long-term stability and reliability of fibre gas cells are demonstrated. In addition an analytical model predicting the gas-filling time in photonic crystal fibres (PCF) is developed and can be applied to any type of fibre, fibre geometry, or length. Then fibre gas cells filled with acetylene gas, a recognised frequency reference gas-phase material, have been prepared to conduct fundamental research on slow & fast light generation in optical fibres to verify the possibilities of slow light in enhancing light-matter interaction. The group velocity of light is controlled by modifying the material and structural dispersive properties of the PCF absorption cells through stimulated Brillouin scattering and cavity ring resonators, respectively. We could demonstrate that material slow light has no impact on the molecular absorption effect whereas structural slow light has an impact on the absorption efficiency scaling linearly with the group index. Such radically different responses to slow light suggest that group velocity is not the universal physical quantity scaling light-matter interaction, and that the optical absorption of molecules is more closely related to the velocity of the electromagnetic energy. Finally the impact of slow light on the molecular absorption efficiency is also evaluated in dispersion-engineered photonic crystal waveguides. We demonstrate that in planar photonic crystal waveguides the field enhancement and its evanescent fraction have more impact on the absorption efficiency than the reduction of the group velocity of light.
Atomic coherence is induced in the multilevel atomic system via strong control field that alters the response of medium to a weak probe laser field. This involves quantum interference in the amplitudes of optical transitions and causes the cancellation of absorption, i.e., electromagnetically induced transparency (EIT). Electromagnetically induced transparency is investigated inside a planar optical waveguide. The eigenvalue equation for the waveguide is solved and used to explore various EIT effects. We show how EIT depends on the incidence angle and allowed mode order of the waveguide and on position of EIT atom inside the structure.