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Comptes Rendus Physique

Slow-light through nonlinear wave-mixing in liquid crystal light-valves

U. Bortolozzo, S. Residori, Jean‐Pierre Huignard

Published Dec 1, 2009• 7 citations
Publisher

Abstract

Slow-light is obtained through nonlinear wave-mixing in a liquid crystal light-valve. A deceleration of light pulses down to group velocities as small as 0.2 mm/s is achieved when two-wave-mixing is performed with a continuous pump and a time modulated signal. A model accounts for the observations in the general framework of nonlinear wave-mixing in thin media. The large group delay provided by the light-valve is exploited to enhance the spectral sensitivity of an interferometer, whereas the narrow frequency bandwidth of the two-wave-mixing gain is used to realize an adaptive holographic system that allows achieving subpicometer detection.

DOI
10.1016/j.crhy.2009.09.003

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Two-wave mixing and slow-light effects in liquid crystal light-valves

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By performing two-wave mixing experiments in a liquid-crystal light valve, optical pulses are slowed down to group velocities as slow as a few tenths of mm/s, corresponding to a very large group index. We present experiments and model of the slow-light process occurring in the liquid-crystal light valve, showing that this is characterized by multiple-beam diffraction in the Raman-Nath regime. Depending on the initial frequency detuning between pump and signal, the different output order beams are distinguished by different group delays. The group delay can be tuned by changing the main parameters of the experiment: the detuning between the pump and the input wave packet, the strength of the nonlinearity, and the intensity of the pump beam.

Physical Review A•May 18, 2009•10 citations
Slow-light is obtained through nonlinear wave-mixing in a liquid crystal light-valve. A deceleration of light pulses down to group velocities as small as 0.2 mm/s is achieved when two-wave-mixing is performed with a continuous pump and a time modulated signal. A model accounts for the observations in the general framework of nonlinear wave-mixing in thin media. The large group delay provided by the light-valve is exploited to enhance the spectral sensitivity of an interferometer, whereas the narrow frequency bandwidth of the two-wave-mixing gain is used to realize an adaptive holographic system that allows achieving subpicometer detection.
Two-wave mixing experiments performed in a liquid crystal light-valve leads to optical amplification in the Raman-Nath regime of diffraction. By exploiting the dispersion properties associated with the two-wave mixing gain, we demonstrate slow and fast light effects, with the output signal pulse either delayed or anticipated with respect to the input light field. Group velocity as slow as a 0.2 mm/s are obtained, and a large tunability of the group delay is achieved thanks to the ability of controlling the liquid crystal nonlinear response through the main experimental parameters. A theoretical model based on the Kerr-like response of the liquid crystal light-valve accounts for the experimental results and allows us to calculate the group delays for the different output orders. We show that the large group delay obtained in the slow light regime can be exploited to enhance the spectral sensitivity of a Mach-Zehnder interferometer and, on the other side, the narrow frequency bandwidth of the two-wave mixing gain can be used to realize an adaptive holographic system that achieves picometer detection.
Abstract After a review of the basic concepts of slow and fast light, recent advancements based on nonlinear wave‐mixing processes are described. As a nonlinear medium, the authors focus on a liquid crystal light valve showing that it allows obtaining a large control of the group delay, with a maximum fractional delay of 1, and a deceleration of light pulses down to group velocities as small as 0.2 mm/s. A theoretical model accompanies the observations and accounts for them in the general framework of two‐wave mixing in the light valve. At the end, a high‐sensitivity interferometer is presented as an example of slow light applications.
We present the nonlinear optical properties of liquid crystal light-valves and wave-mixing experiments from which slow-light effects are obtained. Group velocities as low as fractions of mm/s are achieved, the corresponding group index becoming very large. We show how this property that can be exploited to realize interferometric systems, for instance, an enhanced sensitivity Mach-Zehnder interferometer containing the light-valve as a slowlight medium is shown. Then, we present a common-path polarization interferometer based on the anisotropic character of the slow-light process occurring in the light-valve. Finally, we present a nonlinear optical cavity where a Doppler shift is introduced by the controlled displacement of one of the mirrors. Self-pulsing is obtained in the cavity due to the strongly dispersive response of the light-valve.
By performing two-beam coupling experiments in a liquid crystal light-valve, a large slow-light effect is obtained, with group velocity as slow as a few tenths of mm/s. According to the anisotropic character of the wave-mixing process in liquid crystals, the interactions are accompanied by different behaviors on the different polarization states, with high response to phase changes on the extraordinary wave and the ordinary wave traveling unaffected. Different types of enhanced sensitivity phase detection systems are realized based on the slow-light features of wave-mixing in light-valves, such as common-path polarization interferometers exploiting different polarization states, adaptive holography and nonlinear Sagnac detection.
By performing two-wave mixing experiments in a liquid-crystal light valve, optical pulses are slowed down to group velocities as slow as a few tenths of mm/s, corresponding to a very large group index. We present experiments and model of the slow-light process occurring in the liquid-crystal light valve, showing that this is characterized by multiple-beam diffraction in the Raman-Nath regime. Depending on the initial frequency detuning between pump and signal, the different output order beams are distinguished by different group delays. The group delay can be tuned by changing the main parameters of the experiment: the detuning between the pump and the input wave packet, the strength of the nonlinearity, and the intensity of the pump beam.