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arXiv:1606.05010 · Physical Review Letters

Polarization Shaping for Control of Nonlinear Propagation

Frédéric Bouchard, Hugo Larocque, Alison M. Yao, Christopher Travis, Israel De Leon, Andrea Rubano, Ebrahim Karimi, Gian‐Luca Oppo, Robert W. Boyd

Published Dec 2, 2016• 118 citations
arXivHTMLPDF

Abstract

We study the nonlinear optical propagation of two different classes of light beams with space-varying polarization-radially symmetric vector beams and Poincaré beams with lemon and star topologies-in a rubidium vapor cell. Unlike Laguerre-Gauss and other types of beams that quickly experience instabilities, we observe that their propagation is not marked by beam breakup while still exhibiting traits such as nonlinear confinement and self-focusing. Our results suggest that, by tailoring the spatial structure of the polarization, the effects of nonlinear propagation can be effectively controlled. These findings provide a novel approach to transport high-power light beams in nonlinear media with controllable distortions to their spatial structure and polarization properties.

DOI
10.1103/physrevlett.117.233903

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Vector beams with spatially varying polarization distribution in the wavefront plane have received increasing attention in recent years. The manipulation of vector beams both in intensity and polarization distributions is highly desired and under development. In this work, we study the transmission property of vector beams through warm rubidium vapor and realize controllable transmission of vector beams based on atomic dichroism. By utilizing the linearly polarized beam and vector beams as the pump and probe beams in a pump–probe configuration, a spatially-dependent dichroism can be obtained, which leads to spatially varied absorption of the probe beam. The controllable intensity distribution of the probe beam, as a two-petal pattern, can rotate with the variation of the pump beam's polarization states. We experimentally demonstrate the mechanism of dichroism with linear polarization light and provide an explanation based on the optical pumping effect. Alternatively, the varying trend of the probe beam's intensity is also interpreted by utilizing the Jones matrix. Our results are thus beneficial for providing potential applications in optical manipulation in atomic ensembles.
The effect of self-focusing and defocusing of the optical beam, which is caused by the interaction between a strong light field and medium, plays an important role in nonlinear optics. The difference in the spatial structure of the strong control beam with orbital angular momentum (OAM) and the Gaussian mode will have different effects on self-focusing and defocusing, which has the potential for realizing the modulation of the self-focusing and the defocusing process of the probe light with OAM. In this work, we report the influence of the spatial structure of the control beam on the self-focusing and defocusing process of the probe beam in a hot rubidium vapor cell with a lambda-type configuration. Under the same experimental condition, the control beam with the Laguerre-Gaussian mode contributes more to self-defocusing, while the Gaussian mode promotes the defocusing effect. The result is promising for manipulating the optical beam with OAM.
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We report a tunable ring-shaped diffraction pattern via either nonlinear spatial self- or cross-phase modulation caused by the EIT-like effect in rubidium atomic vapor. During the propagation of an input Gaussian-profile beam, its output wavefront exhibits a ring-shaped diffraction pattern. Furthermore, the spot center can be tuned from dark to bright by varying individual experimental parameters, such as power, frequency detuning, the polarization state of the incident beams and atomic temperature, which makes the nonlinear phase shift evolve beyond 2π. In particular, the input intensity can be as low as 500 W m-2.