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Generation of ring-shaped optical vortices in dissipative media by inhomogeneous effective diffusion

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Abstract

By means of systematic simulations, we demonstrate generation of a variety of ring-shaped optical vortices (OVs) from a two-dimensional input with embedded vorticity, in a dissipative medium modeled by the cubic–quintic complex Ginzburg–Landau equation with an inhomogeneous effective diffusion (spatial filtering) term, which is anisotropic in the transverse plane and periodically modulated in the longitudinal direction. We show the generation of stable square- and gear-shaped OVs, as well as tilted oval-shaped vortex rings, and string-shaped bound states built of a central fundamental soliton and two vortex satellites, or of three fundamental solitons. Their shape can be adjusted by tuning the strength and modulation period of the inhomogeneous diffusion. Stability domains of the generated OVs are identified by varying the vorticity of the input and parameters of the inhomogeneous diffusion. The results suggest a method to generate new types of ring-shaped OVs with applications to the work with structured light.

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Acknowledgements

This work was supported by the National Natural Science Foundations of China (Grant Nos. 11174061, 61675001, and 11774068), the Guangdong Province Nature Foundation of China (Grant No. 2017A030311025), and the Guangdong Province Education Department Foundation of China (Grant No. 2014KZDXM059). We declare that we do not have any conflict of interest in connection with the present work.

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Authors and Affiliations

  1. School of Photoelectric Engineering, Guangdong Polytechnic Normal University, Guangzhou, 510665, China

    Shiquan Lai, Huishan Li, Yunli Qui & Yingji He

  2. Department of Physics and Information Engineering, Guangdong University of Education, Guangzhou, 510303, China

    Xing Zhu

  3. Horia Hulubei National Institute for Physics and Nuclear Engineering, P.O. Box MG-6, 077125, Bucharest, Magurele, Romania

    Dumitru Mihalache

  4. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, 69978, Tel Aviv, Israel

    Boris A. Malomed

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  1. Shiquan Lai
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  2. Huishan Li
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Lai, S., Li, H., Qui, Y. et al. Generation of ring-shaped optical vortices in dissipative media by inhomogeneous effective diffusion. Nonlinear Dyn 93, 2159–2168 (2018). https://doi.org/10.1007/s11071-018-4316-9

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