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Optical vortices in waveguides with spatial dependence of the nonlinear refractive index

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Abstract

In the present work, the formation of optical vortex in waveguides, with spatial dependence of the nonlinear refractive index, is studied. The propagation of such type of laser pulses is governed by a system of amplitude equations for x and y components of the electrical field in which the effects of second-order dispersion and self-phase modulation are taken into account. The corresponding system of equations is solved analytically. New class of exact solutions, describing the generation of vortex structures in the optical fibers with spatial dependence of the nonlinear refractive index and anomalous dispersion, are found. These optical vortices admit only amplitude type singularities. Their stability is a result of the delicate balance between diffraction and nonlinearity, as well as nonlinearity and angular distribution. This kind of singularities can be observed as a depolarization of the vector field in the laser spot.

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Funding

The present work is supported by Bulgarian National Science Fund by grants KP-06-M48/1 and KP-06-H58/8.

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Authors and Affiliations

  1. Nonlinear and Fiber Optics, Institute of Electronics, Bulgarian Academy of Science, 72 Tzarigradcko Shossee, 1784, Sofia, Bulgaria

    Valeri Slavchev, Ivan Bozhikoliev, Aneliya Dakova & Kamen Kovachev

  2. Department of Medical Physics and Biophysics, Medical University-Plovdiv, 15 Vasil Aprilov Bul., 4002, Plovdiv, Bulgaria

    Valeri Slavchev

  3. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, 24 Tsar Asen Str., 4000, Plovdiv, Bulgaria

    Zhelyazko Zamanchev & Aneliya Dakova

  4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow, Russian Federation, 115409

    Anjan Biswas

  5. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

  6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, Pretoria, South Africa

    Anjan Biswas

  7. Department of Physics, Chemistry and Mathematics, Alabama A &M University, Normal, AL, 35762–4900, USA

    Anjan Biswas

  8. Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galat, 111 Domneasca Street, 800201, Galati, Romania

    Anjan Biswas

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  1. Valeri Slavchev
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  2. Ivan Bozhikoliev
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  3. Zhelyazko Zamanchev
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  4. Aneliya Dakova
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  5. Kamen Kovachev
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  6. Anjan Biswas
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Correspondence to Valeri Slavchev.

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This article is part of the Topical Collection on Photonics: Current Challenges and Emerging Applications.

Guest edited by Jelena Radovanovic, Dragan Indjin, Maja Nesic, Nikola Vukovic and Milena Milosevic.

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Slavchev, V., Bozhikoliev, I., Zamanchev, Z. et al. Optical vortices in waveguides with spatial dependence of the nonlinear refractive index. Opt Quant Electron 54, 346 (2022). https://doi.org/10.1007/s11082-022-03707-7

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