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Vortex structures in optical fibers with spatial dependence of the refractive index

A. DAKOVA1,2,* , D. DAKOVA1, V. SLAVCHEV2,3, N. LIKOV1, L. KOVACHEV2

Affiliation

  1. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, 24 Tsar Asen Str., 4000 Plovdiv, Bulgaria
  2. Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko shossee, 1784 Sofia, Bulgaria
  3. Faculty of Pharmacy, Medical University - Plovdiv, Bul. Vasil Aprilov 15-А, 4002 Plovdiv, Bulgaria

Abstract

It is well-known that vortex structures of laser beam can be created by different optical masks and holograms. These vortices are solutions of the 2D scalar Leontovich equations and admit amplitude and phase singularities. The main idea of present work is to investigate the formation of vortex structures for optical pulses, evolving in dispersive Kerr-type nonlinear medium with spatial dependence of the refractive index. The propagation of such type of laser pulses is governed by nonlinear vector system of amplitude equations. We found new class of analytical solutions with vortex structures for concave gradient fibers. Their stability is a result of the balance between diffraction and nonlinearity, as well as the balance between nonlinearity and angular distribution..

Keywords

Optical vortex structures, Vector spatio-temporal amplitude equations, Concave gradient fibers.

Submitted at: May 21, 2019
Accepted at: Aug. 20, 2019

Citation

A. DAKOVA, D. DAKOVA, V. SLAVCHEV, N. LIKOV, L. KOVACHEV, Vortex structures in optical fibers with spatial dependence of the refractive index, Journal of Optoelectronics and Advanced Materials Vol. 21, Iss. 7-8, pp. 492-498 (2019)