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Proceedings Paper

Vortex solutions of vector nonlinear amplitude equations in optics
Author(s): I. Bozhikoliev; K. Kovachev; A. Dakova; V. Slavchev; D. Dakova; L. Kovachev
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Paper Abstract

Different kind of vortex structures of laser beam can be created by optical holograms and different optical masks. In the theory these vortices are solutions of the 2D scalar Leontovich equations. These solutions admit amplitude and phase singularities.

The main tack of this work is to investigate the possibility of formation of vortex structures for narrow-band optical pulses, propagating in Kerr-type media. The evolution of such type of laser pulses is governed by nonlinear vector system of amplitude equations in second approximation of the linear dispersion. We found new class of analytical solutions with vortex structures. The nonlinear dispersion relations obtained by these vortex solutions show that their stability is due not only to balance between diffraction and nonlinearity, but also to a balance between non-linearity and angular distribution.

Paper Details

Date Published: 29 January 2019
PDF: 7 pages
Proc. SPIE 11047, 20th International Conference and School on Quantum Electronics: Laser Physics and Applications, 110471C (29 January 2019); doi: 10.1117/12.2519026
Show Author Affiliations
I. Bozhikoliev, Plovdiv Univ. "Paisii Hilendarski" (Bulgaria)
K. Kovachev, Institute of Electronics (Bulgaria)
A. Dakova, Univ. of Plovdiv "Paisii Hilendarski" (Bulgaria)
Institute of Electronics (Bulgaria)
V. Slavchev, Institute of Electronics (Bulgaria)
Medical Univ. of Plovdiv (Bulgaria)
D. Dakova, Plovdiv Univ. "Paisii Hilendarski" (Bulgaria)
L. Kovachev, Institute of Electronics (Bulgaria)


Published in SPIE Proceedings Vol. 11047:
20th International Conference and School on Quantum Electronics: Laser Physics and Applications
Tanja N. Dreischuh; Latchezar A. Avramov, Editor(s)

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