Three-dimensional optical vortices in nonlinear Bessel waveguides
Abstract
We explore the formation, stability, and propagation dynamics of light bullets carrying orbital angular momentum (vorticity) in Bessel-structured nonlinear graded-index waveguides. While these waves are prone to the collapse in uniform three-dimensional media, we demonstrate that their stabilization is provided by a squared-Bessel index profile in the plane orthogonal to the propagation direction, which may play the role of the waveguiding or antiwaveguiding potential. Different solution families are obtained, revealing a variety of power-vs.-propagation-constant diagrams, characterizing the coexistence of multiple families. We analyze the propagation dynamics in a wide experimentally accessible parameter range. Our results contribute to the understanding of nonlinear light localization in multidimensional settings and suggest new possibilities for using structured light in advanced photonic applications.
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BibTeX
@misc{sanchez2026threedimensional,
title = {{Three-dimensional optical vortices in nonlinear Bessel waveguides}},
author = {Carlos F. Sánchez and Humberto Michinel and Boris Malomed and Ángel Paredes and José R. Salgueiro},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28167},
eprint = {2608.28167},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28167},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Three-dimensional optical vortices in nonlinear Bessel waveguides
AU - Carlos F. Sánchez
AU - Humberto Michinel
AU - Boris Malomed
AU - Ángel Paredes
AU - José R. Salgueiro
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28167
UR - https://arxiv.org/abs/2608.28167
AB - We explore the formation, stability, and propagation dynamics of light bullets carrying orbital angular momentum (vorticity) in Bessel-structured nonlinear graded-index waveguides. While these waves are prone to the collapse in uniform three-dimensional media, we demonstrate that their stabilization is provided by a squared-Bessel index profile in the plane orthogonal to the propagation direction, which may play the role of the waveguiding or antiwaveguiding potential. Different solution families are obtained, revealing a variety of power-vs.-propagation-constant diagrams, characterizing the coexistence of multiple families. We analyze the propagation dynamics in a wide experimentally accessible parameter range. Our results contribute to the understanding of nonlinear light localization in multidimensional settings and suggest new possibilities for using structured light in advanced photonic applications.
ER -