Azimuthons in weakly nonlinear waveguides of different symmetries

We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically p...

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Bibliographic Details
Published in:arXiv.org 2010-10
Main Authors: Zhang, Yiqi, Skupin, Stefan, Maucher, Fabian, Arpa, Galestian Pour, Lu, Keqing, Królikowski, Wieslaw
Format: Article
Language:English
Subjects:
Circular waveguides
Computer simulation
Deformation mechanisms
Numerical prediction
Propagation
Rotation
Solitary waves
Wave propagation
Online Access:Get full text
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Summary:We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically predicted rotation frequency is in excellent agreement with numerical simulations. On the other hand, azimuthons in square waveguides may experience spatial deformation during propagation. Moreover, we show that there is a critical value for the modulation depth of azimuthons above which solitons just wobble back and forth, and below which they rotate continuously. We explain these dynamics using the concept of energy difference between different orientations of the azimuthon.
ISSN:2331-8422
DOI:10.48550/arxiv.1010.3664