Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Nonlinear Sciences > Pattern Formation and Solitons

arXiv:1010.3664 (nlin)
[Submitted on 18 Oct 2010]

Title:Azimuthons in weakly nonlinear waveguides of different symmetries

Authors:Yiqi Zhang, Stefan Skupin, Fabian Maucher, Arpa Galestian Pour, Keqing Lu, Wieslaw Królikowski
View PDF
Abstract: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.
Comments: 12 pages, 8 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)
Cite as: arXiv:1010.3664 [nlin.PS]
  (or arXiv:1010.3664v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.1010.3664
Journal reference: Opt. Express 18, 27846 (2010)
Related DOI: https://doi.org/10.1364/OE.18.027846

Submission history

From: Yiqi Zhang [view email]
[v1] Mon, 18 Oct 2010 17:51:49 UTC (726 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.PS
< prev   |   next >
new | recent | 2010-10
Change to browse by:
nlin
physics
physics.optics

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)