English

Shaping soliton properties in optical Mathieu lattices

Optics 2009-11-11 v1 Pattern Formation and Solitons

Abstract

We address basic properties and stability of two-dimensional solitons in photonic lattices induced by the nondiffracting Mathieu beams. Such lattices allow for smooth topological transformation of radially symmetric Bessel lattices into quasi-one-dimensional periodic ones. The transformation of lattice topology drastically affects properties of ground-state and dipole-mode solitons, including their shape, stability and transverse mobility.

Keywords

Cite

@article{arxiv.physics/0510132,
  title  = {Shaping soliton properties in optical Mathieu lattices},
  author = {Yaroslav V. Kartashov and Alexey A. Egorov and Victor A. Vysloukh and Lluis Torner},
  journal= {arXiv preprint arXiv:physics/0510132},
  year   = {2009}
}

Comments

14 pages, 4 figures, to appear in Optics Letters

R2 v1 2026-07-22T19:06:35.977Z