Shaping soliton properties in optical Mathieu lattices
arXiv:physics/0510132 · doi:10.1364/OL.31.000238
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.
14 pages, 4 figures, to appear in Optics Letters