Shaping soliton properties in Mathieu lattices.
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 the properties of ground-state and dipole-mode solitons, including their shape, stability, and transverse mobility.
Kartashov
Yaroslav V
YV
Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Barcelona, Spain. Yaroslav.Kartashov@icfo.es
Egorov
Alexey A
AA
Vysloukh
Victor A
VA
Torner
Lluis
L