Shaping soliton properties in optical Mathieu lattices

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

References in corpus (9)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Fundamental and vortex solitons in a two-dimensional optical lattice
• Spatial Solitons in Optically-Induced Gratings
• Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices
• Rotary solitons in Bessel photonic lattices
• Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices
• Soliton spiraling in optically-induced rotating Bessel lattices
• Reconfigurable soliton networks optically-induced by arrays of nondiffracting Bessel beams
• Reconfigurable directional couplers and junctions optically induced by nondiffracting Bessel beams

Cited by in corpus (6)

• Elliptic Vortices in Composite Mathieu Lattices
• Nonlinear optics and light localization in periodic photonic lattices
• Highly-asymmetric soliton complexes in parabolic optical lattices
• Solitons in spiraling Vogel lattices
• Stripe-like quasi-nondiffracting optical lattices
• Soliton shape and mobility control in optical lattices