title: Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays.
abstract: We demonstrate that both the linear (diffraction) and the nonlinear dynamics of two-dimensional waveguide arrays are considerably more complex and versatile than their one-dimensional counterparts. The discrete diffraction properties of these arrays can be effectively altered, depending on the propagation Bloch k-vector within the first Brillouin zone of the lattice. In general, this diffraction behavior is anisotropic and therefore permits the existence of a new class of discrete elliptic solitons in the nonlinear regime.
authors.affiliation: School of Optics/Center for Research and Education in Optics and Lasers, University of Central Florida, Orlando, Florida 32816, USA.
authors.forename: Jared
authors.initials: J
authors.lastname: Hudock
authors.forename: Nikolaos K
authors.initials: NK
authors.lastname: Efremidis
authors.forename: Demetrios N
authors.initials: DN
authors.lastname: Christodoulides