The recent proposal of optical induction for producing nonlinear photonic lattices has
revolutionized the study of nonlinear waves in waveguide arrays. In particular, it enabled the …

Motivated by recent experimental observations of anomalous diffraction in linear waveguide
array, we propose a novel model governing the propagation of an optical beam in a …

We introduce solitons supported by Bessel photonic lattices in cubic nonlinear media. We
show that the cylindrical geometry of the lattice, with several concentric rings, affords unique …

Dynamic localization is the suppression of the broadening of a charged-particle wave packet
as it moves along a periodic potential in an ac electric field,,. The same effect occurs for …

We investigate a class of optical mesh periodic structures that are discretized in both the
transverse and longitudinal directions. These networks are composed of waveguide arrays …

We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic
systems described by the nonlinear Schrödinger equation with a sinusoidal potential, such …

We show that the effective gauge field for photons provides a versatile platform for
controlling the flow of light. As an example we consider a photonic resonator lattice where …

We report the observation and characterization of position-space Bloch oscillations using
cold atoms in a tilted optical lattice. While momentum-space Bloch oscillations are a …

In this research paper, we investigate the effects of third-order dispersion and nonlinear
dispersion terms on soliton behavior for pure-cubic solitons in the absence of chromatic …

We report the first observation of oscillations of the electromagnetic field in an optical
superlattice based on porous silicon. These oscillations are an optical equivalent of well …