Interactions between self-accelerating beams in photorefractive media

Interactions of Airy beams in nonlinear media with fourth-order diffraction

We investigate to the best of our knowledge the first time the interactions of in-phase and out-of-phase Airy beams in Kerr, saturable and nonlocal nonlinear media with fourth-order diffraction using split-step Fourier transform method. Directly numerical simulations show that normal and anomalous fourth-order diffractions have profound effects on the interactions of the Airy beams in Kerr and saturable nonlinear media. We demonstrate the dynamics of the interactions in detail. In nonlocal media with fourth-order diffraction, nonlocality induces a long-range attractive force between Airy beams, leading to the formation of stable bound states of both in-phase and out-of-phase breathing Airy soliton pairs which are always repulsive in local media. Our results have potential applications in all-optical devices for communication and optical interconnects, etc.

Scattering analysis of two-dimensional Airy beams by typical non-spherical particles

The scattering of structured light beams by various particles is an important subject of research with myriad practical applications, such as the manipulation, measurement, and diagnosis of small particles. We carry out an analysis of the scattering of two-dimensional (2D) Airy beams by typical non-spherical particles. The electric and magnetic field vectors of the incident Airy beams are derived by introducing a vector potential in the Lorenz gauge. The scattered fields of the particles are obtained by utilizing the method of moments based on surface integral equations. Some numerical simulations for the scattering of 2D Airy beams by several selected non-spherical particles are performed and analyzed. Especially, a spheroidal particle is taken as an example, and the effects of various parameters describing the 2D Airy beams on its differential scattering cross section are examined. It is expected that this work will be helpful for understanding the interactions of 2D Airy beams with non-spherical particles and their further applications.

Localization of a Gaussian beam in an electrically tunable curved Airy channel in a paraelectric Mn:KLTN crystal

An optical Airy channel is built in a paraelectric Mn: KLTN crystal via a photo-induced Airy beam based on the photo-refractive effect. A laser beam, incident with the main lobe of the Airy channel, propagates along the Airy channel with a bias field as the control parameter. We find that the light beam is nicely confined in the Airy channel and propagates along it, presenting Airy-like properties of non-diffraction and bending action under a certain voltage range; then a breathing soliton can be formed with bias electric field rising, originating from space-charge-field-induced nonlocal refractive index perturbation. The experiment is corroborated by simulation. This Letter opens up new possibilities for fabricating an electrical engineering functional device, such as optical routing.

Vector wave analysis of Airy beams upon reflection and refraction

As a kind of typical self-accelerating laser beam, Airy beams have attracted much attention due to their fascinating properties and various potential applications. In this work, we carry out a full vector wave analysis of Airy beams upon reflection and refraction. A hybrid method based on the angular spectrum representation and vector potential in the Lorenz gauge is introduced to describe the vectorial structure of Airy beams upon reflection and refraction. The explicit analytical expressions for the electric and magnetic field components of arbitrarily incident Airy beams reflected and refracted at an air-medium interface are derived in detail. Local-field patterns and magnitude profiles with different parameters are displayed. The analytical formulas obtained in this work can be practically applied to explore the local dynamical characteristics, including the energy, momentum, spin, and orbital angular momentum of Airy beams upon reflection and refraction.

Spontaneous diametric-drive acceleration initiated by a single beam in a photonic lattice

We demonstrate that a single Gaussian-like beam can self-bend during nonlinear propagation in a uniform photonic lattice. The two components of the beam experiencing normal and anomalous diffractions spontaneously separate and form a pair in a diametric-drive acceleration due to nonlinear action. Such a diametric drive generally describes a jointly accelerating behavior of two beams analogous to positive- and negative-mass objects. The influences of the initial momentum of the input beam and the nonlinear strength are considered in this process. We further realize a self-bending propagation for a partially coherent light beam and discuss the impact of incoherence on the acceleration strength.

Anomalous interaction of Airy beams in the fractional nonlinear Schrödinger equation

We investigate the mutual interaction of two spatially-separated Airy beams in the nonlinear Schrödinger equation with the fractional Laplacian. Depending on the beam separation (d), relative phase and Lévy index (α), we observed an anomalous attraction or repulsion between the Airy beams. Anomalous attraction leads to a single breather soliton with a period that grows exponentially as α increases. In this region of the parameter space, we identify a crossover between two asymmetric regimes: as the Lévy index exceeds a critical value α _c, the period of breather soliton for d>0 is orders of magnitude larger than for d<0, while the opposite occurs as α<α _c. Our results reveal a novel scenario for Airy beams interaction in the framework of fractional nonlinear Schrödinger equation and provide an alternative mechanism to control breather soliton generation.