Propagation dynamics of Airy beams and nonlinear accelerating beams in biased photorefractive media with quadratic electro-optic effect

An investigation of propagation dynamics of Airy beams and nonlinear accelerating beams in biased photorefractive media with quadratic electro-optic effect is presented by means of numerical simulations. For linear Airy beams, it is found that single breathing soliton can be formed by adjusting the initial amplitude and the external bias electric field during the propagation of one Airy beam. The propagation direction of such soliton can be controlled by introducing a launch angle to the initial beam and it can propagate stably against small fluctuations. Interaction of two Airy beams shows that single breathing solitons and soliton pairs can be produced after collision and the external bias electric field has a big impact on their propagation. For nonlinear accelerating beams, because they have infinite energy, we truncate the oscillating tails to study the interaction of two in-phase and out-of-phase accelerating beams. The numerical results show that single solitons and soliton pairs can generate only within a certain range of external bias electric field.