Effect of initial chirp on the dynamics of the optical beam in a medium with parabolic potential

Abstract

In the paper, based on the linear Schrodinger equation, we analytically investigate the effect of initial chirp on the dynamics of the optical beam in a medium with the parabolic potential. For the linear chirp, the results show that the linear chirp of beam can induce a periodically oscillating behavior, where the oscillating amplitude is proportional to the linear chirp parameter, and the beam’s peak and width are related to the depth of parabolic potential. For the quadratic chirp, the results show that the quadratic chirp of beam can induce a periodically breathing behavior and affect the evolution of beam’s peak and width.