Self-induced periodic interfering behavior of dual Airy beam in strongly nonlocal medium.

ABSTRACT

Based on a reduction of nonlocal nonlinear Schrödinger equation in strongly nonlocal regime, the linear Schrödinger equation with parabolic potential, analytical results describing the evolution of dual Airy beam are presented. The results show that the dual Airy beam in strongly nonlocal medium exhibits a periodic focusing and defocusing behavior, and forms the interference fringes between the focusing and defocusing positions. The analytical results are verified by numerically solving nonlocal nonlinear Schrödinger equation and shown to be reasonable when the characteristic response width is broader than the width of the dual Airy beam. Furthermore, the characteristics of the interference fringes induced by the dual Airy beam are also investigated in detail, and can be used for the measurement of the system parameters. In addition, we propose a scheme to generate dual Airy beam in strongly nonlocal medium.