The interference of the evanescent mode of two Airy beams in near field

Abstract

The exact analytical solution of the electric field of the Airy beam with a polarization in the x-direction is derived by the vector angular spectrum theory. And then, the evanescent interference of two symmetrically offset evanescent Airy beams is investigated by the angular spectrum theory in detail. Two separated Airy beams at the initial position will overlap and interfere due to the lateral self-acceleration. The y-axis interference field shows a superior stability and a slower decay compared to the x-axis. The interference optical field forms a spindle-shaped central optical field along the y-axis, and the intensity rapidly decays along the x-axis, and a small-scale scattered optical field is formed in the low-intensity regions on both sides. The result is useful to elucidating the formation mechanism and theoretical properties of the interference phenomenon of Airy beams.