Study of Self-healing Behavior for Airy Beams in Atmospheric Turbulence

Abstract The Airy beam shows its peculiar property of self-healing which attracts lots of attentions to do the researches about the higher dimensional nondiffraction beams which can apply to lots of aspects to doing researches. We demonstrate the self-healing property of Airy beam which displays similar profiles both in weak and strong turbulence in atmosphere. Highly similarity has been shown when the propagation distance is not very long. The self-healing exhibits its own profile in strong turbulence and stability in weak turbulence respectively with the longer propagation distance. However, the variation of exponential truncation factors and the transverse scales would not change the conclusion that the self-healing property would vanish at the same propagation distance both in weak and strong turbulence. It means that they would reach zero intensity plane with the same self-healing critical distance z s and would not entirely disappear until reach the same disappearance critical distance z d . This study provide a method to enhance the self-healing property of Airy beams.