Aberration Laser Beams with Controlled Autofocusing, Self-healing and Intensity Distribution

We investigate the aberration laser beams (ALBs) with controlled autofocusing, self-healing and spatial intensity distribution, in free space as well as in turbulent media. ALBs are generated with a diffractive optical element, whose phase distribution consists of radial and periodic angular dependence. The ALBs possess autofocusing properties, and the autofocusing distance can be controlled by the parameters of ALB. The turbulence causes the beam to wander and deteriorates its spatial shape. However, the autofocusing properties remain invariant. Furthermore, we demonstrate that ALBs are capable of self-healing against the obstructions in free space as well as in turbulent media. The propagation distance needed for self-healing is found to be independent of amount of blocking, and maximum self-healing occurs at the autofocusing distance. Further, we show that by introducing asymmetry in the phase distribution of ALB, its intensity can be controlled precisely, which generates high-power densities.