Fourier-Invariant Laguerre-Gaussian Beams With An Increased Central Spot

In this study, a new Laguerre-Gaussian (LG) beam, which intensity crosscut is unaltered up to scale while propagation, are proposed. The presented light beams do not retain their shape while propagation in free space, however, they show other interesting features. First of all, Fourier-invariance of these beams should be mentioned. Secondly, their dark central spot larger than that of ordinary beams. Moreover, the diameter of central area can be tuned by varying of the radial index of the associated Laguerre polynomial while the topological charge (TC) is unchanged. At last, these beams have autofocusing properties. The main advantage of these beams is the possibility of their use for optical micromanipulation without applying lenses for focusing.