Holographic shaping of generalized self-reconstructing light beams

Bessel beams are an example of self-reconstructing (or self-healing) light beams. This property is useful in optical tweezers. Here we modify the Curtis-Koss-Grier algorithm J.E. Curtis, B.A. Koss, D.G. Grier, Opt. Commun. 207 (2002) 169], which is frequently used in optical tweezers, to utilize the Fourier-space properties of such light beams for the construction of arbitrary self-reconstructing light beams. We demonstrate the performance of this algorithm using numerical simulations.