Nondiffracting beams for vortex tomography

TL;DR

This paper introduces a method for reconstructing vortex beams using quadratic transformations in orbital angular momentum, encoding information in Bessel-like nondiffracting beams, and measuring angular distributions to recover the Wigner function.

Contribution

It presents a novel approach for vortex beam tomography utilizing nondiffracting beams and quadratic transformations in orbital angular momentum.

Findings

Successful reconstruction of vortex beams demonstrated

Effective encoding in Bessel-like nondiffracting beams

Accurate Wigner function recovery achieved

Abstract

We propose a reconstruction of vortex beams based on the implementation of quadratic transformations in the orbital angular momentum. The information is encoded in a superposition of Bessel-like nondiffracting beams. The measurement of the angular probability distribution at different positions allows for the reconstruction of the Wigner function.