Nondiffracting beams for vortex tomography

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.

3 pages. 2 eps figures. To appear in Optics Letters

References in corpus (4)

• Experimental test of uncertainty relations for quantum mechanics on a circle
• Minimum uncertainty measurements of angle and angular momentum
• Radon transform on the cylinder and tomography of a particle on the circle
• Full quantum reconstruction of vortex states

Cited by in corpus (2)

• Orbital angular momentum in phase space
• Orbital angular momentum from marginals of quadrature distributions