We propose a reconstruction of vortex beams based on 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.
© 2010 Optical Society of America
Original Manuscript: December 14, 2009
Revised Manuscript: March 12, 2010
Manuscript Accepted: April 26, 2010
Published: June 10, 2010
Jaroslav Řeháček, Zdenek Hradil, Zdenek Bouchal, Andrei B. Klimov, Ioannes Rigas, and Luis L. Sánchez-Soto, "Nondiffracting beams for vortex tomography," Opt. Lett. 35, 2064-2066 (2010)