The self-reconstruction of superpositions of Laguerre–Gaussian (LG) beams has been observed experimentally, but the results appear anomalous and without a means to predict under what conditions this take place. In this Letter, we offer a simple equation for predicting the self-reconstruction distance of superpositions of LG beams, which we confirm by numerical propagation as well as by experiment. We explain that the self-reconstruction process is not guaranteed and predict its dependence on the obstacle location and obstacle size.
© 2013 Optical Society of America
Lasers and Laser Optics
Original Manuscript: June 25, 2013
Revised Manuscript: July 25, 2013
Manuscript Accepted: August 4, 2013
Published: August 26, 2013
Igor A. Litvin, Liesl Burger, and Andrew Forbes, "Angular self-reconstruction of petal-like beams," Opt. Lett. 38, 3363-3365 (2013)