Angular self-reconstruction of petal-like beams
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Updated: May 8, 2026

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
Published on: July 25, 2025
Igor A Litvin1, Liesl Burger, Andrew Forbes
1Council for Scientific and Industrial Research, Pretoria 0001, South Africa. ILitvin@csir.co.za
Abstract:
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.
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