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Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform
Version 1
: Received: 16 February 2024 / Approved: 19 February 2024 / Online: 19 February 2024 (10:23:15 CET)
A peer-reviewed article of this Preprint also exists.
Grunwald, R.; Bock, M. Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform. Photonics 2024, 11, 296. Grunwald, R.; Bock, M. Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform. Photonics 2024, 11, 296.
Abstract
Recognition, decoding and tracking of vortex patterns is of increasing importance in many fields reaching from astronomical observation of distant galaxies to turbulence phenomena in liquids or gases. Currently, coherent light beams with orbital angular momentum (OAM) are of particular interest for optical communication, metrology, micro-machining or particle manipulation. One common task is to identify characteristic spiral patterns in pixelated intensity maps at real-world signal-to-noise ratios. Recently, Fast Fourier Transform (FFT) was applied to the quantitative analysis of spiral interference patterns of OAM beams. Our study considers this approach in more detail. It is demonstrated that specific information can be extracted by combining conformal mapping by polar transform with determining one- or two-dimensional angular frequency spectra either in spatially fixed or scanning mode. Results of proof-of-principle experiments are presented.
Keywords
Orbital momentum; polar mapping; Fast Fourier Transform; vortex beams; singular optics; structured light; beam characterization; mode sorting; topological charge; spiral recognition
Subject
Physical Sciences, Optics and Photonics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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