Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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