Measuring the Orbital-Angular-Momentum Complex Spectrum of Light with the Fast Fourier Transform

Zhu, Jialong; Wu, Yihua; Wang, Le; Zhou, Hailong; Zhao, Shengmei

doi:10.1103/physrevapplied.20.014010

Cited by 2 publications

(2 citation statements)

References 35 publications

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“…In this case, background scattering of a Gaussian beam at a spatial light modulator (SLM) was used as a coherent reference wave to generate spiral-shaped interference patterns. A similar mathematical approach based on Fourier transform along circles has been utilized by other authors [40]. The extraction of radial and azimuthal information on modal oscillations was also demonstrated [41].…”

Section: Introductionmentioning

confidence: 91%

Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform

Grunwald,

Bock

2024

Photonics

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The recognition, decoding and tracking of vortex patterns is of increasing importance in many fields, ranging from the astronomical observations 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. A recently introduced combination of polar mapping and Fast Fourier Transform (FFT) was extended to novel sampling configurations and applied to the quantitative analysis of the spiral interference patterns of OAM beams. It is demonstrated that specific information on topological parameters in non-uniform arrays of OAM beams can be obtained from significantly distorted and noisy intensity maps by extracting one- or two-dimensional angular frequency spectra from single or concatenated circular cuts in either spatially fixed or scanning mode. The method also enables the evaluation of the quality of beam shaping and optical transmission. Results of proof-of-principle experiments are presented, resolution limits are discussed, and the potential for applications is addressed.

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Section: Introductionmentioning

confidence: 91%

Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform

Grunwald,

Bock

2024

Photonics

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“…In 1992, Allen et al demonstrated that each photon of the Laguerre-Gaussian(LG) vortex beam carries orbital angular momentum(OAM), which can provide an additional degree of freedom for information multiplexing due to its orthogonality and completeness. This sparked widespread interest of researchers in the vortex beams carrying OAM together with their transmission properties through turbulent media [6][7][8][9][10][11][12]. The correlated investigations indicate that utilizing vortex beam as source beam can effectively mitigate wavefront distortion and reduce turbulent interference.…”

Section: Introductionmentioning

confidence: 99%

The spiral phase spectrum of the composite power Gaussian vortex beam in plasma sheath turbulence

Chen,

Wang,

Qin

et al. 2023

Phys. Scr.

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This paper establishes an evolution model for the spiral phase spectrum of a composite power Gaussian (CPG) vortex beam in plasma sheath turbulence (PST) based on the Rytov approximation theory and the modified von Karman spectrum. The impact of various parameters, including turbulence and beam attributes, on the spiral phase spectrum of the CPG vortex beam in PST is investigated through numerical simulations. Our numerical results reveal that the spiral phase spectrum of beam exhibits asymmetry which modulated by the structural parameter. Meanwhile, the resistance of the CPG vortex beam against turbulence strengthens as the wavelength increases and the topological charge decreases. The findings also demonstrate that the spiral phase spectrum of the CPG vortex beam incorporates a broader range of modes in isotropic PST compared to anisotropic PST. Furthermore, the impact of PST on the beam is intensified with a higher refractive index undulation variance and a smaller outer scale parameter.

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Measuring the Orbital-Angular-Momentum Complex Spectrum of Light with the Fast Fourier Transform

Cited by 2 publications

References 35 publications

Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform

Characterization of Orbital Angular Momentum Beams by Polar Mapping and Fourier Transform

The spiral phase spectrum of the composite power Gaussian vortex beam in plasma sheath turbulence

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