Laguerre–Gauss beams versus Bessel beams showdown: peer comparison

Mendoza-Hernández, Job; Carrasco, M. L. Arroyo; Castillo, M. D. Iturbe; Chávez-Cerda, Sabino

doi:10.1364/ol.40.003739

Cited by 105 publications

(48 citation statements)

References 33 publications

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“…It has also been shown that optical information protocols may benefit from the radial degree of freedom [6 8]. The role played by the radial features of a light field within the classical picture has also been explored, for instance regarding its diffraction properties [9], but mainly in the context of the creation of pure LG modes. Contactless optical manipulation is another classical optics application example, where the super position of LG modes including at least one high order radial mode is used to create rotating beams [10,11] or so called bottle beams [12].…”

mentioning

confidence: 99%

Laguerre–Gaussian modal q-plates

Rafayelyan

Brasselet

2017

Opt. Lett.

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We propose space-variant uniaxial flat optical elements designed to generate pure Laguerre-Gaussian modes with arbitrary azimuthal and radial indices l and p from an incident Gaussian beam. This is done via the combined use of the dynamic and the geometric phases. Optimal design protocol for the mode conversion efficiency is derived, and the corresponding characteristics are given for -6≤l≤6 and 0≤p≤5. The obtained "modal q-plates" may find many applications whenever the radial degree of freedom of a light field is at play.

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confidence: 99%

Laguerre–Gaussian modal q-plates

Rafayelyan

Brasselet

2017

Opt. Lett.

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“…6. We also observe the behavior on Bessel beams with the same transverse section and spa- tial frequency for comparison, as in the work done by Mendoza-Hernández et al [42]. Figure 6(a) shows the LGB in the first row and Bessel beam (BB) in the second row, partially blocked.…”

Section: Experimental Generation Of Incoming and Outgoing Wavesmentioning

confidence: 54%

Structured light beams constituted of incoming and outgoing waves

et al. 2019

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In the present work, we demonstrate that structured light beams are constituted by two traveling waves which transverse components are in opposite directions, that is, incoming and outgoing from the axis of propagation. These waves result from the complex sum of the two fundamental solutions of the transverse component of the spatial wave equation. After a partial obstruction of the beam, the incoming and outgoing waves can be easily observed during the self-healing process, providing a simple explanation of the phenomenon. Incoming and outgoing waves in Laguerre-Gauss beams are investigated analytically, numerically and experimentally. The proposed way to describe light beams might offer new insights into the phenomenon of diffraction.

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“…6 (a). In comparison, the BG modes show resilience thanks to the multiple concentric rings [58]. LG 0 1 2…”

Section: Resultsmentioning

confidence: 99%

Self-healing high-dimensional quantum key distribution using hybrid spin-orbit Bessel states

et al. 2018

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Using spatial modes for quantum key distribution (QKD) has become highly topical due to their infinite dimensionality, promising high information capacity per photon. However, spatial distortions reduce the feasible secret key rates and compromise the security of a quantum channel. In an extreme form such a distortion might be a physical obstacle, impeding line-ofsight for free-space channels. Here, by controlling the radial degree of freedom of a photon's spatial mode, we are able to demonstrate hybrid high-dimensional QKD through obstacles with self-reconstructing single photons. We construct high-dimensional mutually unbiased bases using spin-orbit hybrid states that are radially modulated with a non-diffracting Bessel-Gaussian (BG) profile, and show secure transmission through partially obstructed quantum links. Using a prepare-measure protocol we report higher quantum state self-reconstruction and information retention for the non-diffracting BG modes as compared to Laguerre-Gaussian modes, obtaining a quantum bit error rate (QBER) that is up to 3× lower. This work highlights the importance of controlling the radial mode of single photons in quantum information processing and communication as well as the advantages of QKD with hybrid states.

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Laguerre–Gauss beams versus Bessel beams showdown: peer comparison

Cited by 105 publications

References 33 publications

Laguerre–Gaussian modal q-plates

Laguerre–Gaussian modal q-plates

Structured light beams constituted of incoming and outgoing waves

Self-healing high-dimensional quantum key distribution using hybrid spin-orbit Bessel states

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