Review on fractional vortex beam

Zhang, Hao; Zeng, Jun; Lu, Xingyuan; Wang, Zhuoyi; Chen, Zhao; Cai, Yangjian

doi:10.1515/nanoph-2021-0616

Cited by 99 publications

(32 citation statements)

References 191 publications

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“…Remarkable efforts are being applied to studies of the PSs dynamics in non-linear media [115,116] and, more generally, to identification of mechanisms determining the evolution of nongeneric singularities into stable generic systems. Particularly, the PS analogs of the "fractional optical vortex" [17] reveal interesting and fundamental mathematical attributes of their "life" [117].…”

Section: Discussionmentioning

confidence: 99%

Polarization singularities: Topological and dynamical aspects

et al. 2023

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The review describes general principles and characteristics of inhomogeneously polarized paraxial optical fields and, especially, the polarization singularities (PSs). Main parameters of the optical vector waves are discussed, with the emphasis on the physical relevance and topological distinctiveness of the PSs. Special features of the stochastic vector fields are considered in the context of the PSs’ genericity and structural stability. A detailed attention is paid to interrelations between the PSs and the phase singularities of scalar fields formed by the orthogonal polarization projections of the total field, and their derivatives (complex Stokes fields, phase-difference fields, etc.). On this base, the practical approaches are discussed for the experimental PS identification and characterization. A particular examination of the internal energy flows associated with the PSs, and accompanying distributions of the optical momentum and angular momentum, reveals meaningful dynamical features of PSs and supplies additional physically transparent and informative means for their studies and characterization.

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Section: Discussionmentioning

confidence: 99%

Polarization singularities: Topological and dynamical aspects

et al. 2023

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“…In the standard symmetric vortex of unitary charge, the OAM per particle is unitary as well, while if the core is offaxis, also leading to asymmetric shapes, the OAM per particle can be fractional 7,42,43 . It is therefore interesting to find what is the OAM per particle in our structured case, that not only displays offset vortex cores but also spiral patterns, that are furthermore reshaping in time.…”

Section: Orbital Angular Momentum Oscillationsmentioning

confidence: 99%

Topologically driven Rabi-oscillating interference dislocation

Rahmani¹,

Colas²,

Воронова³

et al. 2022

Preprint

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Quantum vortices are the quantized version of classical vortices. Their center is a phase singularity or vortex core around which the flow of particles as a whole circulates and is typical in superfluids, condensates and optical fields. However, the exploration of the motion of the phase singularities in coherently-coupled systems is still underway. We theoretically analyze the propagation of an interference dislocation in the regime of strong coupling between light and matter, with strong mass imbalance, corresponding to the case of microcavity exciton-polaritons. To this end, we utilize combinations of vortex and tightly focused Gaussian beams, which are introduced through resonant pulsed pumping. We show that a dislocation originates from self-interference fringes, due to the non-parabolic dispersion of polaritons combined with moving Rabi-oscillating vortices. The morphology of singularities is analyzed in the Poincaré space for the pseudospin associated to the polariton states. The resulting beam carries orbital angular momentum with decaying oscillations due to the loss of overlap between the normal modes of the polariton system.

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“…A complete list of all the work carried out on fractional and non-integer vortex beams can be found in a recent review conducted by Zhang et al [13].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Fractional Vortex Beams at Fraunhofer Diffraction Zone

et al. 2022

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Fractional vortex beams (FVBs) possess unique topological properties that are manifested in the vortex distribution. However, there are still discrepancies in the value of the vortex strength of FVBs at the far field. In this work we present a complete picture of the behavior of the phase singularities of non-integer (commonly known as fractional) beams in the Fraunhofer diffraction region and demonstrate a very good correspondence between experiments and simulations. As shown in the text, the original beam waist ω0 was found to be a key factor relating to the beam profile topology. This variable was measured in the process of calibrating the experiment. Finally, an experimental method to obtain the non-integer topological charge is proposed. This method only requires an analysis of the intensity, knowledge of the transition behaviors, and the beam waist.

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Review on fractional vortex beam

Cited by 99 publications

References 191 publications

Polarization singularities: Topological and dynamical aspects

Polarization singularities: Topological and dynamical aspects

Topologically driven Rabi-oscillating interference dislocation

Dynamics of Fractional Vortex Beams at Fraunhofer Diffraction Zone

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