Hilbert’s Hotel in polarization singularities

Wang, Yangyundou; Gbur, Greg

doi:10.1364/ol.42.005154

Cited by 22 publications

(17 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For instance, various OV arrays can be generated by coherent combining technology with digital control 210 . Infinite scalar and vector OV arrays can be realized in fractional OAM VBs 211,212 . On-demand multi-singularity VBs can be generated based on the appropriate combination of optical scattering and discrete rotational symmetries of optical isotropic masks 213 and can be electrically and optically controlled via anisotropic masks 214,215 .…”

Section: Progress In Vortex Generation Tuning and Manipulationmentioning

confidence: 99%

Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities

et al. 2019

View full text Add to dashboard Cite

Thirty years ago, Coullet et al. proposed that a special optical field exists in laser cavities bearing some analogy with the superfluid vortex. Since then, optical vortices have been widely studied, inspired by the hydrodynamics sharing similar mathematics. Akin to a fluid vortex with a central flow singularity, an optical vortex beam has a phase singularity with a certain topological charge, giving rise to a hollow intensity distribution. Such a beam with helical phase fronts and orbital angular momentum reveals a subtle connection between macroscopic physical optics and microscopic quantum optics. These amazing properties provide a new understanding of a wide range of optical and physical phenomena, including twisting photons, spin–orbital interactions, Bose–Einstein condensates, etc., while the associated technologies for manipulating optical vortices have become increasingly tunable and flexible. Hitherto, owing to these salient properties and optical manipulation technologies, tunable vortex beams have engendered tremendous advanced applications such as optical tweezers, high-order quantum entanglement, and nonlinear optics. This article reviews the recent progress in tunable vortex technologies along with their advanced applications.

show abstract

Section: Progress In Vortex Generation Tuning and Manipulationmentioning

confidence: 99%

Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities

et al. 2019

View full text Add to dashboard Cite

show abstract

“…The first work in which a subwavelength focal spot was experimentally obtained using radially polarized light was carried out in 2003 [ 6 ]. By carefully selecting the polarization of the focused light, it is possible to create compact focal spots [ 6 , 7 ], optical needles [ 8 , 9 , 10 , 11 ], light tunnels [ 12 , 13 ], optical chains [ 14 , 15 , 16 , 17 ], foci with a flat apex [ 18 , 19 , 20 ], lattice-like optical structures [ 21 ], magnetization spots and chains [ 22 , 23 , 24 , 25 ], polarization knots [ 26 ], Möbius strips [ 27 ], and the Hilbert hotel phenomenon [ 28 ], among other effects.…”

Section: Introductionmentioning

confidence: 99%

Minimal Focal Spot Size Measured Based on Intensity and Power Flow

Kotlyar

Stafeev

Zaitsev

2021

Sensors

View full text Add to dashboard Cite

It is shown, theoretically and numerically, that the distributions of the longitudinal energy flow for tightly focused light with circular and linear polarization are the same, and that the spot has circular symmetry. It is also shown that the longitudinal energy flows are equal for optical vortices with unit topological charge and with radial or azimuthal polarization. The focal spot has a minimum diameter (all other characteristics being equal), which is measured based on the intensity of an optical vortex with azimuthal polarization. The diameter of the focal spot calculated from the energy flow for light with circular or linear polarization is slightly larger (by a fraction of a percentage). The magnitude of the diameter based on the intensity plays a role in the interaction of light with matter, and the magnitude of the diameter based on the energy flux affects the resolution in optical microscopy which is crucial in sensorial applications.

show abstract

“…The typical representatives are the classical doughnutshaped Laguerre-Gaussian (LG) beams [11], [12]. Most recently, some peculiar OVBs with multiple vortices array [13]- [18], large fractional OAM [19], [20], and specially tailored profiles [21]- [29] other than the conventional doughnut-shaped LG beams are arousing great interest for exploiting novel theories and technologies. For instance, the Ince-Gaussian (IG) beams and helical-Ince-Gaussian (HIG) OVBs with hyperbolic or elliptical profile can be used in multi-particle manipulation [1], [13]- [15].…”

Section: Introductionmentioning

confidence: 99%

“…The Hermite-Laguerre-Gaussian (HLG) modes with an array of multiple singularities can be used to express mutual intensity evolution in closed form [16]- [18]. G. Gbur recently proposed an intriguing fractional OVB with singularities of transfinite numbers, physically realizing the peculiar mathematical description of Hilbert's Hotel paradox [19], [20]. L. Li et al recently proposed a method to generate arrays of vortices along arbitrary curvilinear arrangement such as circle, square, pentagram, etc.…”

Section: Introductionmentioning

confidence: 99%

Polygonal Vortex Beams

et al. 2018

View full text Add to dashboard Cite

We originally exploit the vortex beams with patterns of closed polygons [namely, polygonal vortex beams (PVBs)] generated by a quasi-frequency-degenerate (QFD) Yb:CALGO laser resonator with astigmatic transformation. The PVBs with peculiar patterns of triangular, square, and parallelogram shapes carrying large orbital angular momentums (OAMs) are theoretically investigated and experimentally obtained in the vicinity of the SU(2) degenerate states of laser resonator. The PVBs in QFD states are distinct from the vortex beams with patterns of isolated spots arrays located on the triangle-, square-, and parallelogram-shaped routes [namely, polygonal-spots-array vortex beams (PSA-VBs)] under normal SU(2) degenerate states. Beam profile shape of PVB or PSA-VB and OAM can be controlled by adjusting the cavity length and the position of pump spot. The simulated and experimental results validate the performance of our method to generate PVB, which is of great potential for developing applications such as particle trapping and manipulation.

show abstract

Hilbert’s Hotel in polarization singularities

Cited by 22 publications

References 10 publications

Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities

Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities

Minimal Focal Spot Size Measured Based on Intensity and Power Flow

Polygonal Vortex Beams

Contact Info

Product

Resources

About