Polarization singularities in superposition of vector beams

Vyas, Sunil; Kozawa, Yuichi; Sato, Shunichi

doi:10.1364/oe.21.008972

Cited by 104 publications

(46 citation statements)

References 43 publications

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“…For all the polarization field components, OAM amounts ±l⁄ per photon [1,2]. In spite of the use of elegant rather than standard LG beams, the paraxial parts of the solution (20), (21), (22) and (23) correspond to the compositions of the paraxial solutions (I)-(IV) presented in [8] for standard LG beams.…”

Section: Vortex Composition Of Two Co-axial Vector Elg Beamsmentioning

confidence: 99%

“…For these reasons, spatial structures of vector beams are recently under intense study. In particular, complex structures of paraxial vector Laguerre-Gaussian (LG) beams and their superpositions were analyzed and interrelations between their polarization and field vortex structures were indicated [4][5][6][7][8]. However, for beams of transverse diameters close to a wavelength or for pulses of duration close to one cycle, paraxial description of them is no longer adequate and exact beam representations governed by a full set of Maxwell's equations should be implemented instead.…”

Section: Introductionmentioning

confidence: 99%

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Vortex and anti-vortex compositions of exact elegant Laguerre–Gaussian vector beams

Nasalski

2014

Appl. Phys. B

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Reformulation of conventional beam definitions into their bidirectional versions and use of Hertz potentials make beam fields exact vector solutions to Maxwell's equations. This procedure is applied to higherorder elegant Laguerre-Gaussian beams of transverse magnetic and transverse electric polarization. Their vortex and anti-vortex co-axial compositions of equal and opposite topological charges are given in a closed analytic form. Polarization components of the composed beams are specified by their radial and azimuthal indices. The longitudinal components are common for beam compositions of both types; meanwhile, their transverse components are different and comprise two-nonparaxial and paraxialseparate parts distinguished by a paraxial parameter and its inverse, respectively. The new solutions may appear useful in modeling and tailoring of arbitrary vector beams.

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Section: Vortex Composition Of Two Co-axial Vector Elg Beamsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vortex and anti-vortex compositions of exact elegant Laguerre–Gaussian vector beams

Nasalski

2014

Appl. Phys. B

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“…The center point of the Gaussian beam is taken as the origin of the coordinates, and the displacement direction of the polarization singularity is set as x 0 axis to simplify the expression since the HCVB has axial symmetry. According to the mathematical expression of the HCVB [23][24][25][26], the electric field of the OHCVB in the initial plane (z 0) can be expressed as…”

Section: Theorymentioning

confidence: 99%

Propagation evolution of an off-axis high-order cylindrical vector beam

Zhu

Wang

et al. 2014

J. Opt. Soc. Am. A

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The propagation characteristics of an off-axis high-order cylindrical vector beam (OHCVB) are studied in this paper. The analytic expressions for the electric field and intensity distribution of the OHCVB propagating in free space are presented, to our knowledge for the first time. The transverse intensity of the OHCVB, different from that of the input Gaussian beam, does not have an axially symmetric distribution, owing to a slight dislocation between the polarization singularity located in the vector field generator and the center point of the Gaussian beam. Numerical results show that the intensity distribution during propagation strongly depends on the propagation distance, dislocation displacement, and topological charge. Accompanied by beam expansion, the intensity distribution of the OHCVB tends to eventually become steady, and the dark core of the vector beam will disappear gradually during the process of propagation. Moreover, with the increase of the topological charge, more energy will be transferred from the x axis to the y axis, and the annular intensity is split into two parts along the y-axis direction. The results help us to investigate the dynamic propagation behaviors of the HCVB under the off-axis condition and also guide the calibration of the off-axis high-order cylindrical vector field in practice.

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“…Additionally, V‐points occure in tailored light as linearly polarized vector beams or elliptically polarized ellipse fields, representing subclasses of polarization structured fields also referred to as Poincaré beams . V‐points are undefined with respect to their polarization and inherently unstable due to their co‐dimension four …”

Section: Introductionmentioning

confidence: 99%

“…In the past, the analysis of even simple, classical polarization structures, realized by e.g. q‐plates, the superposition of off‐axis optical vortices with orthogonal polarization, or superimposed cylindrical vector beams, proved a great variety of complex, three‐dimensional polarization and singularity topologies. Moreover, it was demonstrated that singularity evolution can be affected by e.g.…”

Section: Introductionmentioning

confidence: 99%

Polarization Singularity Explosions in Tailored Light Fields

Otte

Alpmann

Denz

2018

Laser & Photonics Reviews

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Complex propagation dynamics of higher‐order polarization singularities are investigated within tailored Poincaré beams. Spatial polarization modulation and additional phase vortices of higher strength are combined, evoking polarization singularity splitting, type conversion, creation and annihilation. These phenomena form singularity “explosions” along their longitudinal evolution. These dynamics of propagating customized light fields and embedded singularities are analyzed experimentally and numerically. Furthermore, similarities of polarization singularity explosion and phase vortex unfolding are discussed, exploring fundamental propagation and spatio‐temporal interaction properties of optical singularities.

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Polarization singularities in superposition of vector beams

Cited by 104 publications

References 43 publications

Vortex and anti-vortex compositions of exact elegant Laguerre–Gaussian vector beams

Vortex and anti-vortex compositions of exact elegant Laguerre–Gaussian vector beams

Propagation evolution of an off-axis high-order cylindrical vector beam

Polarization Singularity Explosions in Tailored Light Fields

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