Visualization of internal energy flows in optical fields carrying a pair of fractional vortices

Singh, Brijesh Kumar; Mehta, Dalip Singh; Senthilkumaran, P.

doi:10.1080/09500340.2013.828790

Cited by 5 publications

(2 citation statements)

References 31 publications

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“…Vortex trajectories with the help of topological manifolds, leading to formation of knots, links, and loops, were studied [170,171,[178][179][180][181][182][183][184]. Other types of phase defects such as edge and mixed-type phase defects [32,34], anisotropic vortices [185], and perfect [76,[186][187][188][189][190][191][192][193][194] and fractional vortices came under study [195][196][197][198][199][200][201][202][203][204]. Some of the earliest optical elements capable of producing phase singularities were reported [58,59,61].…”

Section: Literature Survey Of Phase and Polarization Singularitiesmentioning

confidence: 99%

Phase Singularities to Polarization Singularities

Ruchi

Senthilkumaran

Pal

2020

International Journal of Optics

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Polarization singularities are superpositions of orbital angular momentum (OAM) states in orthogonal circular polarization basis. The intrinsic OAM of light beams arises due to the helical wavefronts of phase singularities. In phase singularities, circulating phase gradients and, in polarization singularities, circulating ϕ12 Stokes phase gradients are present. At the phase and polarization singularities, undefined quantities are the phase and ϕ12 Stokes phase, respectively. Conversion of circulating phase gradient into circulating Stokes phase gradient reveals the connection between phase (scalar) and polarization (vector) singularities. We demonstrate this by theoretically and experimentally generating polarization singularities using phase singularities. Furthermore, the relation between scalar fields and Stokes fields and the singularities in each of them is discussed. This paper is written as a tutorial-cum-review-type article keeping in mind the beginners and researchers in other areas, yet many of the concepts are given novel explanations by adopting different approaches from the available literature on this subject.

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Section: Literature Survey Of Phase and Polarization Singularitiesmentioning

confidence: 99%

Phase Singularities to Polarization Singularities

Ruchi

Senthilkumaran

Pal

2020

International Journal of Optics

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“…Diffraction through equilateral and isosceles right triangular apertures was also studied [10,11]. The angular plane wave spectrum method (ASM) has been applied to calculate the propagation properties of the fundamental Gaussian mode (FGM) [12,13], as well as to model the propagation of the optical vortex beam (OVB) [14][15][16][17][18][19]. KIM and LEE have derived the exact electric field vector formulas for the higher order HGBs and LGBs [20].…”

Section: Introductionmentioning

confidence: 99%

Far and near fields of Hermite–Gaussian beams passing through an annular aperture and its numerical simulation by the angular spectrum method

Talatinian

2023

Optica Applicata

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This research focuses on the analysis of the free propagation of Hermite–Gaussian beams diffracted by a symmetrical annular aperture placed at the beam waist plane. The propagation is studied analytically and numerically using the angular spectrum method and the 2D fast Fourier transformation. Numerical simulation examples illustrate the propagation characteristics of the Hermite–Gaussian beams diffracted by an annular aperture. The beam truncation parameters and obscuration ratio inﬂuence Hermite–Gaussian beam diffraction properties.

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The analysis of the laser beam shape of the fundamental Gaussian mode by testing the numerical angular spectrum technique

Talatinian

2019

Optics & Laser Technology

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Visualization of internal energy flows in optical fields carrying a pair of fractional vortices

Cited by 5 publications

References 31 publications

Phase Singularities to Polarization Singularities

Phase Singularities to Polarization Singularities

Far and near fields of Hermite–Gaussian beams passing through an annular aperture and its numerical simulation by the angular spectrum method

The analysis of the laser beam shape of the fundamental Gaussian mode by testing the numerical angular spectrum technique

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