Topuzoski, Suzana

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Optical vortices in brief: introduction for experimentalists
(Springer Science and Business Media LLC, 2023-08-10)
Stoyanov, Lyubomir
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Paulus, Gerhard G.
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Dreischuh, Alexander
<jats:title>Abstract</jats:title><jats:p>In this review, starting with the essence of phase singularities (Sect. 1) and continuing with the methods for the generation of singular beams of different kind (Sect. 2), we concentrate on optical vortices (OVs), which are the only known purely two-dimensional dark beams carrying point phase singularities. We describe some methods to determine their topological charges (Sect. 3) and how to convert them, e.g., in the linear process of diffraction from a hologram with an encoded OV, as well as after nonlinear processes of cascaded four-wave mixing and of the non-perturbative process of high harmonic generation (Sect. 5). In Sect. 6, we describe a method based on singular optics for the generation of long-range Bessel-Gaussian beams. Particular attention is paid to the suppression of the interaction of pairs of OVs and to the generation of large arrays of hundreds of OVs on a common background beam in square-shaped and hexagonal OV lattices (Sect. 7). The rich possibilities for the controllable generation of ordered focal structures of bright peaks and the possible additional structuring of each peak with other singular beams are illustrated, as well as the mixing of such OV arrays. New experimental results, devoted to novel possibilities for generating rich structures composed by bright peaks in the artificial far field from OV lattices with high TCs, are also presented for the first time in this paper and discussed in detail in (Sect. 8). In the last section, we describe a new method for the generation of arrays of long-range Bessel–Gaussian beams (Sects. 9). Without any claim for completeness or comprehensiveness, we believe that this overview will present to reader at least some of the beauty of experimental singular optics in space and could serve as a valuable initial step in order to dig deeper into the field.</jats:p>
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Diffraction of (l,n)th mode Laguerre-Gaussian laser beam by a curved fork-shaped grating
(Taylor&Francis Group, 2020-06)
The transformation of (l,n)th mode Laguerre-Gaussian (LG) laser beam, in the process of its diffraction by a curved fork-shaped grating with topological charge p, is theoretically studied. The analytical solutions for the diffracted wave field amplitudes are derived in the Fresnel regime and in the back focal plane of a convergent lens. The zeroth-diffraction order is found as (l,n)th mode LG beam. The higher, (±m)th diffraction-order beam is described in the radial direction through a product of the Gauss-doughnut function by the double sum of hypergeometric Kummer functions. Its topological charge can be increased or reduced compared to that of the incident beam, or it can be equal to zero. The radial intensity distributions are plotted and compared to the corresponding ones valid when a fork-shaped grating is used. The results are specialized for the cases of incident LG beams of modes (l, n = 0), (l = 0,n) and (l = 0,n = 0) i.e. Gaussian mode.
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Transformation of a Laguerre-Gaussian LG(l,0) beam by the combination of axicon and fork-shaped grating
(American Institute of Physics, 2019-02-26)
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Far field diffraction of an optical vortex beam by a fork-shaped grating
(Elsevier BV, 2015-09)
Stoyanov, Lyubomir
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Stefanov, Ivan
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Janicijevic, Ljiljana
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Dreischuh, Alexander
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Generation of optical vortices with curved fork-shaped holograms
(Springer, 2016-02)
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Fresnel and Fraunhofer diffraction of a Gaussian laser beam by fork-shaped gratings
(The Optical Society, 2008-10-10)
Janicijevic, Ljiljana
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Gaussian laser beam transformation into an optical vortex beam by helical lens
(Informa UK Limited, 2016)
Janicijevic, Ljiljana
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Fresnel and Fraunhofer diffraction of (l,n)th-mode Laguerre-Gaussian laser beam by a fork-shaped grating
(Taylor&Francis Group, 2019-07)
We study theoretically the problem of diffraction of a Laguerre-Gaussian (LG) laser beam with radial mode number n and azimuthal mode number l, by a fork-shaped grating (FG) with integer topological charge (TC) p. The diffracted wave field amplitude and intensity are calculated at any distance behind the FG and in the back focal plane of a convergent lens. The zeroth diffraction order is obtained as an (l,n)th-mode LG beam. The higher, mth diffraction order beam is described in the radial direction through a product of the Gauss-doughnut function of order |l ± mp| by the finite sum of hypergeometric Kummer functions. It can be a vortex beam with increased or reduced TC compared to that of the incident beam, or it can be a non-vortex beam. The obtained results are specialized for two particular cases: when the incident LG beam is with zeroth radial mode number and azimuthal mode number l, and when the incident beam is with zeroth azimuthal mode number and radial mode number n. The presented research results can find interest in optical trapping experiments, fibre-optic multiplexing and quantum information processing.
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Fraunhofer diffraction of a Laguerre–Gaussian laser beam by fork-shaped grating
(Informa UK Limited, 2011-01-20)
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Janicijevic, Ljiljana
In this article we present a theoretical study for Fraunhofer diffraction of a Laguerre-Gaussian laser beam with zeroth radial mode number and azimuthal mode number l by diffractive grating with embedded fork-shaped dislocations of integer order p. Analytical expressions describing the diffracted wave field amplitude and intensity distributions in the Fourier plane are deduced and analyzed. They are also followed by the vortex radii expressions.
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Generation of multiple-vortex beams in the process of diffraction of cosine-Laguerre–Gaussian laser beam by the fork-shaped grating
(Elsevier BV, 2023-03)
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Janicijevic, Ljiljana

Topuzoski, Suzana

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