3D Optical Vortex Lattices

Ikonnikov, Denis A.; Myslivets, S. A.; Arkhipkin, V. G.; Vyunishev, A. M.

doi:10.1002/andp.202100114

Cited by 11 publications

(5 citation statements)

References 29 publications

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“…Since n + 1 > n, the TC of the field (2) at a distance z from the initial plane is equal to TC = n. The reason is that since in the superposition (11) Σpe ipϕ (p = 1, ..., n), the last term nexp(inϕ) has the maximum coefficient (beam power), and hence, the TC of this term 'wins' in the topological competition. It follows from Equation (15) that although the TC of the field (2) equals TC = n/2 in the initial plane, it becomes equal to TC = n during propagation of the field (2) in free space.…”

Section: Geometric Progression Of Ovs In the Fresnel Diffraction Zonementioning

confidence: 99%

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Geometric Progression of Optical Vortices

et al. 2022

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We study coaxial superpositions of Gaussian optical vortices described by a geometric progression. The topological charge (TC) is obtained for all variants of such superpositions. The TC can be either integer or half-integer in the initial plane. However, it always remains integer when the light field propagates in free space. In the general case, the geometric progression of optical vortices (GPOV) has three integer parameters and one real parameter, values which define its TC. The GPOV does not conserve its intensity structure during propagation in free space. However, the beam can have the intensity lobes whose number is equal to one of the family parameters. If the real GPOV parameter is equal to one, then all angular harmonics in the superposition are of the same energy. In this case, the TC of the superposition is equal to the order of the average angular harmonic in the progression. Thus, if the first angular harmonic in the progression has the TC of k and the last harmonic has the TC of n, then the TC of the entire superposition in the initial plane is equal to (n + k)/2, but the TC is equal to n during propagation. The experimental results on generating of the GPOVs by a spatial light modulator are in a good agreement with the simulation results.

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Section: Geometric Progression Of Ovs In the Fresnel Diffraction Zonementioning

confidence: 99%

“…In [14], an optical setup was proposed for generating of a 2D optical vortex lattice. In [15], a 3D optical vortex lattice was generated experimentally. Papers [16][17][18] were devoted to the application of OVs for trapping and rotating microscopic particles.…”

Section: Introductionmentioning

confidence: 99%

Geometric Progression of Optical Vortices

et al. 2022

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“…[4] At present, this effect finds more and more practical applications, for example, in photolithography, [5] microscopy, [6] visualization, [7] optical trapping and manipulation, [8,9] and other fields. The Talbot effect is observed in acoustics, [10] coherent, [11][12][13][14][15] nonlinear, [16,17] quantum, [18] and singular [4,19,20] optics. Usually, this effect is considered on one-dimensional (1D) or 2D periodic structures, having a limited spectrum of obtained configurations of the light field distribution.…”

Section: Introductionmentioning

confidence: 99%

Optical Texture Super‐Lattices Produced by Talbot Effect at Superimposed Gratings

et al. 2023

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Fresnel diffraction on periodic gratings results in a two‐dimensional periodic distribution of light intensity, also known as the Talbot effect. Here this approach is extended to the family of superimposed structures with translational symmetry, which consist of superposed spatial harmonics. The Talbot effect is demonstrated to be valid for superimposed gratings. The considered superimposed gratings provide a wide range of textures of optical super‐lattices. These texture super‐lattices represent a Talbot carpets with a complex motif, which can be varied by choosing structure parameters. These results provide a new functionality for structuring optical lattices and can find potential applications in a wide range of light–matter interactions.

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“…Spatial arrays of the OVs are of particular interest; they are promising for micromachining and structuring, [16] photolithography, [17,18] 2D optical trapping [19] and sorting, [20] and micromanipulation in biology and medicine. [21] A simple way of obtaining an OV array is either to irradiate a periodic grating by an OV [22,23] or to use a grating with a dislocation (the so-called fork-shaped structure). In both cases, the obtained vortices are equidistant from each other, since their positions are conditioned by specific diffraction orders and a respective value of the primary reciprocal lattice vector (RLV).…”

Section: Introductionmentioning

confidence: 99%

Synthesizing Structured Optical Vortices

2022

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A noniterative approach to generation of binary phase holograms is applied for synthesizing complex optical vortex arrays. This approach does not use inverse Fourier analysis and allows one to obtain arbitrary optical vortex arrays with specified topological charges, which cannot be obtained using conventional fork-shaped gratings. A topological charge of individual optical vortices generated using binary phase holograms can be specified at a given spatial frequency, so that the equidistant array of optical vortices can be generated via illuminating a hologram by a beam with the zero topological charge. The results of the calculation are consistent with the experimental data, including those of the interferometric measurements. The approach also makes it possible to synthesize superimposed optical vortices, where an optical field represents well-ordered circular arrays of optical singularities. An unusual behavior of phase dislocations in superimposed structures is found. For two optical vortices of same reciprocal lattice vectors, but different topological charges, spatial distribution of singularities are reconfigured in a such manner that a couple of concentric circular arrays of singularities appear. The proposed binary phase holograms offer new opportunities for synthesizing the complex optical vortex light fields, which can find light-matter interaction-based applications.

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3D Optical Vortex Lattices

Cited by 11 publications

References 29 publications

Geometric Progression of Optical Vortices

Geometric Progression of Optical Vortices

Optical Texture Super‐Lattices Produced by Talbot Effect at Superimposed Gratings

Synthesizing Structured Optical Vortices

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