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Kumar N, Arora A, Krishnan A. Single-shot generation of composite optical vortex beams using hybrid binary fork gratings. OPTICS EXPRESS 2021; 29:33703-33715. [PMID: 34809177 DOI: 10.1364/oe.437659] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2021] [Accepted: 09/05/2021] [Indexed: 06/13/2023]
Abstract
We design and experimentally demonstrate a simple, single-shot method for the generation of arbitrary composite vortex (CV) beams using hybrid binary fork gratings (hBFG). These gratings were computationally generated by removing the central region around the fork-dislocation of azimuthal charge ℓ1 and substituting it with a BFG of a different charge ℓ2. The geometrical parameters of hBFGs were optimized for the efficient generation of CV beams. The method was further extended to the generation of CV beams consisting of three different ℓ and of higher radial charges p. This simple generation method may be useful to generate complex beam shapes with engineered phase fronts without complicated interferometry based techniques.
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Mirror and Circular Symmetry of Autofocusing Beams. Symmetry (Basel) 2021. [DOI: 10.3390/sym13101794] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
This article demonstrates the crucial importance of the symmetrization method for the formation of autofocusing beams. It is possible to impart autofocusing properties to rather arbitrary distributions, for example, truncated and inverted classical modes (such as Hermite–Gaussian, Laguerre–Gaussian, and Bessel modes) or shift the fundamental Gaussian beam by inserting mirror or circular symmetry. The most convenient for controlling autofocusing characteristics is the truncated sinus function with a power-law argument dependence. In this case, superlinear chirp beams (with power q > 2) exhibit sudden and more abrupt autofocusing than sublinear chirp beams (with power 1 < q < 2). Comparison of the different beams’ propagation is performed using fractional Fourier transform, which allows obtaining the field distribution in any paraxial region (both in the Fresnel and Fraunhofer diffraction regions). The obtained results expand the capabilities of structured beams in various applications in optics and photonics.
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Fatkhiev DM, Butt MA, Grakhova EP, Kutluyarov RV, Stepanov IV, Kazanskiy NL, Khonina SN, Lyubopytov VS, Sultanov AK. Recent Advances in Generation and Detection of Orbital Angular Momentum Optical Beams-A Review. SENSORS (BASEL, SWITZERLAND) 2021; 21:4988. [PMID: 34372226 PMCID: PMC8347071 DOI: 10.3390/s21154988] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/01/2021] [Revised: 07/17/2021] [Accepted: 07/20/2021] [Indexed: 01/20/2023]
Abstract
Herein, we have discussed three major methods which have been generally employed for the generation of optical beams with orbital angular momentum (OAM). These methods include the practice of diffractive optics elements (DOEs), metasurfaces (MSs), and photonic integrated circuits (PICs) for the production of in-plane and out-of-plane OAM. This topic has been significantly evolved as a result; these three methods have been further implemented efficiently by different novel approaches which are discussed as well. Furthermore, development in the OAM detection techniques has also been presented. We have tried our best to bring novel and up-to-date information to the readers on this interesting and widely investigated topic.
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Affiliation(s)
- Denis M. Fatkhiev
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
| | - Muhammad A. Butt
- Department of Technical Cybernetics, Samara National Research University, 443086 Samara, Russia; (M.A.B.); (N.L.K.); (S.N.K.)
- Institute of Microelectronics and Optoelectronics, Warsaw University of Technology, 00-662 Warszawa, Poland
| | - Elizaveta P. Grakhova
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
| | - Ruslan V. Kutluyarov
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
| | - Ivan V. Stepanov
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
| | - Nikolay L. Kazanskiy
- Department of Technical Cybernetics, Samara National Research University, 443086 Samara, Russia; (M.A.B.); (N.L.K.); (S.N.K.)
- Image Processing Systems Institute Branch of the Federal Scientific Research Center “Crystallography and Photonics” of Russian Academy of Sciences, 443001 Samara, Russia
| | - Svetlana N. Khonina
- Department of Technical Cybernetics, Samara National Research University, 443086 Samara, Russia; (M.A.B.); (N.L.K.); (S.N.K.)
- Image Processing Systems Institute Branch of the Federal Scientific Research Center “Crystallography and Photonics” of Russian Academy of Sciences, 443001 Samara, Russia
| | - Vladimir S. Lyubopytov
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
- Center for Photonics and Quantum Materials, Skolkovo Institute of Science and Technology, 121205 Moscow, Russia;
| | - Albert K. Sultanov
- Telecommunication Systems Department, Ufa State Aviation Technical University, 450008 Ufa, Russia; (E.P.G.); (R.V.K.); (I.V.S.); (A.K.S.)
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Xiao N, Xie C, Jia E, Li J, Giust R, Courvoisier F, Hu M. Caustic Interpretation of the Abruptly Autofocusing Vortex beams. OPTICS EXPRESS 2021; 29:19975-19984. [PMID: 34266097 DOI: 10.1364/oe.430497] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2021] [Accepted: 06/03/2021] [Indexed: 06/13/2023]
Abstract
We propose an effective scheme to interpret the abruptly autofocusing vortex beam. In our scheme, a set of analytical formulae are deduced to well predict not only the global caustic, before and after the focal plane, but also the focusing properties of the abruptly autofocusing vortex beam, including the axial position as well as the diameter of focal ring. Our analytical results are in excellent agreement with both numerical simulation and experimental results. Besides, we apply our analytical technique to the fine manipulation of the focusing properties with a scaling factor. This set of methods would be beneficial to a broad range of applications such as particle trapping and micromachinings.
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