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      Review on fractional vortex beam

      1 , 2 , 1 , 1 , 1 , 1
      Nanophotonics
      Walter de Gruyter GmbH

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          Abstract

          As an indispensable complement to an integer vortex beam, the fractional vortex beam has unique physical properties such as radially notched intensity distribution, complex phase structure consisting of alternating charge vortex chains, and more sophisticated orbital angular momentum modulation dimension. In recent years, we have noticed that the fractional vortex beam was widely used for complex micro-particle manipulation in optical tweezers, improving communication capacity, controllable edge enhancement of image and quantum entanglement. Moreover, this has stimulated extensive research interest, including the deep digging of the phenomenon and physics based on different advanced beam sources and has led to a new research boom in micro/nano-optical devices. Here, we review the recent advances leading to theoretical models, propagation, generation, measurement, and applications of fractional vortex beams and consider the possible directions and challenges in the future.

          Most cited references191

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          Light propagation with phase discontinuities: generalized laws of reflection and refraction.

          Conventional optical components rely on gradual phase shifts accumulated during light propagation to shape light beams. New degrees of freedom are attained by introducing abrupt phase changes over the scale of the wavelength. A two-dimensional array of optical resonators with spatially varying phase response and subwavelength separation can imprint such phase discontinuities on propagating light as it traverses the interface between two media. Anomalous reflection and refraction phenomena are observed in this regime in optically thin arrays of metallic antennas on silicon with a linear phase variation along the interface, which are in excellent agreement with generalized laws derived from Fermat's principle. Phase discontinuities provide great flexibility in the design of light beams, as illustrated by the generation of optical vortices through use of planar designer metallic interfaces.
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            Entanglement of the orbital angular momentum states of photons.

            Entangled quantum states are not separable, regardless of the spatial separation of their components. This is a manifestation of an aspect of quantum mechanics known as quantum non-locality. An important consequence of this is that the measurement of the state of one particle in a two-particle entangled state defines the state of the second particle instantaneously, whereas neither particle possesses its own well-defined state before the measurement. Experimental realizations of entanglement have hitherto been restricted to two-state quantum systems, involving, for example, the two orthogonal polarization states of photons. Here we demonstrate entanglement involving the spatial modes of the electromagnetic field carrying orbital angular momentum. As these modes can be used to define an infinitely dimensional discrete Hilbert space, this approach provides a practical route to entanglement that involves many orthogonal quantum states, rather than just two Multi-dimensional entangled states could be of considerable importance in the field of quantum information, enabling, for example, more efficient use of communication channels in quantum cryptography.
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              Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes

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                Author and article information

                Contributors
                Journal
                Nanophotonics
                Walter de Gruyter GmbH
                2192-8614
                January 13 2022
                November 30 2021
                January 02 2022
                January 13 2022
                December 19 2021
                January 02 2022
                : 11
                : 2
                : 241-273
                Affiliations
                [1 ]School of Physical Science and Technology, Soochow University , Suzhou 215006 , China
                [2 ]School of Physics and Electronics, Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Devices, Shandong Normal University , Jinan 250014 , China
                Article
                10.1515/nanoph-2021-0616
                3a794266-e3dd-439e-bf21-4a78ffa45441
                © 2022

                http://creativecommons.org/licenses/by/4.0

                History

                Nanomaterials,Nanotechnology,Nanophysics,Industrial chemistry,Materials science
                Nanomaterials, Nanotechnology, Nanophysics, Industrial chemistry, Materials science

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