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Propagation of Bessel beams carrying optical vortices

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TLDR
In this paper, the variation of the vorticity of the superposition of two Bessel singular beams under free-space propagation is analyzed, and it is shown that in the near field the combined beam creates light pattern with much richer vortex content than that of individual beams.
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This article is published in Optics Communications.The article was published on 2002-08-01. It has received 69 citations till now. The article focuses on the topics: Optical vortex & Beam (structure).

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Citations
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Visible-Frequency Metasurface for Structuring and Spatially Multiplexing Optical Vortices.

TL;DR: A multifocus optical vortex metalens, with enhanced signal-to-noise ratio, is presented, which focuses three longitudinal vortices with distinct topological charges at different focal planes for circularly polarized light in a compact device.
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Nondiffracting vortex beams with continuous orbital angular momentum order dependence

TL;DR: In this paper, a new class of fractional vortex beams that connect Bessel beams of successive order in a smooth transition is introduced, which preserve the same non-iffracting feature of Bessel-Gauss beams of integer order, and their orbital angular momentum per photon can take any value in a continuous range.
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Poynting vector and orbital angular momentum density of superpositions of Bessel beams

TL;DR: The theory is demonstrated by creating superpositions of non-diffracting Bessel beams with digital holograms, and it is found that the OAM distribution in the superposition field matches the predicted values.
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Optical vortices in focal regions

TL;DR: In this article, the Debye approximation was used to study how scalar vortices give rise to different intensity structures in the focal region for a certain class of apertures.
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Generation of self-imaged optical bottle beams

TL;DR: In this paper, a self-imaged optical bottle beam is generated by interfering two Bessel beams with varying radial propagation constant or radial frequency, where the optical bottle beams have on-axis intensity minima along the propagation direction surrounded with regions of higher intensity.
References
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Journal ArticleDOI

Exact solutions for nondiffracting beams. I. The scalar theory

TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
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Dislocations in wave trains

TL;DR: In this paper, it was shown that dislocations are to be expected whenever limited trains of waves, ultimately derived from the same oscillator, travel in different directions and interfere -for example in a scattering problem.
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Bessel-Gauss beams

TL;DR: In this paper, a new type of solution of the paraxial wave equation is presented, which encompasses as limiting cases both the diffraction-free beam and the gaussian beam.
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Generation of high-order Bessel beams by use of an axicon

TL;DR: In this paper, the authors demonstrate and analyse a method for efficiently generating a high-order Bessel beam of arbitrary order by illuminating an axicon with the appropriate Laguerre-Gaussian light beam.
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Realization of general nondiffracting beams with computer-generated holograms

TL;DR: This work shows by the method of stationary phase that any of these wave fields can be realized approximately with a laser and a single computer-generated hologram, and demonstrates experimentally the formation of arbitrary-order Bessel beams and rotationally nonsymmetric beams.
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