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Journal ArticleDOI

Model for an anomalous hollow beam and its paraxial propagation

Yangjian Cai
- 01 Nov 2007 - 
- Vol. 32, Iss: 21, pp 3179-3181
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TLDR
Based on the Collins integral formula, an analytical propagation formula for the anomalous hollow beam passing through a paraxial ABCD optical system is derived and the propagation properties in free space are studied graphically.
Abstract
A theoretical model is proposed to approximately describe an anomalous hollow beam of elliptical symmetry with an elliptical solid core, which was observed in experiment recently [Phys. Rev. Lett.94, 134802 (2005)]. Expressions for the propagation factor and effective beam spot size for the anomalous hollow beam are derived. Based on the Collins integral formula, an analytical propagation formula for the anomalous hollow beam passing through a paraxial ABCD optical system is derived. The propagation properties in free space are studied graphically.

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Citations
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Journal ArticleDOI

Nonparaxial propagation of a vectorial apertured off-axis anomalous hollow beam

TL;DR: Based on the vectorial Rayleigh-Sommerfeld integral formula and the complex Gaussian expansion of the hard-edge aperture function, an analytical propagation expression for a nonparaxial vectorial off-axis anomalous hollow beam (AHB) passing through a rectangular aperture is derived in this article.
Journal ArticleDOI

Study on propagation properties of a radially polarized partially coherent dark hollow beam through a high numerical aperture lens

TL;DR: In this paper, the authors investigated the tight focusing properties of radially polarized partially coherent dark hollow beam (DHB) through a high numerical aperture lens and showed that the optical intensity distribution in the focal region directly fluctuates due to small change in coherence length and high numerical angle of the focused DHB.
Journal ArticleDOI

Nonparaxial propagation properties of an anomalous hollow beam with orbital angular momentum

TL;DR: In this article, the analytical nonparaxial propagation formula of an anomalous hollow beam with orbital angular momentum (OAM) in free space is derived based on the generalized Raleigh-Sommerfeld diffraction integral.
Journal ArticleDOI

Arbitrary laser beam propagation in free space

TL;DR: In this article, the received field through the propagation in free space is found by superposing the contributions from all source incremental areas, and the proposed method enables us to evaluate the received intensity originating from any type of source field.
Journal ArticleDOI

Near field propagation of hollow higher-order cosh-Gaussian beam in jet engine induced turbulence

Mert Bayraktar
- 28 Jun 2022 - 
TL;DR: In this paper , a special form of Huygens-Fresnel integral is solved in order to find averaged received intensity, since beam shows rapidly focusing behavior, intensity profile is analyzed for short propagation distances.
References
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Journal ArticleDOI

Generation of optical phase singularities by computer-generated holograms.

TL;DR: Laser beams that contain phase singularities can be generated with computer-generated holograms, which in the simplest case have the form of spiral Fresnel zone plates.
Journal ArticleDOI

Lens-System Diffraction Integral Written in Terms of Matrix Optics

TL;DR: In this paper, a diffraction integral is derived which relates the electromagnetic fields on the input plane of a lens system to those on its output plane, which indicates a connection between ray optics and diffraction theory.
Journal ArticleDOI

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.
Journal ArticleDOI

Novel Optical Trap of Atoms with a Doughnut Beam

TL;DR: In this article, a Laguerre-Gaussian (doughnut) beam whose frequency is blue detuned to the atomic transition was used to trap neutral atoms in the dark core of the doughnut beam with the help of two additional laser beams.
Proceedings ArticleDOI

New developments in laser resonators

TL;DR: In this paper, the authors describe three recent developments not so much in laser resonators themselves as in the tools for analyzing and measuring the quality of laser beams and resonators, which include personal computer programs for analyzing laser beam and resonator properties, a new method for characterizing and measuring beam quality of a laser output beam, and a new "ray-pulse" method of analysis for describing beams.
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