Hollow sinh-Gaussian beams and their paraxial properties

A new mathematical model of dark-hollow beams, described as hollow sinh-Gaussian (HsG) beams, has been introduced. The intensity distributions of HsG beams are characterized by a single bright ring along the propagation whose size is determined by the order of beams; the shape of the ring can be con...

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Veröffentlicht in:Optics express 2012-04, Vol.20 (9), p.9682-9691
Hauptverfasser: Sun, Qiongge, Zhou, Keya, Fang, Guangyu, Zhang, Guoqiang, Liu, Zhengjun, Liu, Shutian
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container_issue 9
container_start_page 9682
container_title Optics express
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creator Sun, Qiongge
Zhou, Keya
Fang, Guangyu
Zhang, Guoqiang
Liu, Zhengjun
Liu, Shutian
description A new mathematical model of dark-hollow beams, described as hollow sinh-Gaussian (HsG) beams, has been introduced. The intensity distributions of HsG beams are characterized by a single bright ring along the propagation whose size is determined by the order of beams; the shape of the ring can be controlled by beam width and this leads to the elliptical HsG beams. Propagation characteristics of HsG beams through an ABCD optical system have been researched, they can be regarded as superposition of a series of Hypergeometric-Gaussian (HyGG) beams. As a numerical example, the propagation characteristics of HsG beams in free space have been demonstrated graphically.
doi_str_mv 10.1364/OE.20.009682
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subjects Computer Simulation
Light
Models, Theoretical
Scattering, Radiation
title Hollow sinh-Gaussian beams and their paraxial properties
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