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Generation of optical vortices by fractional derivative.

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Title: Generation of optical vortices by fractional derivative.
Authors: Preda, L.1 lily@physics.pub.ro
Source: Optics & Lasers in Engineering. Mar2014, Vol. 54, p42-48. 7p.
Subjects: Optical vortices, Fractional calculus, Gaussian distribution, Parameter estimation, Systems design, Optical pattern recognition
Abstract: Abstract: This paper presents a new method of vortex generation using two-dimensional fractional derivative. The characteristics of vortices obtained using this method from Gaussian and Hermite–Gauss distributions are presented. Changing the parameters of fractional derivative such as the fractional order, r, and the direction, θ, the positions of the vortex centers can be changed. The method can be used to design a filter for vortex generation. The analysis of an experimental vortex pattern using fractional derivative is also demonstrated. [Copyright &y& Elsevier]
Copyright of Optics & Lasers in Engineering is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 92515084
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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  Data: Generation of optical vortices by fractional derivative.
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  Data: <searchLink fieldCode="JN" term="%22Optics+%26+Lasers+in+Engineering%22">Optics & Lasers in Engineering</searchLink>. Mar2014, Vol. 54, p42-48. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Optical+vortices%22">Optical vortices</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+distribution%22">Gaussian distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Systems+design%22">Systems design</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+pattern+recognition%22">Optical pattern recognition</searchLink>
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  Data: Abstract: This paper presents a new method of vortex generation using two-dimensional fractional derivative. The characteristics of vortices obtained using this method from Gaussian and Hermite–Gauss distributions are presented. Changing the parameters of fractional derivative such as the fractional order, r, and the direction, θ, the positions of the vortex centers can be changed. The method can be used to design a filter for vortex generation. The analysis of an experimental vortex pattern using fractional derivative is also demonstrated. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Optics & Lasers in Engineering is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.optlaseng.2013.09.013
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 7
        StartPage: 42
    Subjects:
      – SubjectFull: Optical vortices
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Gaussian distribution
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Systems design
        Type: general
      – SubjectFull: Optical pattern recognition
        Type: general
    Titles:
      – TitleFull: Generation of optical vortices by fractional derivative.
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            – D: 01
              M: 03
              Text: Mar2014
              Type: published
              Y: 2014
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              Value: 54
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