Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects.

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Title: Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects.
Authors: Trusiak, Maciej1 m.trusiak@mchtr.pw.edu.pl, Styk, Adam1, Patorski, Krzysztof1
Source: Optics & Lasers in Engineering. Nov2018, Vol. 110, p100-112. 13p.
Subjects: Hilbert-Huang transform, Bessel functions, Demodulation, Diffraction patterns, Harmonic motion
Abstract: The Hilbert-Huang transform working principle is used to develop advanced single-frame and two-frame Bessel fringe pattern generation and demodulation algorithms especially tailored to enhance full-field vibration studies using time-averaged interferometry. The Bessel fringe pattern, named as the Besselogram, is understood as calculated amplitude modulation/contrast variation map of the time-averaged interferogram intensity distribution. Proposed Besselogram processing techniques are computationally fast and robust to fringe pattern imperfections and environmental disturbances encountered in interferometric studies of vibrating micro-objects. The advanced fast adaptive bidimensional empirical mode decomposition scheme is employed to filter interferograms, Bessel fringes and their phase maps. Reported Bessel fringe pattern analysis method possesses unique ability to determine both vibration phase and amplitude distribution maps from a single time-averaged interferogram. Comprehensive numerical simulations corroborate advantageous features of proposed methods. Experimental evaluation performed for two resonant modes of a silicon micro-membrane is enclosed for completeness of the analysis. [ABSTRACT FROM AUTHOR]
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.)
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  Data: Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects.
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  Data: <searchLink fieldCode="AR" term="%22Trusiak%2C+Maciej%22">Trusiak, Maciej</searchLink><relatesTo>1</relatesTo><i> m.trusiak@mchtr.pw.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Styk%2C+Adam%22">Styk, Adam</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Patorski%2C+Krzysztof%22">Patorski, Krzysztof</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Optics+%26+Lasers+in+Engineering%22">Optics & Lasers in Engineering</searchLink>. Nov2018, Vol. 110, p100-112. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Hilbert-Huang+transform%22">Hilbert-Huang transform</searchLink><br /><searchLink fieldCode="DE" term="%22Bessel+functions%22">Bessel functions</searchLink><br /><searchLink fieldCode="DE" term="%22Demodulation%22">Demodulation</searchLink><br /><searchLink fieldCode="DE" term="%22Diffraction+patterns%22">Diffraction patterns</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+motion%22">Harmonic motion</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The Hilbert-Huang transform working principle is used to develop advanced single-frame and two-frame Bessel fringe pattern generation and demodulation algorithms especially tailored to enhance full-field vibration studies using time-averaged interferometry. The Bessel fringe pattern, named as the Besselogram, is understood as calculated amplitude modulation/contrast variation map of the time-averaged interferogram intensity distribution. Proposed Besselogram processing techniques are computationally fast and robust to fringe pattern imperfections and environmental disturbances encountered in interferometric studies of vibrating micro-objects. The advanced fast adaptive bidimensional empirical mode decomposition scheme is employed to filter interferograms, Bessel fringes and their phase maps. Reported Bessel fringe pattern analysis method possesses unique ability to determine both vibration phase and amplitude distribution maps from a single time-averaged interferogram. Comprehensive numerical simulations corroborate advantageous features of proposed methods. Experimental evaluation performed for two resonant modes of a silicon micro-membrane is enclosed for completeness of the analysis. [ABSTRACT FROM AUTHOR]
– 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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      – Type: doi
        Value: 10.1016/j.optlaseng.2018.05.021
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 100
    Subjects:
      – SubjectFull: Hilbert-Huang transform
        Type: general
      – SubjectFull: Bessel functions
        Type: general
      – SubjectFull: Demodulation
        Type: general
      – SubjectFull: Diffraction patterns
        Type: general
      – SubjectFull: Harmonic motion
        Type: general
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      – TitleFull: Hilbert–Huang transform based advanced Bessel fringe generation and demodulation for full-field vibration studies of specular reflection micro-objects.
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            NameFull: Trusiak, Maciej
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            NameFull: Styk, Adam
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            NameFull: Patorski, Krzysztof
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            – D: 01
              M: 11
              Text: Nov2018
              Type: published
              Y: 2018
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              Value: 110
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