Parametric Characterization of Truncated Circular Flattened Gaussian Beams

Redouane Lamsoudi; Mohammed Ibn Chaikh

doi:doi:10.11648/j.ajop.20150301.11

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Parametric Characterization of Truncated Circular Flattened Gaussian Beams

Redouane Lamsoudi, Mohammed Ibn Chaikh

Received: 27 May 2015 Accepted: 15 June 2015 Published: 2 July 2015

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Abstract

Based on the truncated second-order moments definition, the generalized factor of the circular flattened Gaussian beams (CFGB) in the cylindrical coordinate system through a hard-edged circular aperture is derived. Three special cases have been obtained from the closed-form expression for the generalized factor of the truncated CFGB, the non-truncated CFGB, the truncated and non-truncated Gaussian beams. The power fraction of the CFGB is calculated analytically and illustrated numerically.

DOI	10.11648/j.ajop.20150301.11
Published in	American Journal of Optics and Photonics (Volume 3, Issue 1, February 2015)
Page(s)	1-4
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Generalized Factor, Power Fraction, Circular Flattened Gaussian Beams

References

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Redouane Lamsoudi, Mohammed Ibn Chaikh. (2015). Parametric Characterization of Truncated Circular Flattened Gaussian Beams. American Journal of Optics and Photonics, 3(1), 1-4. https://doi.org/10.11648/j.ajop.20150301.11

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ACS Style

Redouane Lamsoudi; Mohammed Ibn Chaikh. Parametric Characterization of Truncated Circular Flattened Gaussian Beams. Am. J. Opt. Photonics 2015, 3(1), 1-4. doi: 10.11648/j.ajop.20150301.11

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AMA Style

Redouane Lamsoudi, Mohammed Ibn Chaikh. Parametric Characterization of Truncated Circular Flattened Gaussian Beams. Am J Opt Photonics. 2015;3(1):1-4. doi: 10.11648/j.ajop.20150301.11

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@article{10.11648/j.ajop.20150301.11,
  author = {Redouane Lamsoudi and Mohammed Ibn Chaikh},
  title = {Parametric Characterization of Truncated Circular Flattened Gaussian Beams},
  journal = {American Journal of Optics and Photonics},
  volume = {3},
  number = {1},
  pages = {1-4},
  doi = {10.11648/j.ajop.20150301.11},
  url = {https://doi.org/10.11648/j.ajop.20150301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20150301.11},
  abstract = {Based on the truncated second-order moments definition, the generalized factor of the circular flattened Gaussian beams (CFGB) in the cylindrical coordinate system through a hard-edged circular aperture is derived. Three special cases have been obtained from the closed-form expression for the generalized factor of the truncated CFGB, the non-truncated CFGB, the truncated and non-truncated Gaussian beams. The power fraction of the CFGB is calculated analytically and illustrated numerically.},
 year = {2015}
}

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TY  - JOUR
T1  - Parametric Characterization of Truncated Circular Flattened Gaussian Beams
AU  - Redouane Lamsoudi
AU  - Mohammed Ibn Chaikh
Y1  - 2015/07/02
PY  - 2015
N1  - https://doi.org/10.11648/j.ajop.20150301.11
DO  - 10.11648/j.ajop.20150301.11
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 1
EP  - 4
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20150301.11
AB  - Based on the truncated second-order moments definition, the generalized factor of the circular flattened Gaussian beams (CFGB) in the cylindrical coordinate system through a hard-edged circular aperture is derived. Three special cases have been obtained from the closed-form expression for the generalized factor of the truncated CFGB, the non-truncated CFGB, the truncated and non-truncated Gaussian beams. The power fraction of the CFGB is calculated analytically and illustrated numerically.
VL  - 3
IS  - 1
ER  -

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Author Information

Redouane Lamsoudi

Laboratory of Physics of Condensed Matter, Physics Department, Faculty of Science, Choua?b Doukkali University, El Jadida, Morocco
Mohammed Ibn Chaikh

Laboratory of Physics of Condensed Matter, Physics Department, Faculty of Science, Choua?b Doukkali University, El Jadida, Morocco

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APA Style

Redouane Lamsoudi, Mohammed Ibn Chaikh. (2015). Parametric Characterization of Truncated Circular Flattened Gaussian Beams. American Journal of Optics and Photonics, 3(1), 1-4. https://doi.org/10.11648/j.ajop.20150301.11

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ACS Style

Redouane Lamsoudi; Mohammed Ibn Chaikh. Parametric Characterization of Truncated Circular Flattened Gaussian Beams. Am. J. Opt. Photonics 2015, 3(1), 1-4. doi: 10.11648/j.ajop.20150301.11

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AMA Style

Redouane Lamsoudi, Mohammed Ibn Chaikh. Parametric Characterization of Truncated Circular Flattened Gaussian Beams. Am J Opt Photonics. 2015;3(1):1-4. doi: 10.11648/j.ajop.20150301.11

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@article{10.11648/j.ajop.20150301.11,
  author = {Redouane Lamsoudi and Mohammed Ibn Chaikh},
  title = {Parametric Characterization of Truncated Circular Flattened Gaussian Beams},
  journal = {American Journal of Optics and Photonics},
  volume = {3},
  number = {1},
  pages = {1-4},
  doi = {10.11648/j.ajop.20150301.11},
  url = {https://doi.org/10.11648/j.ajop.20150301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20150301.11},
  abstract = {Based on the truncated second-order moments definition, the generalized factor of the circular flattened Gaussian beams (CFGB) in the cylindrical coordinate system through a hard-edged circular aperture is derived. Three special cases have been obtained from the closed-form expression for the generalized factor of the truncated CFGB, the non-truncated CFGB, the truncated and non-truncated Gaussian beams. The power fraction of the CFGB is calculated analytically and illustrated numerically.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Parametric Characterization of Truncated Circular Flattened Gaussian Beams
AU  - Redouane Lamsoudi
AU  - Mohammed Ibn Chaikh
Y1  - 2015/07/02
PY  - 2015
N1  - https://doi.org/10.11648/j.ajop.20150301.11
DO  - 10.11648/j.ajop.20150301.11
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 1
EP  - 4
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20150301.11
AB  - Based on the truncated second-order moments definition, the generalized factor of the circular flattened Gaussian beams (CFGB) in the cylindrical coordinate system through a hard-edged circular aperture is derived. Three special cases have been obtained from the closed-form expression for the generalized factor of the truncated CFGB, the non-truncated CFGB, the truncated and non-truncated Gaussian beams. The power fraction of the CFGB is calculated analytically and illustrated numerically.
VL  - 3
IS  - 1
ER  -

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