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Changes in the kurtosis parameter of super-Gaussian beams passing through a spherically aberrated lens

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Abstract

Based on the Collins formula and irradiance moments definition, the propagation of the kurtosis parameter of super-Gaussian beams through a spherically aberrated lens is studied. Detailed numerical results are given. It is shown that, as compared with aberration-free super-Gaussian beams, the profile of spherically aberrated super-Gaussian beams can be leptokurtic, mesokurtic or platykurtic, depending on the aberration and propagation distance. The results for the spherically aberrated Gaussian beams can be dealt with as a special case treated in this paper. Finally, the advantage of our method is pointed out.

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Authors and Affiliations

  1. College of Electronic Engineering, Sichuan Normal University, Chengdu, 610066, China

    X. Ji

  2. nstitute of Laser Physics and Chemistry, Sichuan University, Chengdu, 610064, China

    X. Ji & B. Lü

Authors
  1. X. Ji
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  2. B. Lü
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Correspondence to X. Ji.

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Ji, X., Lü, B. Changes in the kurtosis parameter of super-Gaussian beams passing through a spherically aberrated lens. Optical and Quantum Electronics 35, 749–755 (2003). https://doi.org/10.1023/A:1024198407648

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  • DOI: https://doi.org/10.1023/A:1024198407648

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