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Scintillation calculations for partially coherent general beams via extended Huygens–Fresnel integral and self-designed Matlab function

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Abstract

We present scintillation calculations in weak atmospheric turbulence for partially coherent general beams based on the extended Huygens–Fresnel integral and a Matlab function designed to handle expressions both of the average intensity and the average squared intensity. This way, the integrations are performed in a semi-analytic manner by the associated Matlab function, and this avoids lengthy, time-consuming and error prone hand derivations. The results are obtained for the partially coherent fundamental and higher-order sinusoidal and annular Gaussian beams. By plotting the scintillation index against the propagation distance and source size, we illustrate the on-axis scintillation behaviors of these beams. Accordingly, it is found that within specific source and parameter ranges, partially coherent fundamental, higher-order sinusoidal and annular Gaussian beams are capable of offering less scintillations, in comparison to the fundamental Gaussian beam.

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Authors and Affiliations

  1. Department of Electronic and Communication Engineering, Çankaya University, Öğretmenler Cad. No. 14 Yüzüncüyıl, 06530, Balgat, Ankara, Turkey

    H. T. Eyyuboğlu & Y. Baykal

  2. School of Physical Science and Technology, Soochow University, Suzhou, 215006, China

    Y. Cai

Authors
  1. H. T. Eyyuboğlu
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  2. Y. Baykal
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  3. Y. Cai
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Correspondence to H. T. Eyyuboğlu.

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Eyyuboğlu, H.T., Baykal, Y. & Cai, Y. Scintillation calculations for partially coherent general beams via extended Huygens–Fresnel integral and self-designed Matlab function. Appl. Phys. B 100, 597–609 (2010). https://doi.org/10.1007/s00340-010-4125-4

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  • DOI: https://doi.org/10.1007/s00340-010-4125-4

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