Fractal dimension of turbulent laser beam wandering

Darío G. Pérez, Luciano Zunino, Mario Garavaglia

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


We analyze the fractal (box-counting) dimension of laser beam wandering. The wandering is due to the light travelling across a path filled by laboratory generated turbulence. The laser's centroid position is collected by a continuous position detector - "light-tracker." We determine the box-counting dimension by means of two independent algorithms. The first method calculates the Hurst exponent of each axis, within the fractional Brownian model, and then the fractal dimension is determined applying a theoretical result. For the second one a new algorithm is proposed to estimate it directly. These results are compared.

Original languageEnglish
Article number69
Pages (from-to)368-372
Number of pages5
JournalProceedings of SPIE - The International Society for Optical Engineering
Issue numberPART 1
StatePublished - 2004
Externally publishedYes
EventRIAO/OPTILAS 2004: 5th Iberoamerican Meeting on Optics, and 8th Latin American Meeting on Optics, Lasers, and their Applications; ICO Regional Meeting - Porlamar, Venezuela, Bolivarian Republic of
Duration: 3 Oct 20048 Oct 2004


  • Box-counting dimension
  • Fractal dimension
  • Lightwave propagation
  • Turbulence
  • Wandering


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