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Scaling analyses based on wavelet transforms for the Talbot effect

Author

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  • Rosu, Haret C.
  • Murguía, José S.
  • Ludu, Andrei

Abstract

The fractal properties of the transverse Talbot images are analyzed with two well-known scaling methods, the wavelet transform modulus maxima (WTMM) and the wavelet transform multifractal detrended fluctuation analysis (WT-MFDFA). We use the widths of the singularity spectra, Δα=αH−αmin, as a characteristic feature of these Talbot images. The τ scaling exponents of the q moments are linear in q within the two methods, which proves the monofractality of the transverse diffractive paraxial field in the case of these images.

Suggested Citation

  • Rosu, Haret C. & Murguía, José S. & Ludu, Andrei, 2013. "Scaling analyses based on wavelet transforms for the Talbot effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3780-3788.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:17:p:3780-3788
    DOI: 10.1016/j.physa.2013.04.015
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