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Physica A: Statistical Mechanics and its Applications
Generically Dependent Continuant
RDF description of Scaling analyses based on wavelet transforms for the Talbot effect - http://orbis.uaslp.mx/vivo/individual/scopus3555
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Scaling analyses based on wavelet transforms for the Talbot effect
Fibonacci convergents; Near-field diffraction; Scaling exponent; Self-imaging effect; Wavelet transform Fibonacci convergents; Fractal properties; Multifractal detrended fluctuation analysis; Near-field diffraction; Scaling analysis; Scaling exponent; Self-imaging effects; Wavelet transform modulus maxima; Fractals; Wavelet transforms
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. © 2013 Elsevier B.V. All rights reserved.