Scaling analyses based on wavelet transforms for the Talbot effect

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

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 17, 3780-3788

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.

Keywords: Scaling exponent; Wavelet transform; Self-imaging effect; Near-field diffraction; Fibonacci convergents (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:17:p:3780-3788

DOI: 10.1016/j.physa.2013.04.015

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