Scaling analyses based on wavelet transforms for the Talbot effect
arXiv:1301.4150 · doi:10.1016/j.physa.2013.04.015
Abstract
The fractal properties of the transverse Talbot images are analysed 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, Delta alpha=alpha_H-alpha_min, as a characteristic feature of these Talbot images. The tau 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
9 pages, 6 figures, version accepted at Physica A
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