Scaling analyses based on wavelet transforms for the Talbot effect
Optics
2013-12-24 v2
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
Keywords
Cite
@article{arxiv.1301.4150,
title = {Scaling analyses based on wavelet transforms for the Talbot effect},
author = {H. C. Rosu and J. S. Murguia and A. Ludu},
journal= {arXiv preprint arXiv:1301.4150},
year = {2013}
}
Comments
9 pages, 6 figures, version accepted at Physica A