基于小波变换的Talbot效应尺度分析
Scaling analyses based on wavelet transforms for the Talbot effect
摘要：
横向Talbot图像的分形特性进行了分析与两个著名的缩放方法，小波变换模极大值（WTMM）和小波变换多重分形去趋势波动分析（WT-MFDFA）。我们使用奇异谱的宽度，Δ α = α_H-α_min，作为这些Talbot图像的特征。这两种方法的q矩的τ标度指数在q中是线性的，证明了这些图像的横向衍射傍轴场是单分形的
英文摘要：
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
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
