Title

Fractal Roughness Retrieval By Integrated Wavelet Transform

Keywords

Autocorrelation; Fractal surface; Integrated wavelet transform; Rough surface; Scaling exponent; Self-affine surface; Self-similar surface

Abstract

An integrated-wavelet-transform (IWT) approach is proposed for the study of scattering from slightly rough surfaces that manifest scaling properties over a finite domain of correlation lengths. Instead of collecting angle-resolved intensities, values of the irradiance integrated over increasing areas are used to enhance the contributions of small irradiances at large scattering angles and to reduce the coherent noise. In the case of self-similar surfaces, the scaling behavior of IWT allows investigation of the surface roughness at various length scales. For the realistic case of self-affine surfaces, IWT permits the evaluation of the scaling exponent of the autocorrelation and also offers a direct way to evaluate the necessary length scale of the surface profile.

Publication Date

1-1-1999

Publication Title

Optical Review

Volume

6

Issue

4

Number of Pages

293-301

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10043-999-0293-z

Socpus ID

0033247322 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0033247322

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