Fractal roughness retrieval by integrated wavelet transform
Abbreviated Journal Title
integrated wavelet transform; rough surface; fractal surface; self-similar surface; self-affine surface; autocorrelation; scaling; exponent; X-RAY-SCATTERING; SURFACE; SEA; Optics
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.
"Fractal roughness retrieval by integrated wavelet transform" (1999). Faculty Bibliography 1990s. 2606.