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Fractals and the small perturbation scattering model
Author(s) -
Franceschetti Giorgio,
Iodice Antonio,
Migliaccio Maurizio,
Riccio Daniele
Publication year - 1999
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1999rs900053
Subject(s) - fractional brownian motion , fractal , scattering , perturbation (astronomy) , statistical physics , mathematics , mathematical analysis , brownian motion , physics , optics , statistics , quantum mechanics
The two‐dimensional fractional Brownian motion (fBm) fractal model has proved to be very suitable for the description of natural surfaces. In this paper we use this model to evaluate scattering from natural rough surfaces. The small perturbation method is considered, and an expression of the backscattering coefficient is obtained. We show that use of the fBm surface model leads to scattering results that are in better agreement with a set of measured data than the ones obtained by using usual surface models. The proposed model also compares favorably with the two‐scale classical model.