Title :
The validity of the Kirchhoff approximation for fractal surface scattering
Author :
Franceschetti, Giorgio ; Migliaccio, Maurizio ; Riccio, Daniele
Author_Institution :
Dipt. di Ingegneria Elettronica e delle Telecommun., Univ. di Napoli Federico II, Italy
Abstract :
In this paper a novel theoretical framework for calculating the mean radius of curvature of fractal surfaces is depicted. In particular, the case of surfaces represented by means of functions belonging to the set of the Weierstrass-Mandelbrot functions is hereafter detailed. The applicability of the Kirchhoff approximation in scattering from fractal surfaces is discussed and a set of numerical results is presented
Keywords :
backscatter; fractals; geophysical techniques; radar cross-sections; radar theory; remote sensing by radar; rough surfaces; terrain mapping; Kirchhoff approximation; Weierstrass-Mandelbrot functions; backscatter; fractal surface scattering; geophysical measurement technique; land surface; mean radius of curvature; radar remote sensing; radar scattering; radar theory; rough surface; terrain mapping; theoretical framework; Fractals; Geometry; Kirchhoff´s Law; Layout; Remote sensing; Rough surfaces; Scattering; Surface roughness; Surface waves; Telecommunications;
Conference_Titel :
Geoscience and Remote Sensing Symposium, 1999. IGARSS '99 Proceedings. IEEE 1999 International
Conference_Location :
Hamburg
Print_ISBN :
0-7803-5207-6
DOI :
10.1109/IGARSS.1999.771525
