Title :
BRDF evaluation from a two-dimensional fractal rough surface
Author :
Chen Ming ; Tian Yan ; Wu Yingchun
Author_Institution :
Dept. of Electron. & Inf. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
The physical mechanism of scattering of electromagnetic beams from a surface can be quantified by either a differential scattering coefficient or a bidirectional reflectance distribution function (BRDF). In this paper, the rough surface are modeled by a band-limited Weierstrass fractal function. According to the Kirchhoff stationary phase approximation for rough surface scattering, an expression of the BRDF for the fractal rough surface is derived. The angular distributions of the BRDF of the fractal surface for different fractal dimensions and different height standard deviation are studied by theoretic analysis and numerical calculations.
Keywords :
electromagnetic wave scattering; fractals; rough surfaces; 2D fractal rough surface; Kirchhoff stationary phase approximation; Weierstrass fractal function; bidirectional reflectance distribution function; differential scattering coefficient; electromagnetic beam scattering; rough surface scattering; Bidirectional control; Distribution functions; Electromagnetic scattering; Fractals; Geometry; Particle scattering; Rough surfaces; Sea surface; Surface roughness; Surface waves; BRDF; Kirchhoff stationary phase approximation; electromagnetic scattering; fractal surface;
Conference_Titel :
Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2009 3rd IEEE International Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-4076-4
DOI :
10.1109/MAPE.2009.5355552
