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Chin. Phys. B, 2008, Vol. 17(8): 2956-2962    DOI: 10.1088/1674-1056/17/8/032
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Fractal characteristics investigation on electromagnetic scattering from 2-D Weierstrass fractal dielectric rough surface

Ren Xin-Cheng(任新成)a)b)† and Guo Li-Xin(郭立新)a)
a School of Science, Xi'dian University, Xi'an 710071, China; b College of Physics and Electronic Information, Yan'an University, Yan'an 716000, China
Abstract  A normalized two-dimensional band-limited Weierstrass fractal function is used for modelling the dielectric rough surface. An analytic solution of the scattered field is derived based on the Kirchhoff approximation. The variance of scattering intensity is presented to study the fractal characteristics through theoretical analysis and numerical calculations. The important conclusion is obtained that the diffracted envelope slopes of scattering pattern can be approximated as a slope of linear equation. This conclusion will be applicable for solving the inverse problem of reconstructing rough surface and remote sensing.
Keywords:  dielectric rough surface      2-$D$ band-limited Weierstrass fractal function      fractal characteristics      Kirchhoff approximation  
Received:  26 July 2007      Revised:  25 March 2008      Accepted manuscript online: 
PACS:  41.20.Jb (Electromagnetic wave propagation; radiowave propagation)  
  02.60.-x (Numerical approximation and analysis)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60571058), Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No 20070701010).

Cite this article: 

Ren Xin-Cheng(任新成) and Guo Li-Xin(郭立新) Fractal characteristics investigation on electromagnetic scattering from 2-D Weierstrass fractal dielectric rough surface 2008 Chin. Phys. B 17 2956

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