Fractal surfaces and electromagnetic extended boundary conditions

Author

Franceschetti, Giorgio ; Iodice, Antonio ; Riccio, Daniele ; Ruello, Giuseppe

Author_Institution

Dipt. di Ingegneria Elettronica e delle Telecomunicazioni, Naples Univ., Italy

Volume

40

Issue

5

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

1018

Lastpage

1031

Abstract

In this paper, we employ the extended boundary condition method with the Weierstrass-Mandelbrot (WM) fractal function to model and solve a relevant electromagnetic scattering problem. The key point of the procedure is the property of the WM to be an almost periodic function. This allows to generalize techniques employed for periodic problems and to express the field by means of a superposition of Floquet modes. The procedure is devised for the general case of dielectric surfaces. Criteria for assessing the validity of the method are discussed and provided. Validity of the method is confirmed by numerical results

Keywords

backscatter; fractals; geophysical techniques; radar cross-sections; radar theory; remote sensing by radar; rough surfaces; terrain mapping; EM extended boundary conditions; Floquet modes; Weierstrass-Mandelbrot fractal function; dielectric surface; electromagnetic extended boundary conditions; electromagnetic scattering; extended boundary condition method; fractal surface; geophysical measurement technique; land surface; model; periodic function; radar remote sensing; radar scattering; rough surface; superposition; terrain mapping; theory; Boundary conditions; Dielectrics; Electromagnetic modeling; Electromagnetic scattering; Fractals; Optical scattering; Remote monitoring; Rough surfaces; Sea surface; Surface roughness;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/TGRS.2002.1010889

Filename

1010889