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APS » Journals » Phys. Rev. Lett. » Volume 89 » Issue 18
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Phys. Rev. Lett. 89, 188501 (2002) [4 pages]

Fractal Scattering of Microwaves from Soils

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K. Oleschko1,*, G. Korvin2, A. S. Balankin3, R. V. Khachaturov1, L. Flores1, B. Figueroa4, J. Urrutia5, and F. Brambila6
1Instituto de Geología, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 70-296, Ciudad Universitaria, C.P. 04510, Coyoacán, México, D.F., México
2King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
3Instituto Politécnico Nacional, México D.F., México 07738
4Colegio de Postgraduados, km.35.5 Carretera México-Texcoco, Montecillos, Estado de México, C.P. 56230, México
5Instituto de Geofísica, Universidad Nacional Autónoma de México, C.P. 04510, Coyoacán, México, D.F., México
6Facultad de Ciencias, Departamento de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, C.P. 04510, Coyoacán, México, D.F.

Received 14 February 2002; published 10 October 2002

See accompanying Physics Focus

Using a combination of laboratory experiments and computer simulation we show that microwaves reflected from and transmitted through soil have a fractal dimension correlated to that of the soil’s hierarchic permittivity network. The mathematical model relating the ground-penetrating radar record to the mass fractal dimension of soil structure is also developed. The fractal signature of the scattered microwaves correlates well with some physical and mechanical properties of soils.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.188501
DOI:
10.1103/PhysRevLett.89.188501
PACS:
91.60.Ed, 41.20.Jb, 61.43.Gt, 61.43.Hv

*Corresponding author.

Email address: olechko@servidor.unam.mx

 
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