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Fractal Scattering of Microwaves from Soils

K. Oleschko, G. Korvin, A. S. Balankin, R. V. Khachaturov, L. Flores, B. Figueroa, J. Urrutia, and F. Brambila
Phys. Rev. Lett. 89, 188501 – Published 10 October 2002
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Abstract

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.

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  • Received 14 February 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.188501

©2002 American Physical Society

Authors & Affiliations

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.

  • *Corresponding author. Email address: olechko@servidor.unam.mx

See Also

Dirt Radar

Erica Klarreich
Phys. Rev. Focus 10, 17 (2002)

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Issue

Vol. 89, Iss. 18 — 28 October 2002

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