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Wilson & Thiel 2002
Wilson, G.A. and Thiel, D.V. (2002). Conductivity and resistivity tensor rotation for surface impedance modeling of an anisotropic half-space. Radio Science 37: doi: 10.1029/2001RS002535. issn: 0048-6604.

The electromagnetic surface impedance of a half-space with inclined conductivity anisotropy can be derived from the isotropic half-space solution provided the conductivity term used in the expressions is the effective horizontal conductivity. For a TM-mode plane wave incidence, the effective horizontal conductivity must be derived from the tensor rotation of the resistivity tensor and not from the tensor rotation of the conductivity tensor. For a TE-mode incident with the same geometry as the TM-mode, the surface impedance is independent upon the inclined anisotropy. This same formulation can then be extended to a multiple layered half-space where each layer has an inclined anisotropy. For an anisotropic half-space with coefficient of anisotropy of 4, with a horizontal conductivity of 0.001 S/m inclined at 45¿ with respect to the horizontal plane, the magnitude of the surface impedance calculated using the resistivity tensor rotation is approximately 53% larger than the magnitude of the surface impedance calculated using the conductivity tensor rotation.

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Abstract

Keywords
Radio Science, Radio wave propagation, Electromagnetics, Wave propagation, Electromagnetics, Electromagnetic theory, Electromagnetics, Measurement and standards
Journal
Radio Science
Publisher
American Geophysical Union
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