Title :
Effective permittivity of a random mixture with spherical inclusions
Author :
Kärkkäinen, Kimmo ; Sihvola, Ari ; Nikoskinen, Keijo
Author_Institution :
Electromagn. Lab., Helsinki Univ. of Technol., Espoo, Finland
Abstract :
The paper reports the results of a numerical analysis of electric field in random dielectric materials. The effective permittivity of a three-dimensional mixture is calculated by the finite difference method. The studied mixture is a two-component mixture with a homogeneous background in which spheres of another material are embedded in random positions. A new technique to derive difference equations in the neighborhood of material interfaces is considered. Hundreds of mixture samples with different random inclusion distributions are analysed to get a good insight into average characteristics of the mixture material. The calculated permittivity distributions are also compared with well-known theoretical models such as Maxwell Garnett and Bruggeman models
Keywords :
finite difference methods; geophysical techniques; permittivity; radar cross-sections; radar theory; random media; remote sensing by radar; terrain mapping; terrestrial electricity; dielectric constant; difference equations; effective permittivity; electric field; finite difference method; geoelectric method; geophysical measurement technique; homogeneous background; land surface; microwave radiometry; numerical analysis; radar remote sensing; radar scattering; random dielectric material; random mixture; random positions; spherical inclusion; terrain mapping; terrestrial electricity; theoretical model; three-dimensional mixture; two-component mixture; Boundary conditions; Dielectric materials; Electric potential; Electrostatics; Equations; Finite difference methods; Geometry; Insulation; Lattices; Permittivity;
Conference_Titel :
Geoscience and Remote Sensing Symposium, 2000. Proceedings. IGARSS 2000. IEEE 2000 International
Conference_Location :
Honolulu, HI
Print_ISBN :
0-7803-6359-0
DOI :
10.1109/IGARSS.2000.858412