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Numerical scattering analysis for two-dimensional dense random media: characterization of effective permittivity

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2 Author(s)
Sarabandi, K. ; Dept. of Comput. Sci., Michigan Univ., Ann Arbor, MI, USA ; Siqueira, P.R.

A new numerical method for determining effective permittivity of dense random media in two dimensions is presented. The core of the method is to compare the average scattered field of a random collection of scatterers confined within an imaginary boundary with the scattered field from a homogeneous dielectric of the same shape as the imaginary boundary. The two-dimensional (2-D) problem is aggressively studied to provide insight into the dependence of the method's convergence on particle size, boundary shape, and boundary dimension. A novel inverse scattering method is introduced based on the method of moments (MoM), which greatly reduces the computation time and increases the flexibility of the procedure to analyze a variety of geometries. Results from this 2-D method may be used directly to compare with theoretical methods for determining effective permittivity such as the Polder-Van Santen (1946) mixing formula or field techniques such as the quasi-crystalline approximation

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Antennas and Propagation, IEEE Transactions on  (Volume:45 ,  Issue: 5 )