Improved Solution of Tensor-Volume Integral Equation Using Mixed-Domain MoM with Polynomial Expansion


IEICE TRANSACTIONS on Communications   Vol.E90-B   No.3   pp.607-620
Publication Date: 2007/03/01
Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e90-b.3.607
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Antennas and Propagation
Tensor-Volume Integral Equation,  mixed-domain MoM,  dielectric scatterer,  thin-wire antenna,  polynomial expansion,  

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A new approach for solution of the Tensor-Volume Integral Equation (TVIE) using Galerkin-based moment method (MoM) for three-dimensional dielectric bodies is proposed. Two problems of plane wave scattering by a dielectric sphere and a thin-wire antenna in close proximity to a dielectric body are investigated. In both cases, cubic modeling is applied and a combination of entire-domain and sub-domain basis functions, including three-dimensional polynomial functions with different degrees is utilized for field expansion inside dielectric bodies. Power polynomial is adopted for this purpose and its property is discussed over the proposed mixed-domain MoM formulation. Numerical examples show that based on the proposed method, a relative fast algorithm and suitable accuracy are achieved compared with conventional MoM. The accuracy of the proposed method is verified by comparing it with the Mie theory, conventional MoM and the FDTD method.