Improved Solution of Tensor-Volume Integral Equation Using Mixed-Domain MoM with Polynomial Expansion
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E90-B No.3 pp.607-620
- Publication Date
- 2007/03/01
- Publicized
- Online ISSN
- 1745-1345
- DOI
- 10.1093/ietcom/e90-b.3.607
- Type of Manuscript
- PAPER
- Category
- Antennas and Propagation
Authors
Keyword
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Amin SAEEDFAR, Kunio SAWAYA, "Improved Solution of Tensor-Volume Integral Equation Using Mixed-Domain MoM with Polynomial Expansion" in IEICE TRANSACTIONS on Communications,
vol. E90-B, no. 3, pp. 607-620, March 2007, doi: 10.1093/ietcom/e90-b.3.607.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/communications/10.1093/ietcom/e90-b.3.607/_p
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@ARTICLE{e90-b_3_607,
author={Amin SAEEDFAR, Kunio SAWAYA, },
journal={IEICE TRANSACTIONS on Communications},
title={Improved Solution of Tensor-Volume Integral Equation Using Mixed-Domain MoM with Polynomial Expansion},
year={2007},
volume={E90-B},
number={3},
pages={607-620},
abstract={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.},
keywords={},
doi={10.1093/ietcom/e90-b.3.607},
ISSN={1745-1345},
month={March},}
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TY - JOUR
TI - Improved Solution of Tensor-Volume Integral Equation Using Mixed-Domain MoM with Polynomial Expansion
T2 - IEICE TRANSACTIONS on Communications
SP - 607
EP - 620
AU - Amin SAEEDFAR
AU - Kunio SAWAYA
PY - 2007
DO - 10.1093/ietcom/e90-b.3.607
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E90-B
IS - 3
JA - IEICE TRANSACTIONS on Communications
Y1 - March 2007
AB - 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.
ER -
English
