Efficient modeling of multiscale structures using higher-order method of moments

Xunwang Zhao; Huanhuan Zhang; Yu Zhang; Tapan K. Sarkar; Sio Weng Ting

doi:10.1109/JMMCT.2017.2698339

Efficient modeling of multiscale structures using higher-order method of moments

Xunwang Zhao, Huanhuan Zhang, Yu Zhang, Tapan K. Sarkar, Sio Weng Ting

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Higher-order polynomials as basis functions can be adapted to deal with extremely nonuniform meshes, which range from approximately 10^-6λ to 2λ in electrical size. Thus, they are quite suitable and very flexible for modeling multiscale structures. The development of higher-order basis functions (HOBs) is not new, but its application to complex composite structures is the contribution of the paper. The mesh density and the number of unknowns are reduced when compared with the piecewise Rao-Wilton-Glisson basis functions (RWGs). The lower/upper (LU) decomposition is used to solve the matrix equation to ensure the solution accuracy of the method of moments. Numerical examples involving multiscale metallic and dielectric structures are presented to demonstrate the features of the HOBs in comparison with the RWGs.

Original language	English (US)
Article number	7912401
Pages (from-to)	78-83
Number of pages	6
Journal	IEEE Journal on Multiscale and Multiphysics Computational Techniques
Volume	2
DOIs	https://doi.org/10.1109/JMMCT.2017.2698339
State	Published - 2017

Keywords

Higher-order basis (HOB) functions
ill-conditioned matrix
lower/upper (LU) decomposition
method of moments (MoM)
multiscale structures

ASJC Scopus subject areas

Modeling and Simulation
Mathematical Physics
Physics and Astronomy (miscellaneous)
Computational Mathematics

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10.1109/JMMCT.2017.2698339

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title = "Efficient modeling of multiscale structures using higher-order method of moments",

abstract = "Higher-order polynomials as basis functions can be adapted to deal with extremely nonuniform meshes, which range from approximately 10-6λ to 2λ in electrical size. Thus, they are quite suitable and very flexible for modeling multiscale structures. The development of higher-order basis functions (HOBs) is not new, but its application to complex composite structures is the contribution of the paper. The mesh density and the number of unknowns are reduced when compared with the piecewise Rao-Wilton-Glisson basis functions (RWGs). The lower/upper (LU) decomposition is used to solve the matrix equation to ensure the solution accuracy of the method of moments. Numerical examples involving multiscale metallic and dielectric structures are presented to demonstrate the features of the HOBs in comparison with the RWGs.",

keywords = "Higher-order basis (HOB) functions, ill-conditioned matrix, lower/upper (LU) decomposition, method of moments (MoM), multiscale structures",

author = "Xunwang Zhao and Huanhuan Zhang and Yu Zhang and Sarkar, {Tapan K.} and Ting, {Sio Weng}",

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AU - Zhao, Xunwang

AU - Zhang, Huanhuan

AU - Zhang, Yu

AU - Sarkar, Tapan K.

AU - Ting, Sio Weng

PY - 2017

Y1 - 2017

N2 - Higher-order polynomials as basis functions can be adapted to deal with extremely nonuniform meshes, which range from approximately 10-6λ to 2λ in electrical size. Thus, they are quite suitable and very flexible for modeling multiscale structures. The development of higher-order basis functions (HOBs) is not new, but its application to complex composite structures is the contribution of the paper. The mesh density and the number of unknowns are reduced when compared with the piecewise Rao-Wilton-Glisson basis functions (RWGs). The lower/upper (LU) decomposition is used to solve the matrix equation to ensure the solution accuracy of the method of moments. Numerical examples involving multiscale metallic and dielectric structures are presented to demonstrate the features of the HOBs in comparison with the RWGs.

AB - Higher-order polynomials as basis functions can be adapted to deal with extremely nonuniform meshes, which range from approximately 10-6λ to 2λ in electrical size. Thus, they are quite suitable and very flexible for modeling multiscale structures. The development of higher-order basis functions (HOBs) is not new, but its application to complex composite structures is the contribution of the paper. The mesh density and the number of unknowns are reduced when compared with the piecewise Rao-Wilton-Glisson basis functions (RWGs). The lower/upper (LU) decomposition is used to solve the matrix equation to ensure the solution accuracy of the method of moments. Numerical examples involving multiscale metallic and dielectric structures are presented to demonstrate the features of the HOBs in comparison with the RWGs.

KW - Higher-order basis (HOB) functions

KW - ill-conditioned matrix

KW - lower/upper (LU) decomposition

KW - method of moments (MoM)

KW - multiscale structures

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Efficient modeling of multiscale structures using higher-order method of moments

Abstract

Keywords

ASJC Scopus subject areas

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