A Sparse-Matrix/Canonical Grid Method for Analyzing Microstrip Structures
Summary :
In this paper, we illustrate the analysis of microstrip structures with a large number of unknowns using the sparse-matrix/canonical grid method. This fast Fourier thansform (FFT) based iterative method reduces both CPU time and computer storage memory requirements. We employ the Mixed-Potential Integral Equation (MPIE) formulation in conjunction with the RWG triangular discretization. The required spatial-domain Green's functions are obtained efficiently and accurately using the Complex Image Method (CIM). The impedance matrix is decomposed into a sparse matrix which corresponds to near interactions and its complementary matrix which corresponds to far interactions among the subsectional current elements on the microstrip structures. During the iterative process, the near-interaction portion of the matrix -vector multiplication is computed directly as the conventional MPIE formulation. The far-interaction portion of the matrix-vector multiplication is computed indirectly using fast Fourier transforms (FFTs). This is achieved by a Taylor series expansion of the Green's function about the grid points of a uniformly-spaced canonical grid overlaying the triangular discretization.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E80-C No.11 pp.1354-1359
- Publication Date
- 1997/11/25
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- Online ISSN
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- Special Section INVITED PAPER (Special Issue on Electromagnetic Theory
Scattering and Diffraction )
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Chi H.CHAN, Chien Min LIN, Leung TSANG, Yiu Fung LEUNG, "A Sparse-Matrix/Canonical Grid Method for Analyzing Microstrip Structures" in IEICE TRANSACTIONS on Electronics,
vol. E80-C, no. 11, pp. 1354-1359, November 1997, doi: .
Abstract: In this paper, we illustrate the analysis of microstrip structures with a large number of unknowns using the sparse-matrix/canonical grid method. This fast Fourier thansform (FFT) based iterative method reduces both CPU time and computer storage memory requirements. We employ the Mixed-Potential Integral Equation (MPIE) formulation in conjunction with the RWG triangular discretization. The required spatial-domain Green's functions are obtained efficiently and accurately using the Complex Image Method (CIM). The impedance matrix is decomposed into a sparse matrix which corresponds to near interactions and its complementary matrix which corresponds to far interactions among the subsectional current elements on the microstrip structures. During the iterative process, the near-interaction portion of the matrix -vector multiplication is computed directly as the conventional MPIE formulation. The far-interaction portion of the matrix-vector multiplication is computed indirectly using fast Fourier transforms (FFTs). This is achieved by a Taylor series expansion of the Green's function about the grid points of a uniformly-spaced canonical grid overlaying the triangular discretization.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e80-c_11_1354/_p
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@ARTICLE{e80-c_11_1354,
author={Chi H.CHAN, Chien Min LIN, Leung TSANG, Yiu Fung LEUNG, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Sparse-Matrix/Canonical Grid Method for Analyzing Microstrip Structures},
year={1997},
volume={E80-C},
number={11},
pages={1354-1359},
abstract={In this paper, we illustrate the analysis of microstrip structures with a large number of unknowns using the sparse-matrix/canonical grid method. This fast Fourier thansform (FFT) based iterative method reduces both CPU time and computer storage memory requirements. We employ the Mixed-Potential Integral Equation (MPIE) formulation in conjunction with the RWG triangular discretization. The required spatial-domain Green's functions are obtained efficiently and accurately using the Complex Image Method (CIM). The impedance matrix is decomposed into a sparse matrix which corresponds to near interactions and its complementary matrix which corresponds to far interactions among the subsectional current elements on the microstrip structures. During the iterative process, the near-interaction portion of the matrix -vector multiplication is computed directly as the conventional MPIE formulation. The far-interaction portion of the matrix-vector multiplication is computed indirectly using fast Fourier transforms (FFTs). This is achieved by a Taylor series expansion of the Green's function about the grid points of a uniformly-spaced canonical grid overlaying the triangular discretization. },
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - A Sparse-Matrix/Canonical Grid Method for Analyzing Microstrip Structures
T2 - IEICE TRANSACTIONS on Electronics
SP - 1354
EP - 1359
AU - Chi H.CHAN
AU - Chien Min LIN
AU - Leung TSANG
AU - Yiu Fung LEUNG
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E80-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 1997
AB - In this paper, we illustrate the analysis of microstrip structures with a large number of unknowns using the sparse-matrix/canonical grid method. This fast Fourier thansform (FFT) based iterative method reduces both CPU time and computer storage memory requirements. We employ the Mixed-Potential Integral Equation (MPIE) formulation in conjunction with the RWG triangular discretization. The required spatial-domain Green's functions are obtained efficiently and accurately using the Complex Image Method (CIM). The impedance matrix is decomposed into a sparse matrix which corresponds to near interactions and its complementary matrix which corresponds to far interactions among the subsectional current elements on the microstrip structures. During the iterative process, the near-interaction portion of the matrix -vector multiplication is computed directly as the conventional MPIE formulation. The far-interaction portion of the matrix-vector multiplication is computed indirectly using fast Fourier transforms (FFTs). This is achieved by a Taylor series expansion of the Green's function about the grid points of a uniformly-spaced canonical grid overlaying the triangular discretization.
ER -
English
