Large-Size Local-Domain Basis Functions with Phase Detour and Fresnel Zone Threshold for Sparse Reaction Matrix in the Method of Moments

Tetsu SHIJO; Takuichi HIRANO; Makoto ANDO

doi:10.1093/ietele/e88-c.12.2208

Large-Size Local-Domain Basis Functions with Phase Detour and Fresnel Zone Threshold for Sparse Reaction Matrix in the Method of Moments

Tetsu SHIJO, Takuichi HIRANO, Makoto ANDO

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Locality in high frequency diffraction is embodied in the Method of Moments (MoM) in view of the method of stationary phase. Local-domain basis functions accompanied with the phase detour, which are not entire domain but are much larger than the segment length in the usual MoM, are newly introduced to enhance the cancellation of mutual coupling over the local-domain; the off-diagonal elements in resultant reaction matrix evanesce rapidly. The Fresnel zone threshold is proposed for simple and effective truncation of the matrix into the sparse band matrix. Numerical examples for the 2-D strip and the 2-D corner reflector demonstrate the feasibility as well as difficulties of the concept; the way mitigating computational load of the MoM in high frequency problems is suggested.

Publication: IEICE TRANSACTIONS on Electronics Vol.E88-C No.12 pp.2208-2215

Publication Date: 2005/12/01

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DOI: 10.1093/ietele/e88-c.12.2208

Type of Manuscript: Special Section PAPER (Special Section on Wireless Technologies and Computational Electromagnetics)

Category: EM Analysis

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Tetsu SHIJO, Takuichi HIRANO, Makoto ANDO, "Large-Size Local-Domain Basis Functions with Phase Detour and Fresnel Zone Threshold for Sparse Reaction Matrix in the Method of Moments" in IEICE TRANSACTIONS on Electronics, vol. E88-C, no. 12, pp. 2208-2215, December 2005, doi: 10.1093/ietele/e88-c.12.2208.
Abstract: Locality in high frequency diffraction is embodied in the Method of Moments (MoM) in view of the method of stationary phase. Local-domain basis functions accompanied with the phase detour, which are not entire domain but are much larger than the segment length in the usual MoM, are newly introduced to enhance the cancellation of mutual coupling over the local-domain; the off-diagonal elements in resultant reaction matrix evanesce rapidly. The Fresnel zone threshold is proposed for simple and effective truncation of the matrix into the sparse band matrix. Numerical examples for the 2-D strip and the 2-D corner reflector demonstrate the feasibility as well as difficulties of the concept; the way mitigating computational load of the MoM in high frequency problems is suggested.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e88-c.12.2208/_p

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@ARTICLE{e88-c_12_2208,
author={Tetsu SHIJO, Takuichi HIRANO, Makoto ANDO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Large-Size Local-Domain Basis Functions with Phase Detour and Fresnel Zone Threshold for Sparse Reaction Matrix in the Method of Moments},
year={2005},
volume={E88-C},
number={12},
pages={2208-2215},
abstract={Locality in high frequency diffraction is embodied in the Method of Moments (MoM) in view of the method of stationary phase. Local-domain basis functions accompanied with the phase detour, which are not entire domain but are much larger than the segment length in the usual MoM, are newly introduced to enhance the cancellation of mutual coupling over the local-domain; the off-diagonal elements in resultant reaction matrix evanesce rapidly. The Fresnel zone threshold is proposed for simple and effective truncation of the matrix into the sparse band matrix. Numerical examples for the 2-D strip and the 2-D corner reflector demonstrate the feasibility as well as difficulties of the concept; the way mitigating computational load of the MoM in high frequency problems is suggested.},
keywords={},
doi={10.1093/ietele/e88-c.12.2208},
ISSN={},
month={December},}

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TY - JOUR
TI - Large-Size Local-Domain Basis Functions with Phase Detour and Fresnel Zone Threshold for Sparse Reaction Matrix in the Method of Moments
T2 - IEICE TRANSACTIONS on Electronics
SP - 2208
EP - 2215
AU - Tetsu SHIJO
AU - Takuichi HIRANO
AU - Makoto ANDO
PY - 2005
DO - 10.1093/ietele/e88-c.12.2208
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E88-C
IS - 12
JA - IEICE TRANSACTIONS on Electronics
Y1 - December 2005
AB - Locality in high frequency diffraction is embodied in the Method of Moments (MoM) in view of the method of stationary phase. Local-domain basis functions accompanied with the phase detour, which are not entire domain but are much larger than the segment length in the usual MoM, are newly introduced to enhance the cancellation of mutual coupling over the local-domain; the off-diagonal elements in resultant reaction matrix evanesce rapidly. The Fresnel zone threshold is proposed for simple and effective truncation of the matrix into the sparse band matrix. Numerical examples for the 2-D strip and the 2-D corner reflector demonstrate the feasibility as well as difficulties of the concept; the way mitigating computational load of the MoM in high frequency problems is suggested.
ER -