A Use of Current Continuity Condition in GTD-MM Hybrid Technique

Xu ZHANG; Naoki INAGAKI; Nobuyoshi KIKUMA

A Use of Current Continuity Condition in GTD-MM Hybrid Technique

Xu ZHANG, Naoki INAGAKI, Nobuyoshi KIKUMA

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A current continuity equation is proposed as the additional equation for the GTD-MM hybrid technique formulation to acquire the uniqueness of the solution which were nonexistent in the conventional formulation with the matching-point equation. The current continuity equation, which ensures the current continuity and satisfies the boundary condition, can directly be written down through equating the MM-region current to the GTD-region current at the regions boundary. It is proved that the current continuity equation is equivalent to the matching-point equation of special case when the matching-point located very close to the boundary, which were able to give the best solution in the conventional formulation with the matching-point equation as explained by Burnside et al. The validity of the new equation is confirmed through the numerical results.

Publication: IEICE TRANSACTIONS on Electronics Vol.E74-C No.7 pp.2055-2060

Publication Date: 1991/07/25

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Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Xu ZHANG
Naoki INAGAKI
Nobuyoshi KIKUMA

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Xu ZHANG, Naoki INAGAKI, Nobuyoshi KIKUMA, "A Use of Current Continuity Condition in GTD-MM Hybrid Technique" in IEICE TRANSACTIONS on Electronics, vol. E74-C, no. 7, pp. 2055-2060, July 1991, doi: .
Abstract: A current continuity equation is proposed as the additional equation for the GTD-MM hybrid technique formulation to acquire the uniqueness of the solution which were nonexistent in the conventional formulation with the matching-point equation. The current continuity equation, which ensures the current continuity and satisfies the boundary condition, can directly be written down through equating the MM-region current to the GTD-region current at the regions boundary. It is proved that the current continuity equation is equivalent to the matching-point equation of special case when the matching-point located very close to the boundary, which were able to give the best solution in the conventional formulation with the matching-point equation as explained by Burnside et al. The validity of the new equation is confirmed through the numerical results.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e74-c_7_2055/_p

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@ARTICLE{e74-c_7_2055,
author={Xu ZHANG, Naoki INAGAKI, Nobuyoshi KIKUMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Use of Current Continuity Condition in GTD-MM Hybrid Technique},
year={1991},
volume={E74-C},
number={7},
pages={2055-2060},
abstract={A current continuity equation is proposed as the additional equation for the GTD-MM hybrid technique formulation to acquire the uniqueness of the solution which were nonexistent in the conventional formulation with the matching-point equation. The current continuity equation, which ensures the current continuity and satisfies the boundary condition, can directly be written down through equating the MM-region current to the GTD-region current at the regions boundary. It is proved that the current continuity equation is equivalent to the matching-point equation of special case when the matching-point located very close to the boundary, which were able to give the best solution in the conventional formulation with the matching-point equation as explained by Burnside et al. The validity of the new equation is confirmed through the numerical results.},
keywords={},
doi={},
ISSN={},
month={July},}

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TY - JOUR
TI - A Use of Current Continuity Condition in GTD-MM Hybrid Technique
T2 - IEICE TRANSACTIONS on Electronics
SP - 2055
EP - 2060
AU - Xu ZHANG
AU - Naoki INAGAKI
AU - Nobuyoshi KIKUMA
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E74-C
IS - 7
JA - IEICE TRANSACTIONS on Electronics
Y1 - July 1991
AB - A current continuity equation is proposed as the additional equation for the GTD-MM hybrid technique formulation to acquire the uniqueness of the solution which were nonexistent in the conventional formulation with the matching-point equation. The current continuity equation, which ensures the current continuity and satisfies the boundary condition, can directly be written down through equating the MM-region current to the GTD-region current at the regions boundary. It is proved that the current continuity equation is equivalent to the matching-point equation of special case when the matching-point located very close to the boundary, which were able to give the best solution in the conventional formulation with the matching-point equation as explained by Burnside et al. The validity of the new equation is confirmed through the numerical results.
ER -