IEICE TRANSACTIONS on Fundamentals
New Formulation for the Recursive Transfer Method Using the Weak Form Theory Framework and Its Application to Microwave Scattering
Summary :
The recursive transfer method (RTM) is a numerical technique that was developed to analyze scattering phenomena and its formulation is constructed with a difference equation derived from a differential equation by Numerov's discretization method. However, the differential equation to which Numerov's method is applicable is restricted and therefore the application range of RTM is also limited. In this paper, we provide a new discretization scheme to extend RTM formulation using the weak form theory framework. The effectiveness of the proposed formulation is confirmed by microwave scattering induced by a metallic pillar placed asymmetrically in the waveguide. A notable feature of RTM is that it can extract a localized wave from scattering waves even if the tail of the localized wave reaches to the ends of analyzing region. The discrepancy between the experimental and theoretical data is suppressed with in an upper bound determined by the standing wave ratio of the waveguide.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.12 pp.2698-2708
- Publication Date
- 2013/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.2698
- Type of Manuscript
- PAPER
- Category
- Numerical Analysis and Optimization
Authors
Hatsuhiro KATO
University of Yamanashi
Hatsuyoshi KATO
Tomakomai National College of Technology
Keyword
Latest Issue
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Hatsuhiro KATO, Hatsuyoshi KATO, "New Formulation for the Recursive Transfer Method Using the Weak Form Theory Framework and Its Application to Microwave Scattering" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 12, pp. 2698-2708, December 2013, doi: 10.1587/transfun.E96.A.2698.
Abstract: The recursive transfer method (RTM) is a numerical technique that was developed to analyze scattering phenomena and its formulation is constructed with a difference equation derived from a differential equation by Numerov's discretization method. However, the differential equation to which Numerov's method is applicable is restricted and therefore the application range of RTM is also limited. In this paper, we provide a new discretization scheme to extend RTM formulation using the weak form theory framework. The effectiveness of the proposed formulation is confirmed by microwave scattering induced by a metallic pillar placed asymmetrically in the waveguide. A notable feature of RTM is that it can extract a localized wave from scattering waves even if the tail of the localized wave reaches to the ends of analyzing region. The discrepancy between the experimental and theoretical data is suppressed with in an upper bound determined by the standing wave ratio of the waveguide.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.2698/_p
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@ARTICLE{e96-a_12_2698,
author={Hatsuhiro KATO, Hatsuyoshi KATO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Formulation for the Recursive Transfer Method Using the Weak Form Theory Framework and Its Application to Microwave Scattering},
year={2013},
volume={E96-A},
number={12},
pages={2698-2708},
abstract={The recursive transfer method (RTM) is a numerical technique that was developed to analyze scattering phenomena and its formulation is constructed with a difference equation derived from a differential equation by Numerov's discretization method. However, the differential equation to which Numerov's method is applicable is restricted and therefore the application range of RTM is also limited. In this paper, we provide a new discretization scheme to extend RTM formulation using the weak form theory framework. The effectiveness of the proposed formulation is confirmed by microwave scattering induced by a metallic pillar placed asymmetrically in the waveguide. A notable feature of RTM is that it can extract a localized wave from scattering waves even if the tail of the localized wave reaches to the ends of analyzing region. The discrepancy between the experimental and theoretical data is suppressed with in an upper bound determined by the standing wave ratio of the waveguide.},
keywords={},
doi={10.1587/transfun.E96.A.2698},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - New Formulation for the Recursive Transfer Method Using the Weak Form Theory Framework and Its Application to Microwave Scattering
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2698
EP - 2708
AU - Hatsuhiro KATO
AU - Hatsuyoshi KATO
PY - 2013
DO - 10.1587/transfun.E96.A.2698
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2013
AB - The recursive transfer method (RTM) is a numerical technique that was developed to analyze scattering phenomena and its formulation is constructed with a difference equation derived from a differential equation by Numerov's discretization method. However, the differential equation to which Numerov's method is applicable is restricted and therefore the application range of RTM is also limited. In this paper, we provide a new discretization scheme to extend RTM formulation using the weak form theory framework. The effectiveness of the proposed formulation is confirmed by microwave scattering induced by a metallic pillar placed asymmetrically in the waveguide. A notable feature of RTM is that it can extract a localized wave from scattering waves even if the tail of the localized wave reaches to the ends of analyzing region. The discrepancy between the experimental and theoretical data is suppressed with in an upper bound determined by the standing wave ratio of the waveguide.
ER -
English
