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This paper presents a novel concept of a Two-Dimensional (2-D) Finite-Difference Time-Domain (FDTD) formulation for the numerical analysis of electromagnetic fields. FDTD method proposed by Yee is widely used for such analysis, although it has an inherent problem that there exist half-cell-length and half-time-step distances between electric and magnetic field components. To dissolve such distances, we begin with the finite-difference approximation of the wave equation, not Maxwell's equations. Employing several approximation techniques, we develop a novel algorithm which can condense all field components to equidistant discrete nodes. The proposed algorithm is evaluated in comparison with several conventional algorithms by computer simulations.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E84-C No.7 pp.981-993

- Publication Date
- 2001/07/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Electromagnetic Theory

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Koichi ICHIGE, Hiroyuki ARAI, "Concept and Evaluation of a 2-D FDTD Formulation Based on Expanded Wave Equation Approach" in IEICE TRANSACTIONS on Electronics,
vol. E84-C, no. 7, pp. 981-993, July 2001, doi: .

Abstract: This paper presents a novel concept of a Two-Dimensional (2-D) Finite-Difference Time-Domain (FDTD) formulation for the numerical analysis of electromagnetic fields. FDTD method proposed by Yee is widely used for such analysis, although it has an inherent problem that there exist half-cell-length and half-time-step distances between electric and magnetic field components. To dissolve such distances, we begin with the finite-difference approximation of the wave equation, not Maxwell's equations. Employing several approximation techniques, we develop a novel algorithm which can condense all field components to equidistant discrete nodes. The proposed algorithm is evaluated in comparison with several conventional algorithms by computer simulations.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/e84-c_7_981/_p

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@ARTICLE{e84-c_7_981,

author={Koichi ICHIGE, Hiroyuki ARAI, },

journal={IEICE TRANSACTIONS on Electronics},

title={Concept and Evaluation of a 2-D FDTD Formulation Based on Expanded Wave Equation Approach},

year={2001},

volume={E84-C},

number={7},

pages={981-993},

abstract={This paper presents a novel concept of a Two-Dimensional (2-D) Finite-Difference Time-Domain (FDTD) formulation for the numerical analysis of electromagnetic fields. FDTD method proposed by Yee is widely used for such analysis, although it has an inherent problem that there exist half-cell-length and half-time-step distances between electric and magnetic field components. To dissolve such distances, we begin with the finite-difference approximation of the wave equation, not Maxwell's equations. Employing several approximation techniques, we develop a novel algorithm which can condense all field components to equidistant discrete nodes. The proposed algorithm is evaluated in comparison with several conventional algorithms by computer simulations.},

keywords={},

doi={},

ISSN={},

month={July},}

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TY - JOUR

TI - Concept and Evaluation of a 2-D FDTD Formulation Based on Expanded Wave Equation Approach

T2 - IEICE TRANSACTIONS on Electronics

SP - 981

EP - 993

AU - Koichi ICHIGE

AU - Hiroyuki ARAI

PY - 2001

DO -

JO - IEICE TRANSACTIONS on Electronics

SN -

VL - E84-C

IS - 7

JA - IEICE TRANSACTIONS on Electronics

Y1 - July 2001

AB - This paper presents a novel concept of a Two-Dimensional (2-D) Finite-Difference Time-Domain (FDTD) formulation for the numerical analysis of electromagnetic fields. FDTD method proposed by Yee is widely used for such analysis, although it has an inherent problem that there exist half-cell-length and half-time-step distances between electric and magnetic field components. To dissolve such distances, we begin with the finite-difference approximation of the wave equation, not Maxwell's equations. Employing several approximation techniques, we develop a novel algorithm which can condense all field components to equidistant discrete nodes. The proposed algorithm is evaluated in comparison with several conventional algorithms by computer simulations.

ER -